he height of women ages 20-29 is normally distributed, with a mean of 63.6 inches. Assume o = 2.5 inches. Are you more vith a height less than 64.1 inches or are you more likely to select a sample of 20 women with a mean height less than 64.1 in Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 64.1 inches?

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The height of women ages 20-29 is normally distributed, with a mean of 63.6 inches. Assume o = 2.5 inches. Are you more lrely to randomly select 1 woman
with a height less than 64.1 inches or are you more likely to select a sample of 20 women with a mean height less than 64.1 inches? Explain.
E Click the icon to view page 1 of the standard normal table.
E Click the icon to view page 2 of the standard normal table.
What is the probability of randomly selecting 1 woman with a height less than 64.1 inches?
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
Check Answer
Clear All
parts
2 Femaining
Transcribed Image Text:The height of women ages 20-29 is normally distributed, with a mean of 63.6 inches. Assume o = 2.5 inches. Are you more lrely to randomly select 1 woman with a height less than 64.1 inches or are you more likely to select a sample of 20 women with a mean height less than 64.1 inches? Explain. E Click the icon to view page 1 of the standard normal table. E Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 64.1 inches? (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All parts 2 Femaining
Expert Solution
Step 1

Given:

The corresponding z-value needed to be computed:

Probability homework question answer, step 1, image 1

The probability of randomly selecting 1 woman with a height less than 64.1 inches is:

Probability homework question answer, step 1, image 2

By using the standard normal table,

Probability homework question answer, step 1, image 3

Hence, the probability of randomly selecting 1 woman with a height less than 64.1 inches is 0.5793.

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