03 May 20 MCQs In Statistics
1. The New York State Lottery advertises that, for its instant lottery games, there is a 4 in 21
chance of winning. If you buy only one instant lottery card, what is the chance you will win?
a. 4/21
b. 1/21
c. (4-1)/21
d. It is not possible to determine the expected relative frequency probability from the
information provided
2. Pascal tosses a penny 10 times and finds that 2 of those times the penny comes up heads
and 8 of those times, the penny comes up tails. What should Pascal conclude?
a. That the penny is an unfair penny
b. That the expected relative frequency probability of getting heads when tossing a penny
is 2/10
c. That it is more probable to get tails than it is to get heads when tossing a penny
d. That in the longterm, the expected relative frequency would be 5/10. Because she has
only tossed the penny 10 times, a different pattern has emerged.
3. Jack and Hugo each bought a lottery ticket. Hugo’s ticket is 4, 8, 15, 16, 23, and 42, and
Jack’s ticket is 1, 2, 3, 4, 5, and 6. Who is more likely to win the lottery?
a. Jack
b. Hugo
c. Neither; both are equally likely to win
d. Neither has any chance of winning.
4. The 110th Congress of the United States had 84 male Senators and 16 female Senators. If
one Senator is randomly selected, what is the probability that it will be a female Senator?
a. .84
b. .16
c. .19
d. .25
5. On this semester’s final exam, Susie scored 72 on her classics exam (class distribution: μ =
65, σ = 3.57) and 53 on her psychology exam (class distribution: μ = 49, σ = 2.04). For
which exam should Susie expect the better grade?
a. Classics
b. Psychology
c. The two exam scores are equivalent.
d. Cannot answer without additional information.
Please use the following information to answer questions 6 and 7:
A local bottling company has determined the number of machine breakdowns per month and
their respective probabilities as shown below:
Number of Breakdowns Probability
0 0.12
1 0.38
2 0.25
3 0.18
4 0.07
6. The probability of no breakdowns in a month is:
a. 0.88
b. 0.00
c. 0.50
d. 0.12
7. The probability of 3 or more breakdowns is:
a. 0.18
b. 0.75
c. 0.25
d. 0.07
Please use the following information to answer questions 8, 9, and 10:
The mean composite score for all men who took the SAT in 2006 was 1041 and the standard
deviation was 100:
8. What is the z score for a man who received an SAT score of 1120?
a. -.84
b. +.96
c. +.84
d. +.79
9. What is the raw score for a man with a z score of -0.62?
a. 979
b. 1103
c. 824
d. 1045
10. What is the raw score for a man with a z score of +1.9?
a. 1300
b. 1231
c. 1131
d. 1001
Please read and use the following information to answer questions 11, 12, and 13:
Big packages of M&M Plain Candies have a mean weight of 16 ounces with a standard deviation of .15 ounces. A chocolate loving researcher decides to a random sample of 20 big bags of M&M Plain Candies and finds a mean weight of 15.9 ounces with a standard deviation of .20 ounces.
11. Which of the following is a statistic?
a. 16
b. .15
c. 20
d. .20
12. Which of the following is a parameter?
a. 20
b. 15.9
c. 16
d. .20
13. What is the measure of spread of the sampling distribution of sample means?
a. .15
b. .20
c. .03
d. Unable to determine from the information provided
14. What proportion of a normal distribution corresponds to z scores greater than +1.04?
a. 0.3508
b. 0.1492
c. 0.6492
d. 0.8508
15. What is the percentage of observations that fall between a z score of-1.2 and +0.50?
a. 19.15
b. 38.49
c. 57.64
d. 19.34
16. Assume that the weight of greyhound dogs are normally distributed with a mean given by μ = 64.6 pounds and standard deviation given by σ = 2.2 pounds. What area under the
normal curve corresponds to the probability that a greyhound’s weight is between n 63.7
pounds and 64.7 pounds?
a. The area between z = -0.41 and z = 0.05
b. The area to the left of z = -0.41 and the area to the right of z = 0.05
c. The area to the right of z = -0.41
d. The area to the left of z = 0.05
17. It is known that the population mean for the verbal section of the SAT is 500 with a standard deviation of 100. In 2006, a sample of 400 students taking SAT whose family income was between $70,000 and $80,000 had a verbal SAT score of 511. The point estimate of the mean for this group is ___________ and the 99% confidence interval for this group is _____.
a. 500; (487.12, 512.88)
b. 511; (487.12, 512.88)
c. 500; (498.12, 523.88)
d. 511; (498.12, 523.88)
18. It is known that the population mean for the verbal section of the SAT is 500 with a standard deviation of 100. In 2006, a sample of 400 students taking SAT whose family income was between $70,000 and $80,000 had a verbal SAT score of 511. The point estimate of the mean for this group is ___________ and the 90% confidence interval for this group is _____.
a. 511; (502.78 519.23)
b. 511; (491.78, 508.23)
c. 500; (502.78, 519.23)
d. 500; (491.78, 508.23)
19. Which of the following percentiles corresponds to the area beneath the standard normal
curve from a z score of-1.00 to + 1.00?
a. 98%
b. 34%
c. 68%
d. 100%
20. It is known that the mean weight of the population of newborn infants is 7.4 pounds with a
standard deviation of 1.1 pounds. You sister Carlotta just had a baby girl who weighed in at
6.8 pounds. How does the weight of your new niece compare to that of newborn infants in
general?
a. She is 0.55 standard deviations less than the average weight of the population.
b. She is 0.55 standard errors less than the average weight of the population.
c. She is 0.55 standard deviations more than the average weight of the population.
d. She is 0.55 standard errors more than the average weight of the population.
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