The distribution of heights of young women aged 18 to 24 is approximately Normal

Question

The distribution of heights of young women aged 18 to 24 is approximately Normal with mean =62.6

inches and standard deviation =2.4

inches. A random sample of 90 female undergraduate students at the University of California at Irvine produced a sample mean height of 62.7 inches.

Assume that the standard deviation of young women heights is the same at UC-Irvine as in the rest of the country.

Following the four-step process, give a 90% confidence interval (±

0.1) for the mean height of all female undergraduate students at UC-Irvine.

The 90% confident that the mean height of all female undergraduate students at UCI is between

and inches.

NOTE: The numerical values in this problem have been modified for testing purposes.

The distribution of heights of young women aged 18 to 24 is approximately Normal with mean =62.6

Explanation / Answer

The statistical software output for this problem is:

One sample Z confidence interval:
: Mean of population
Standard deviation = 2.4

90% confidence interval results:

Hence,

90% confidence interval will be:

(62.3, 63.1)

Mean n Sample Mean Std. Err. L. Limit U. Limit 90 62.7 0.25298221 62.283881 63.116119

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