Introduction to Normal Distributions

Question 1

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 a standard deviation of 4°. Which temperature is within one standard deviation of the mean?

Revolt · Accepted Answer

C: 22°

Question 2

The heights of a certain type of tree are approximately normally distributed with a mean height = 5 ft and a standard deviation = 0.4 ft. Which statement must be true?

Revolt · Accepted Answer

D: A tree with a height of 6.2 ft is 3 standard deviations above the mean.

Question 3

The graph below shows three different normal distributions.Which statement must be true?

Revolt · Accepted Answer

D: Each distribution has the same mean and a different standard deviation.

Question 4

The lengths of a lawn mower part are approximately normally distributed with a given mean = 4 in. and standard deviation = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.?

Revolt · Accepted Answer

B: 68%

Question 5

What is the mean of the normal distribution shown below?

Revolt · Accepted Answer

B: 0

Question 6

The amount of daily time that teenagers spend on a brand A cell phone is normally distributed with a given mean = 2.5 hr and standard deviation = 0.6 hr. What percentage of the teenagers spend more than 3.1 hr?

Revolt · Accepted Answer

C: 16%

Question 7

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

Revolt · Accepted Answer

A: 15

Question 8

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 9

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 10

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

Introduction to Normal Distributions Answers

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