Chapter 7.5, Problem 3LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

The SAT scores for the entering freshman class at a local college form a normal distribution with a mean of μ = 530 and a standard deviation of σ = 80.

**a.**For a random sample of*n*= 16 students, what range of values for the sample mean would be expected 95*%*of the time?**b.**What range of values would be expected 95% of the time if the sample size were*n*= 100?

**(a)**

To determine

**To Find:** The range of values for the sample mean would be expected 95% of the time.

Explanation

**Given info:**

The sample of

**Calculation:**

The formula for calculating the z-score is,

Where,

The standard error is,

The range of values for the sample mean would be expected 95% of the time is,

For

**(b)**

To determine

**To find:** The range of values for the sample mean would be expected 95% of the time.

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