Statistics Final Exam Review Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Assume that X has a normal distribution, and find the indicated probability.
1) The mean is μ = 60.0 and the standard deviation is σ = 4.0. 1)
Find the probability that X is less than 53.0.
A) 0.9599 B) 0.0802 C) 0.0401 D) 0.5589
2) The mean is μ = 15.2 and the standard deviation is σ = 0.9. 2)
Find the probability that X is greater than 15.2.
A) 1.0000 B) 0.0003 C) 0.5000 D) 0.9998
3) The mean is μ = 15.2 and the standard deviation is σ = 0.9. 3)
Find the probability that X is between 14.3 and 16.1.
A) 0.8413 B) 0.6826 C) 0.1587 D) 0.3413
Solve the problem.
4) The amount of rainfall in January in a certain city is normally distributed with a mean of 4.6 inches 4)
and a standard deviation of 0.3 inches. Find the value of the quartile Q1 .
A) 4.8 B) 4.5 C) 4.4 D) 1.2
Find the indicated probability.
5) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a 5)
standard deviation of $45. What is the probability that a randomly selected teacher earns more than
$525 a week?
A) 0.2177 B) 0.1003 C) 0.7823 D) 0.2823
Solve the problem.
6) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 6)
74 inches, and a standard deviation of 12 inches. What is the probability that the mean annual
snowfall during 36 randomly picked years will exceed 76.8 inches?
A) 0.0808 B) 0.4192 C) 0.5808 D) 0.0026
7) The weights of the fish in a certain lake are normally distributed with a mean of 12 lb and a 7)
standard deviation of 12. If 16 fish are randomly selected, what is the probability that the mean
weight will be between 9.6 and 15.6 lb?
A) 0.0968 B) 0.4032 C) 0.6730 D) 0.3270
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
8) A certain question on a test is answered correctly by 22% of the respondents. Estimate the 8)
probability that among the next 150 responses there will be at most 40 correct answers.
A) 0.8997 B) 0.0694 C) 0.1003 D) 0.9306
1
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, SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Construct a normal probability plot of the given data. Use your plot to determine whether the data come from a normally
distributed population.
9) The systolic blood pressure (in mmHg) is given below for a sample of 12 men aged 9)
between 60 and 65.
127 135 118 164
143 130 125 153
120 173 140 180
y
x
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
10) Find the critical value z α/2 that corresponds to a degree of confidence of 98%. 10)
A) 2.575 B) 2.05 C) 2.33 D) 1.75
Find the margin of error for the 95% confidence interval used to estimate the population proportion.
11) n = 169, x = 107 11)
A) 0.00269 B) 0.0727 C) 0.127 D) 0.0654
12) In a survey of 4100 T.V. viewers, 20% said they watch network news programs. 12)
A) 0.0122 B) 0.0160 C) 0.0140 D) 0.00915
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
13) n = 58, x = 28; 95 percent 13)
A) 0.353 < p < 0.613 B) 0.375 < p < 0.591
C) 0.374 < p < 0.592 D) 0.354 < p < 0.612
^
Find the minimum sample size you should use to assure that your estimate of p will be within the required margin of
error around the population p.
^ ^
14) Margin of error: 0.002; confidence level: 93%; p and q unknown 14)
A) 204,756 B) 204,757 C) 410 D) 409
^
15) Margin of error: 0.01; confidence level: 95%; from a prior study, p is estimated by the decimal 15)
equivalent of 69%.
A) 26,507 B) 8218 C) 14,184 D) 7396
2
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Assume that X has a normal distribution, and find the indicated probability.
1) The mean is μ = 60.0 and the standard deviation is σ = 4.0. 1)
Find the probability that X is less than 53.0.
A) 0.9599 B) 0.0802 C) 0.0401 D) 0.5589
2) The mean is μ = 15.2 and the standard deviation is σ = 0.9. 2)
Find the probability that X is greater than 15.2.
A) 1.0000 B) 0.0003 C) 0.5000 D) 0.9998
3) The mean is μ = 15.2 and the standard deviation is σ = 0.9. 3)
Find the probability that X is between 14.3 and 16.1.
A) 0.8413 B) 0.6826 C) 0.1587 D) 0.3413
Solve the problem.
4) The amount of rainfall in January in a certain city is normally distributed with a mean of 4.6 inches 4)
and a standard deviation of 0.3 inches. Find the value of the quartile Q1 .
A) 4.8 B) 4.5 C) 4.4 D) 1.2
Find the indicated probability.
5) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a 5)
standard deviation of $45. What is the probability that a randomly selected teacher earns more than
$525 a week?
A) 0.2177 B) 0.1003 C) 0.7823 D) 0.2823
Solve the problem.
6) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 6)
74 inches, and a standard deviation of 12 inches. What is the probability that the mean annual
snowfall during 36 randomly picked years will exceed 76.8 inches?
A) 0.0808 B) 0.4192 C) 0.5808 D) 0.0026
7) The weights of the fish in a certain lake are normally distributed with a mean of 12 lb and a 7)
standard deviation of 12. If 16 fish are randomly selected, what is the probability that the mean
weight will be between 9.6 and 15.6 lb?
A) 0.0968 B) 0.4032 C) 0.6730 D) 0.3270
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
8) A certain question on a test is answered correctly by 22% of the respondents. Estimate the 8)
probability that among the next 150 responses there will be at most 40 correct answers.
A) 0.8997 B) 0.0694 C) 0.1003 D) 0.9306
1
This study source was downloaded by 100000857259159 from CourseHero.com on 12-24-2022 12:56:36 GMT -06:00
https://www.coursehero.com/file/28572318/Statistics-Final-Exam-Reviewpdf/
, SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Construct a normal probability plot of the given data. Use your plot to determine whether the data come from a normally
distributed population.
9) The systolic blood pressure (in mmHg) is given below for a sample of 12 men aged 9)
between 60 and 65.
127 135 118 164
143 130 125 153
120 173 140 180
y
x
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
10) Find the critical value z α/2 that corresponds to a degree of confidence of 98%. 10)
A) 2.575 B) 2.05 C) 2.33 D) 1.75
Find the margin of error for the 95% confidence interval used to estimate the population proportion.
11) n = 169, x = 107 11)
A) 0.00269 B) 0.0727 C) 0.127 D) 0.0654
12) In a survey of 4100 T.V. viewers, 20% said they watch network news programs. 12)
A) 0.0122 B) 0.0160 C) 0.0140 D) 0.00915
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
13) n = 58, x = 28; 95 percent 13)
A) 0.353 < p < 0.613 B) 0.375 < p < 0.591
C) 0.374 < p < 0.592 D) 0.354 < p < 0.612
^
Find the minimum sample size you should use to assure that your estimate of p will be within the required margin of
error around the population p.
^ ^
14) Margin of error: 0.002; confidence level: 93%; p and q unknown 14)
A) 204,756 B) 204,757 C) 410 D) 409
^
15) Margin of error: 0.01; confidence level: 95%; from a prior study, p is estimated by the decimal 15)
equivalent of 69%.
A) 26,507 B) 8218 C) 14,184 D) 7396
2
This study source was downloaded by 100000857259159 from CourseHero.com on 12-24-2022 12:56:36 GMT -06:00
https://www.coursehero.com/file/28572318/Statistics-Final-Exam-Reviewpdf/
