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Solved: You Explain It! Height of 10-Year-Old Males The

Chapter 7, Problem 34AYU

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QUESTION:

You Explain It! Height of 10-Year-Old Males The heights of 10-year-old males are normally distributed with mean \(\mu=55.9\) inches and \(\sigma=5.7\) inches.

(a) Draw a normal curve with the parameters labeled.

(b) Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall.

(c) Suppose the area under the normal curve to the left of x = 46.5 is 0.0496. Provide two interpretations of this result.

Text Transcription:

mu = 55.9

sigma = 5.7

Questions & Answers

QUESTION:

You Explain It! Height of 10-Year-Old Males The heights of 10-year-old males are normally distributed with mean \(\mu=55.9\) inches and \(\sigma=5.7\) inches.

(a) Draw a normal curve with the parameters labeled.

(b) Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall.

(c) Suppose the area under the normal curve to the left of x = 46.5 is 0.0496. Provide two interpretations of this result.

Text Transcription:

mu = 55.9

sigma = 5.7

ANSWER:

Answer:

Step 1

The heights of 10-year-old males are normally distributed with mean μ = 55.9 inches and σ = 5.7 inches.

(a) Draw a normal curve with the parameters labeled.

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