Deck 5: Normal Probability Distributions

Question 1

Use the Standard Normal distribution to answer the following questions.
Identify the probability corresponding to a z-score of greater than -1.57.

A) .9418
B) .0582
C) .5711
D) .6293

Answer 1

.9418

Question 2

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Find the probability of a woman between the ages of 20 to 29 having a score of between 30 ml/min/kg and 42 ml/min/kg.

Answer 2

.6102

Question 3

Use the Standard Normal distribution to answer the following questions.
Identify the probability corresponding to z-scores between -1.33 and .57

A) .0918
B) .9082
C) .8165
D) .6239

Answer 3

.6239

Question 4

Use the following population data for the next questions. At a bird-watching
center, the number of yellow-throated warblers observed over Memorial Day
Weekend was: three on Saturday, 10 on Sunday, and eight on Monday. Assume
sample sizes of two are randomly selected with replacement from this population.
Find the mean of the sampling distribution of yellow-throated warblers.

Question 5

Use the following population data for the next questions. At a bird-watching
center, the number of yellow-throated warblers observed over Memorial Day
Weekend was: three on Saturday, 10 on Sunday, and eight on Monday. Assume
sample sizes of two are randomly selected with replacement from this population.
Compare the mean of the sampling distribution of yellow-throated warblers to the mean of the population of yellow-throated warblers.

Question 6

Use the following data for the next questions. The ages of five residents in aretirement community are:
Describe whether the data appear to come from a population of ages of residents in a retirement community that has a normal distribution.

Question 7

Use the following distribution for the next questions. The management at an
environmental consulting firm claims the mean weekly salary is $275 with a
standard deviation of $34.10.
If management's claims are true, what is the probability that a group of 40 workers would make an average weekly salary less than $264.50?

Question 8

Use the Standard Normal distribution to answer the following questions.
Find the z-score that corresponds to .

Question 9

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Determine the minimum VO score for elite women ages 20 to 29 scoring in the top 10%.

Question 10

Choose the choice of statistics that best target population parameters.

A) Variance and range
B) Range and standard deviation
C) Variance, mean, and proportion
D) Proportion, mean, and standard deviation

Question 11

The mileage of the hybrid, the Honda Insight, is normally distributed with a mean
of 63.4 mpg and a standard deviation of 12.6 mpg.
If it is possible to use the Central Limit Theorem, find the probability that the mean of six Honda Insights exceeds 70 mpg.

Question 12

Use the Standard Normal distribution to answer the following questions.
Identify the probability corresponding to a z-score of greater than -1.33.

A) .0918
B) .9082
C) .8165
D) .6239

Question 13

Use the following population data for the next questions. At a bird-watching
center, the number of yellow-throated warblers observed over Memorial Day
Weekend was: three on Saturday, 10 on Sunday, and eight on Monday. Assume
sample sizes of two are randomly selected with replacement from this population.
Identify the probability of each sample of yellow-throated warblers and describe the sampling distribution of sample means.

Question 14

Use the Standard Normal distribution to answer the following questions.
Find the z-score that corresponds to .

Question 15

Use the following distribution for the next questions. The management at an
environmental consulting firm claims the mean weekly salary is $275 with a
standard deviation of $34.10.
If management's claims are true, what is the probability that an individual worker would make an average weekly salary less than $264.50?

Question 16

Use the following data for the next questions. The ages of five residents in aretirement community are:
Construct a normal quantile plot.

Question 17

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Determine the maximum VO2MAX score for women needing aerobic power intervention ages 20 to 29 scoring in the bottom 20%.

Question 18

Use the Standard Normal distribution to answer the following questions.
Identify the probability corresponding to a z-score of less than -1.33.

A) .0918
B) .9082
C) .8165
D) .6239

Question 19

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Find the probability of a woman between the ages of 20 to 29 having a score of greater than 45 ml/min/kg.

Question 20

Use the Normal distribution to approximate the following Binomial distribution.
Paramedics noticed that at a certain intersection 15% of all vehicles run the stop light. On a typical day, 1000 vehicles pass through the intersection. Find the probability that more than 175 cars will run the stop light.

Question 21

Use the following data for the next questions. The number of prescriptions
filled (in millions) through patient assistance programs during the last eight years
was:
Describe whether the data appear to come from a population of the number of prescriptions filled through patient assistance programs that has a normal distribution.

Question 22

Use the Normal distribution to approximate the following Binomial distribution.
Tooth decay remains the most common chronic disease among children with 59% affected. On a typical day, a dentist sees 40 children. What is the probability that more than 20 children will have tooth decay?

Question 23

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Find the probability of a man ages 20 to 29 having a score of between 38 ml/min/kg and 48 ml/min/kg.

Question 24

Use the following population data for the next questions. At a bird-watching
center, the number of hooded orioles observed over Memorial Day Weekend was:
10 on Saturday, three on Sunday, and eight on Monday. Assume sample sizes of
two are randomly selected with replacement from this population.
Compare the mean of the sampling distribution of hooded orioles to the mean of the population of hooded orioles.

Question 25

Use the Standard Normal distribution to answer the following questions.
Identify the probability corresponding to a z-score of less than -1.57.

A) .9418
B) .0582
C) .5711
D) .6293

Question 26

Choose the choice of statistics that best target population parameters.

A) Variance and range
B) Variance, mean, and proportion
C) Range and standard deviation
D) Proportion, mean, and standard deviation

Question 27

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Determine the maximum VO2MAX score for men needing aerobic power intervention ages 20 to 29 scoring in the bottom 20%.

Question 28

Use the Standard Normal distribution to answer the following questions.
Find the z-score that corresponds to .

Question 29

The mileage of the hybrid, the Toyota Prius, is normally distributed with a mean
of 47.7 mpg and a standard deviation of 5 mpg.
If it is possible to use the Central Limit Theorem, find the probability that the mean of six Toyota Prius hybrids exceeds 52 mpg.

Question 30

Use the Standard Normal distribution to answer the following questions.
Identify the probability corresponding to z-scores between -1.57 and .33

A) .9418
B) .0582
C) .5711
D) .6293

Question 31

Use the Standard Normal distribution to answer the following questions.
Find the z-score that corresponds to .

Question 32

Use the following population data for the next questions. At a bird-watching
center, the number of hooded orioles observed over Memorial Day Weekend was:
10 on Saturday, three on Sunday, and eight on Monday. Assume sample sizes of
two are randomly selected with replacement from this population.
Identify the probability of each sample of hooded orioles and describe the sampling distribution of sample means.

Question 33

Use the following distribution for the next questions. A dentist claims that the
mean number of times a woman smiles per day is 62 with a standard deviation of
If the dentist's claims are true, what is the probability that a randomly selected sample of 50 women would smile less than 58 times?

Question 34

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Find the probability of a man ages 20 to 29 having a score of greater than 48 ml/min/kg.

Question 35

Use the following distribution for the next questions. A dentist claims that the
mean number of times a woman smiles per day is 62 with a standard deviation of
If the dentist's claims are true, what is the probability that a randomly selected woman would smile less than 58 times?

Question 36

Use the following distribution for the next questions. The mean maximum
aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a
standard deviation of 7 ml/min/kg.
Determine the minimum VO2MAX score for elite men ages 20 to 29 scoring in the top 10%.

Question 37

Use the following data for the next questions. The number of prescriptions
filled (in millions) through patient assistance programs during the last eight years
was:
Construct a normal quantile plot.

Question 38

Use the following population data for the next questions. At a bird-watching
center, the number of hooded orioles observed over Memorial Day Weekend was:
10 on Saturday, three on Sunday, and eight on Monday. Assume sample sizes of
two are randomly selected with replacement from this population.
Find the mean of the sampling distribution of hooded orioles.