Applications with Standard Normal Distribution

Question 1

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

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

Question 2

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

68%

Question 3

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

5

Question 4

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

Revolt · Accepted Answer

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

Question 5

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

2

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

16%

Question 7

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

68%

Applications with Standard Normal Distribution Answers

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