Introduction to Normal Distributions

Question 1

The graph below shows two normal distributions.What is the difference of the means of the distributions?

Revolt · Accepted Answer

A: 15

Question 2

The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation . According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean?

Revolt · Accepted Answer

D: 99.7%

Question 3

The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. What is the z-score of an appliance that stopped working at 64 months?

Revolt · Accepted Answer

D: 2

Question 4

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation . According to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation of the mean?

Revolt · Accepted Answer

C: 68%

Question 5

The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean = 43.8 miles per gallon and standard deviation = 5.1 miles per gallon. What percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?

Revolt · Accepted Answer

A: 68%

Question 6

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000. What is the z-score of a company employee who makes an annual salary of $54,000?

Revolt · Accepted Answer

D: 5

Question 7

The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?

Revolt · Accepted Answer

B: 18 oz

Question 8

The class scores of a history test have a normal distribution with a mean = 79 and a standard deviation = 7. If Opal’s test score was 72, which expression would she write to find the z-score of her test score?

Revolt · Accepted Answer

A: z = StartFraction 72 minus 79 Over 7 EndFraction

Question 9

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.The mean of the temperatures in the chart is 24° with standard deviation of 4°. How many years had temperatures within one standard deviation of the mean?

Revolt · Accepted Answer

B: 25

Question 10

What is the mean of the normal distribution shown below?

Revolt · Accepted Answer

B: 0

Introduction to Normal Distributions Answers

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