Chapter 7.5, Problem 4LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A sample of *n* = 16 individuals is selected from a normal population with a mean of μ = 50 with σ *=* 12. After a treatment is administered to the sample, the sample mean is found to be *M* = 57. Is this sample mean likely to occur if the treatment has no effect? Specifically, is the sample mean within the range of values that would be expected 95*%* of the time?

To determine

**To find:** The range of values for the sample mean would be expected 95% of the time and the sample mean is likely to occur if the treatment has no effect.

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

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