https://wps.pearsoned.co.uk/ema_uk_he_PX_statpsych/205/52610/13468253.cw/index.html
http://www.umfcv.ro/files/b/i/Biostatistics%20-%20Multiple%20choice%20questions(1).pdf
Quiz 2021
Question 1
The heights of 100 secondary students in Malaysia is a
Select one:
a. Neither
b. Sample Correct
c. Both population and sample
d. Population
The correct answer is: Sample
Question 2
The number of books sold by all bookstores in Melaka is
Select one:
a. Neither
b. Population
c. Both population and sample
d. Sample
The correct answer is: Population
Question 3
What is the suitable type of variable for ‘height of a student’?
Select one:
a. Quantitative discrete
b. Qualitative
c. Quantitative continuous
d. None
The correct answer is: Quantitative continuous
Question 4
What is the suitable type of variable for ‘favourite colour’?
Select one:
a. None
b. Quantitative continuous
c. Qualitative
d. Quantitative discrete
The correct answer is: Qualitative
Question 5
What is the suitable type of measurement Housewives’ preferences among 5 brands of
Select one:
a. Ordinal
b. Interval
c. Nominal
d. Ratio
The correct answer is: Nominal
Question 6
Analysis of variance (ANOVA) is a statistical method of comparing the _____of several populations
Select one:
a. Mean
b. Variances
c. None of the above
d. Standard Deviation
The correct answer is: Mean
Question 7
The______ sum of squares measures the variability of the sample treatment means around the overall mean
Select one:
a. Interaction
b. Total
c. Treatment
d. Error
The correct answer is: Treatment
Question 8
The correlation coefficient is used to determine:
Select one:
a. A specific value of the y-variable given a specific value of the x-variable
b. None of these
c. The strength of the relationship between the x and y variables
d. A specific value of the x-variable given a specific value of the y-variable
The correct answer is: The strength of the relationship between the x and y variables
Question 9
If there is a very strong correlation between two variables then the correlation coefficient must b
Select one:
a. much smaller than 0, if the correlation is negative
b. any value larger than 1
c. much larger than 0, regardless of whether the correlation is negative or positive
d. None of these alternatives is correct.
The correct answer is: much larger than 0, regardless of whether the correlation is negative or positive
Question 10
The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: != -0.0127 + 0.0180x The above equation implies that:
Select one:
a. each beer consumed increases blood alcohol by exactly 0.018
b. each beer consumed increases blood alcohol by an average of amount of 1.8%
c. on average it takes 1.8 beers to increase blood alcohol content by 1%
d. each beer consumed increases blood alcohol by 1.27%
The correct answer is: on average it takes 1.8 beers to increase blood alcohol content by 1%
April 2019
17. What is the formula of calculating confidence interval in confidence interval estimation?
(A) Point estimate x margin of error
(B) Point estimate + margin of error
(C) Point estimate - margin of error
(D) Point estimate ± margin of error*
18. A certain medication is known to increase the pulse rate of its users. The standard deviation of the pulse rate is known to be 5 beats per minute. A sample of 30 users had an average pulse rate of 104 beats per minute. Find the 99% confidence interval of the true mean.
(A) Between 101.6 and 106.4 beats per minute
(B) Between 106.4 and 101.6 beats per minute
(C) Between 102.2 and 105.8 beats per minute
(D) Between 105.8 and 102.2 beats per minute
19. If a sample is not a representative sample, this implies that
(A) there is not enough data were collected
(B) the data are not normally distributed
(C) the data consist mainly of negative numbers
(D) this sample should not be used to make inferences about the population*
(A) n/σ
(B) σ/n
(C) σ/√n*
(D) n/√σ
21. IQ scores are distributed with µ=100 and σ=15. What is the standard error of mean for sample size of 25?
(A) 3.00*
(B) 1.67
(C) 0.60
(D) 6.45
Aug 2015
SECTION A: OBJECTIVE QUESTIONS (30 MARKS)
CHOOSE ONE BEST STATEMENT TO ANSWER THE QUESTIONS
1. What is descriptive statistic?
(A) Subset of the population--sample
(B) Proportion of the population
(C) Describes the main features of information*--measure of variability & central tendency
(D) Making conclusion from the information obtained
2. What is inferential statistics?
(A) Subset of the population
(B) Proportion of the population
(C) Describes the main features of information
(D) Draw conclusion from the observation and analysis of data*
3. Which of the following symbols represent a sample parameter?
(A) σ*
(B) r
(C) 0
(D) SD
4. Characteristics of a population is known as
(A) sample
(B) statistics
(C) parameter*
(D) distribution
5.
16, 10, 10, 12, 16, 14, 11
Figure 1
What is the median for the above set of scores in Figure 1?
(A) 16
(B) 10
(C) 12*
(D) 14
6. Choose the category of measure for standard deviation.
(A) A measure of variability*/dispersion
(B) A measure of probability
(C) A measure of distribution
(D) A measure of central tendency
7. The denominator (bottom) of z-score formula is consist of the
(A) mean
(B) range
(C) standard deviation*
(D) difference between a score and the mean
8. What is the percentage of scores that fall within two standard deviations (2 SD) of the mean in a normal distribution?
(A) 99%
(B) 95%*
(C) 68%
(D) 80%
9. The probability of select of event of total samples varies between
(A) 0 and 1*
(B) 0 and 2
(C) 0 and 3
(D) -1 and +1
10. Calculate the probability of P(A) U P(B) if P(A) = 0.4, P(B) = 0.2 and it is a mutually exclusive event.
(A) 0.80
(B) 0.60*
(C) 0.40
(D) 0.20
11. The middle observation in a set of values is called the
(A) mean
(B) mode
(C) median*
(D) standard deviation
17. A statistical test used to study the relationship between two variables is known as
(A) chi-square test
(B) correlational analysis*
(C) independent sample t-test
(D) one-way analysis of variance (ANOVA)
18. If a distribution is skewed to the right, then it is
(A) symmetrical
(B) not symmetrical
(C) positively skewed*
(D) negatively skewed
19. Given P(male students) = 0.2 and P(bumiputera students) = 0.3, calculate the probability of being male and bumiputera students if gender and nationality are independent events.
(A) 0.03
(B) 0.06*
(C) 0.50
(D)0.10
P (AUB) 0.2 . 0.3= 0.06
20. Diastolic pressure in hypertensive babies centres about 100 mmHg and has a standard deviation of 16 mmHg and is normally distributed. Find the probability of diastolic pressure is less than 90 mmHg.
(A) 0.0668
(B) 0.1974
(C) 0.6250
(D) 0.2660*
90-100/16=-0.625
21. Scores on a particular test are normally distributed with a mean of 100 and a standard deviation of 10. Calculate the probability of a score between 90 and 115.
(A) 0.1587
(B) 0.7745*
(C) 0.9332
(D) 0.1587
90-100/10= -1
115-100/10=1.5
0.93319-0.15866=0.77453
22. Which of the following is a measure of central tendency?
(A) range
(B) mean*
(C) variance
(D) standard deviation
23. A company research department took a sample of 36 comparable textbooks and collected information on their prices. The mean price of the sample was RM70.50 and standard deviation was RM4.50. The 95% confidence interval for the mean price of all such medical textbooks is between
(A) RM69.00 and RM72.00*
(B) RM69.26 and RM71.74
(C) RM72.50 and RM78.50
(D) RM65.50 and RM71.50
95%=70.5±1.96(4.5/√36)=69.03, 71.97
mean=70.5, s=4.5, n=36
24. Select the MOST common level of significance used among the researchers.
(A) 0.05 and 0.01*
(B) 0.02 and 0.08
(C) 0.01 and 0.08
(D) 0.05 and 0.02
25. A non-symmetric frequency distribution is known as
(A) normal distribution
(B) skewed distribution*
(C) significant distribution
(D) cumulative frequency distribution
26. What does the whisker line in a whisker-box plot display represent?
(A) the range
(B) the median
(C) the interquartile range
(D) the smallest and largest observations*
For Questions 27 and 28, refer to Figure 2.
13 15 17 19 21 23 25 27 29 31 33
Figure 2
27. What is the third quartile of these data?
(A) 23
(B) 25
(C) 27*
(D) 29
28. What is the interquartile range of these data?
(A) 10*=27-17
(B) 17
(C) 23
(D) 27
29. Select the type of variable for haemoglobin and cholesterol level.
(A) ratio*--continuous
(B) interval
(C) discrete
(D) ordinal
30. Choose the BEST example for nominal data.
(A) height
(B) weight
(C) satisfaction level
(D) blood group type*
SECTION B : SHORT ANSWER QUESTIONS (30 MARKS)
ANSWER ALL QUESTIONS
1. Explain briefly and illustrate normal distribution concept. (10 Marks)
2. Give the assumptions for the following statistical tests. (10 Marks)
a. Independent t-test
b. Paired t-test
c. Chi-square test
d. Analysis of Variance (ANOVA)
e. Correlational analysis
3. Define the following probability determination and draw the Venn diagram.
a. Mutually exclusive events (5 Marks)
b. Non-mutually exclusive events (5 Marks)
Jan 2015
SECTION A: OBJECTIVE QUESTIONS (30 MARKS)
CHOOSE ONE BEST STATEMENT TO ANSWER THE QUESTIONS
1. A population in statistics means
(A) a collection of all men
(B) a collection of all women
(C) a collection of all people living in a country
(D) a collection of all subjects or objects of interest*
2. A sample in statistics means
(A) a portion of the people in a class
(B) a portion of the population of interest*
(C) a portion of the people selected from the population of an area
(D) a portion of the people selected from the population of a country
3. Which of the following symbols represent a correlation coefficient?
(A) σ
(B) r*
(C) 0
(D) SD
4. The branch of statistics that deals with testing of hypothesis, making predictions using data collected is called as
(A) biostatistics
(B) applied statistics
(C) inferential statistics*
(D) descriptive statistics
5.
20, 15, 17, 38, 44, 57
Figure 1
What is the median of the following set of scores in Figure 1?
(A) 29
(B) 39
(C) 58
(D) 20*
6. Which of the following results in categorical data?
(A) Measuring in litres the petrol tank capacity of cars.
(B) Counting the number of cars that pass through a toll-booth.
(C) Respondents asked if they prefer to have white hair, black hair or brown hair.*
(D) Counting the number of red cars, white cars and blue cars in a large parking site.
7. Which of the following is an ordinal scale?
(A) number of children
(B) marital status of subjects
(C) ethnic group of respondents
(D) income level of respondents*
8. What is the percentage of scores that fall within two standard deviation (2 SD) of the mean in a normal distribution?
(A) 99%
(B) 95%*
(C) 68%
(D) 80%
9. The standard deviation is the square of
(A) mean
(B) variance*
(C) regression
(D) standard error
10. A circle divided into sectors proportional to the frequency of items shown is called a
(A) pie chart*
(B) bar chart
(C) histogram
(D) frequency polygon
11. If a couple wants to have two children, what is the probability of getting a boy and a girl?
(A) 1
(B) 1/4*=1/2 X 1/2
(C) 1/2
(D) 3/4
2 boy, 2 girl, 1 boy 1 girl
and=X
or= /
12. Assume that overtime pay for workers at Factory X is normally distributed with
= RM400 and = RM60. Find the proportion of workers with overtime pay of
RM400 and RM490.
(A) 0%
(B) 43%
(C) 50%
(D) 6.7%
13. Give the value of mean and standard deviation for standard normal distribution.
(A) mean = 0, standard deviation = 1*
(B) mean = 1, standard deviation = 0
(C) mean = -1, standard deviation = 1
(D) mean = 1, standard deviation = -1
14. What are the characteristics of normal distribution?
(A) has equal shape
(B) has bell-shaped curve*
(C) total area under curve is 0
(D) not symmetrical about the mean
15. Choose the CORRECT criteria in performing a t-test.
(A) qualitative data
(B) quantitative data*
(C) sample size less than five
(D) variable not normally distributed
16. What is the percentage usually used as the confidence interval?
(A) 95%*
(B) 68%
(C) 80%
(D) 50%
17. A statistical test used to compare means between more than two groups is known as
(A) chi-square test
(B) correlational analysis
(C) independent sample t-test
(D) one-way analysis of variance (ANOVA)*
18. If a distribution is skewed to the left, then it is
(A) Symmetrical
(B) not symmetrical
(C) positively skewed
(D) negatively skewed*
19. For two events, A and B, P(A) = 0.45, and P(B) = 0.20. If A and B are independent, find P(A∩B).
(A) 0.65
(B) 0.09*
(C) 0.25
(D) 0.05
20. The fiftieth percentile or the middle point in a set of data also known as
(A) mean
(B) mode
(C) median*
(D) variance
21. Choose the type of graph that uses cumulative frequency distribution.
(A) ogive*
(B) bar graph
(C) line graph
(D) scatter plot
22. Which of the following is NOT a measure of tendency?
(A) mean
(B) range*
(C) mode
(D) median
23. Which of the following statements is a null hypothesis?
(A) The mean blood pressure between male and female population is different.
(B) There is no significant association between age and quality of life cancer patients.*
(C) There is a significant difference of mean of quality of life score between male and female patients.
(D) There is a significant correlation between the duration of survivorship and quality of life cancer patients.
24. Select the MOST COMMON level of significance used among the researchers.
(A) 0.05 and 0.01*
(B) 0.02 and 0.08
(C) 0.01 and 0.08
(D) 0.05 and 0.02
25. What is the statistical test for a not normal distributed data?
(A) Chi-square test
(B) parametric test
(C) non parametric test*
(D) skewed statistical test
26. Whisker in whisker-and-box plot refers to
(A) the median
(B) the outliers
(C) the interquartile range
(D) the smallest and the largest observations*
For Question 27 and 28, refer to Figure 2.
9 11 13 14 15 17 18 18 18 20 37 47 50 61
Figure 2
27. What is the mode of these data?
(A) 9
(B) 18*
(C) 61
(D) 47
28. What is the interquartile range of these data?
(A) 14
(B) 37
(C) 10.5
(D) 11.5
29. Systolic blood pressure of 556 males were taken and the mean was found to be 128 mm/Hg and standard deviation is 13.05 mm/Hg. Find the 95% confidence limits of systolic blood pressure within which the population mean would lie.
(A) 127.7 and 129.9
(B) 128.8 and 129.9
(C) 127.7 and 128.8
(D) 129.9 and 130.0
95%=128±1.96(13.05/√556)
mean=128, s=13.05, n=556
30. Mean height of 500 students is 160 cm and the standard deviation is 5 cm. What is the chance of heights above 175 cm?
(A) 0.0013*
(B) 0.4987
(C) 0.4974
(D) 0.0103
160-175/5=1.35 X 10^-3
SECTION B : SHORT ANSWER QUESTIONS (30 MARKS)
ANSWER ALL QUESTIONS
1. Define the following probability using the Venn diagram.
a. Complement probability (5 Marks)
b. Non-mutually exclusive probability (5 Marks)
2. a. List test of normality (6 Marks)
b. Write down the non-parametric tests. (4 Marks)
3. Give example for the following statistical tests. (10 Marks)
a. Independent sample t-test
b. Paired t-test
c. Chi-square test
d. Correlational analysis
e. Analysis of variance (ANOVA)
Aug 2014
SECTION A: OBJECTIVE QUESTIONS (30 MARKS)
CHOOSE ONE BEST STATEMENT TO ANSWER THE QUESTIONS
1. What is descriptive statistic?
(A) subset of the population
(B) proportion of the population
(C) describes the main features of information*
(D) making conclusion from the information obtained
2. What is inferential statistics?
(A) subset of the population
(B) proportion of the population
(C) describes the main features of information
(D) draw conclusion from the observation and analysis of data*
3. Which of the following symbols represent a population parameter?
(A) σ*
(B) r
(C) 0
(D) SD
4. A subset of a population is known as
(A) sample*
(B) statistics
(C) parameter
(D) distribution
5. What is the median of the following set of scores? 6, 10, 12, 14, 18?
(A) 6
(B) 10
(C) 12*
(D) 14
6. The standard deviation is
(A) a measure of variability*
(B) a measure of probability
(C) a measure of distribution
(D) a measure of central tendency
7. The denominator (bottom) of z-score formula is
(A) the mean
(B) the range
(C) the standard deviation*
(D) the difference between a score and the mean
8. What is the percentage of scores that fall within one standard deviation (1 SD) of the mean in a normal distribution?
(A) 99%
(B) 95%*
(C) 68%
(D) 80%
9. The probability of select of event of total samples varies between
(A) 0 and 1*
(B) 0 and 2
(C) 0 and 3
(D) -1 and +1
10. Calculate the probability of P(A)UP(B) if P(A) = 0.3, P(B) = 0.5 and is not mutually exclusive.
(A) 0.80*
(B) 0.20
(C) 0.50
(D) 0.30
11. The most frequently occurring number in a set of values is called the
(A) mean
(B) mode*
(C) median
(D) standard deviation
12. Choose the best measure of central tendency.
(A) mean*
(B) range
(C) median
(D) variance
13. Name the test involved in comparing means between two groups.
(A) chi-square
(B) paired t-test
(C) Student’s t-test
(D) independent sample t-test*
14. Select formula for range.
(A) H + L
(B) L x H
(C) L - H
(D) H - L*
15. The value that is used in calculating the arithmetic average is known as
(A) mean*
(B) mode
(C) median
(D) standard deviation
16. What is the percentage usually used as the confidence interval?
(A) 95%*
(B) 68%
(C) 90%
(D) 50%
17. A statistical test used to compare means between more than two groups is known as
(A) chi-square test
(B) correlational analysis
(C) independent sample t-test
(D) one-way analysis of variance (ANOVA)*
18. If a distribution is skewed to the left, then it is
(A) symmetrical
(B) not symmetrical
(C) positively skewed
(D) negatively skewed*
19. Given P(male) = 0.3 and P(blood group O) = 0.5, calculate the probability of being male and have type O blood group if gender and blood group are independent events.
(A)0.3
(B) 0.5
(C) 0.8
(D)0.15*
20. The fiftieth percentile or the middle point in a set of data also known as
(A) mean
(B) mode
(C) median*
(D) variance
21. Name the type of graph that uses vertical bars to represent data.
(A) pie chart
(B) bar graph*
(C) line graph
(D) scatterplot
22. Which of the following is NOT a measure of variability?
(A) range
(B) median*
(C) variance
(D) standard deviation
23. Which of the following statements is a null hypothesis?
(A) The coin is not fair.
(B) The defendant is guilty.
(C) There is a difference between male and female income in the population.
(D) There is no difference between male and female income in the population.*
24. Select the most common level of significance used among the researchers.
(A) 0.05 and 0.01*
(B) 0.02 and 0.08
(C) 0.01 and 0.08
(D) 0.05 and 0.02
25. A non-symmetric frequency distribution is known as
(A) normal distribution
(B) skewed distribution*
(C) significant distribution
(D) cumulative frequency distribution
26. What does the length of the box in a box plot represent?
(A) the mean
(B) the range
(C) the median
(D) the interquartile range*--upper & lower quartile
For Question 27 and 28, refer to Figure 1.
10 12 10 18 16 15 9 14 11 13 12 16
9, 10, 10, 11, 12, 12, 13, 14, 15, 16, 16, 18
Figure 1
27. What is the median of these data?
(A) 9
(B) 12
(C) 13
(D) 12.5*=12+13/2
28. What is the interquartile range of these data?
(A) 4
(B) 5*=15-10
(C) 6
(D) 9
29. Select the type of variable for gender and blood group.
(A) ratio
(B) interval
(C) discrete
(D) nominal*
30. Choose the best example for continuous data.
(A) sex
(B) injury
(C) weight*
(D) blood group type
SECTION B : SHORT ANSWER QUESTIONS (30 MARKS)
ANSWER ALL QUESTIONS
1. a. Define
i. Conditional probability (2 Marks)
ii. Mutually exclusive probability (2 Marks)
b. In probability determination, define the terms union, intersection and complement using the Venn diagram. (6 Marks)
2. Briefly describe the FOUR (4) types of scales measurements. (10 Marks)
3. a. List parametric and non-parametric tests. (6 Marks)
b. What are the null and alternate hypotheses? (4 Marks)
Jan 2014
SECTION A: OBJECTIVE QUESTIONS (30 MARKS)
Choose ONE best option to answer the questions.
1. In a week the prices of a bag of rice are RM350, RM280, RM340, RM290, RM320, RM310, and RM300. The range is
(A) 60
(B) 70*
(C) 80
(D) 90
2. Chi square test is used to analyse data in the form of
(A) data set array
(B) Oscillation data samples
(C) matrix data presentation
(D) nominal data presentation*
3. Find the median of the following data.
160,180, 200, 280, 300, 320, 400
(A) 140
(B) 180
(C) 240
(D) 280*
4. For the comparison of three sample mean, justified whether t-test can be applied validly
(A) using the three sample mean
(B) using only one sample mean
(C) if given that values of variance
(D) using of only two sample mean*
5. In which of these cases would the mode be most useful as an indicator of central tendency?
(A) All values in a data set occur 100 times each
(B) Every value in a data set occurs exactly once
(C) Every observation in a data set has the same value
(D) All but three values in a data set occur once; three values occur 100 times each
6. Suppose a simple random sample of 150 students is drawn from a population of 3000 college students. The average IQ score of the sample is 115 with a standard deviation of 10. What is the 99% confidence interval for the students' IQ score?
(A) 115 + 0.01*
(B) 115 + 0.82
(C) 115 + 2.10
(D) 115 + 2.60
7. The range from 1st quartile to 2nd quartile is called
(A) fractiles
(B) quartiles*
(C) percentiles
(D) interquartiles=Q3-Q1
8. The variance is related to the distribution of the
(A) mean
(B) mode
(C) median
(D) standard deviation*
9. When a distribution is symmetrical and has one mode, the highest point on the curve is called the center tendency EXCEPT for
(A) mean
(B) mode
(C) range*
(D) median
10. A coin is tossed three times. What is the probability that it lands on heads exactly one time?
(A) 0.125
(B) 0.250
(C) 0.333*
(D) 0.375
11. Which of the following could never be described by a binomial distribution?
(A) The number of aids case a month.
(B) The amount of water used daily by a single household a year.
(C) The number of defective widgets produced by an assembly process.
(D) The number of people in your class who can answer this question correctly.*
12. For a specific sample size, the width of a 95% confidence interval on μ
(A) would be larger than the width of a 90% confidence interval on μ.*
(B) would be the same as the width of a 90% confidence interval on μ.
(C) would be smaller than the width of a 90% confidence interval on μ.
(D) cannot be compared to the width of a 90% confidence interval on μ.
13. Disadvantages of using the range as a measure of dispersion includes all of the following EXCEPT
(A) it is difficult to calculate*
(B) it is heavily influenced by extreme values
(C) it is determined by only two points in the data set
(D) it can change drastically from one sample to the next
14. The standard normal distribution is a normal distribution whose
(A) mean is μ=1 and standard deviation σ=0
(B) mean is μ=0 and standard deviation σ=1*
(C) mean μ can be determined by using a z-score
(D) mean μ can have any real value and standard deviation σ=1
15. Why is it necessary to square the differences from the mean when computing the population variance?
(A) Some values do not affect the calculation
(B) It is possible that N could be very small
(C) The extreme values will not affect the calculation
(D) Some of the differences will be positive and some will be negative*
16. A sample survey
(A) is the same as a census
(B) is the same as a sampling frame
(C) attempts to acquire data from a subset of a population
(D) attempts to acquire data from every member of a population*
17. The cumulative binomial probability P(X≤ 4) corresponds to
(A) the probability of getting exactly 4 successes in our binomial experiment.
(B) the probability of getting fewer than 4 successes in our binomial experiment.
(C) the probability of not getting exactly 4 successes in our binomial experiment.
(D) the probability of getting no more than 4 successes in our binomial experiment.
18. Scores on the math section of a college entrance exam are normally distributed with mean μ= 22.4 and standard deviation σ=3.1. Find the probability that a randomly selected test-taker will score 25 or higher on the math section of this exam.
(A) 0.1613
(B) 0.2005
(C) 0.7995
(D) 0.8387
19. What is TRUE for a distribution that is skewed left?
(A) The mean is less than the median and the sum of deviations is zero.
(B) The mean is larger than the median and the sum of deviations is zero.
(C) The mean is less than the median and the sum of deviations is negative.*
(D) The mean is larger than the median and the sum of deviations is negative.
20. Every normal distribution
(A) is asymmetric
(B) is not symmetric
(C) is symmetric about its mean μ=0*
(D) is symmetric about its mean μ, but the mean is not necessarily 0
Question 21-25.
Suppose the scores on an examination are normally distributed with a mean of 50 and a standard deviation of 10.
21. What is the probability that the score of a student will be higher than 56.5?
(A) 0.2578
(B) 0.7422
(C) 0.7578
(D) 0.2422
22. What proportion of the students score below 45?
(A) 0.1915
(B) 0.3085
(C) 0.5000
(D) 0.6915
23. What is the z score that corresponds to the score 44?
(A) 0.6
(B) -0.6
(C) 6.0
(D) -6.0
24. What is the raw score that corresponds to z = 1.5?
(A) 35
(B) 50
(C) 65
(D) 70
25. If repeated samples of size n = 25 is taken from the scores, what is the standard deviation of the distribution of the sample mean?
(A) 1
(B) 2
(C) 3
(D) 4
26. A consumer advocate claims that more than 10% of the bolts from supplier Y are defective. To test this claim, the correct alternative hypothesis is
(A) p = 0.1
(B) p ≠ 0.1
(C) p < 0.1
(D) p > 0.1
27. A consumer claims that car model of type 1 has a lower average miles per gallon than car model of type 2. Let μ1 and μ2 represent the average miles per gallon for types 1 and 2 respectively. Which of the following is the correct null hypothesis?
(A) μ1 > μ2
(B) μ1 ≥ μ2
(C) μ1 ≤ μ2
(D) μ1 < μ2
28. Suppose the coefficient of correlation between the two variables x and y was found to be 0.96, we can say that x and y
(A) have a strong linear relationship.*
(B) do not have a strong linear relationship.
(C) have means that are significantly different.
(D) have variances that are significantly different.
29. Which of the following statements is correct?
(A) The median is a measure of dispersion.
(B) The range is a measure of central tendency.
(C) For a skewed distribution, the variance is a negative number.
(D) For a symmetric distribution, the mean is equal to the median.*
30. After a test, Azman found out that he scored in the 80th percentile. This means
80% students score below Azman, 20% is above
(A) Azman answered 80% of the questions correctly.
(B) At least 80% of the students who took the test did better than Azman.
(C) Azman scored as high or higher than 20% of the students who took the test.
(D) Azman scored as high or higher than 80% of the students who took the test.*
SECTION B: SHORT ANSWER QUESTIONS (30 MARKS)
Answer ALL the questions.
1. Classify the following data as nominal, ordinal, interval, or ratio. Explain your choice.
a. Average monthly rainfall in inches for the city of Petaling Jaya throughout the year. (2 Marks)
b. Age of the respondents in the survey. (2 Marks)
c. The year in which the respondent was born. (2 Marks)
2. a. Calculate the mean, median, and mode for the following data set:
20, 15, 24, 10,8, 19, 24, 12, 21, 6. (3 Marks)
b. Calculate the mean, median, and mode for the following data set:
84, 82, 90, 77, 75, 77, 82, 86, 82 (3 Marks)
3. The age of customers for a particular retail store follows a normal distribution with µ = 37.5 years and σ = 7.6 years. What is the probability that the next customer who enters the store will be …
a. More than 31 years old? (2 Marks)
b. Less than 42 years old? (2 Marks)
c. Between 40 and 45 years old? (2 Marks)
4. a. The number of pieces of mail that I receive daily follows a Poisson distribution with a mean value of 4.2 per day. What is the probability that I will receive more than two pieces of mail tomorrow? (3 Marks)
b. The number of employees who call in sick on Monday follows a Poisson distribution with a mean value of 3.6. What is the probability that no more than three employees will call in sick next Monday? (3 Marks)
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