Chapter 9, Problem 9P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

To evaluate the effect of a treatment, a sample is obtained from a population with a mean of
*M* = 31.3 with a standard deviation of s = 3.

a. If the sample consists of *n* = 16 individuals, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with

b. If the sample consists of *n =* 36 individuals, are the data sufficient to conclude that the treatment has a significant cited using a two-tailed test with

c. Comparing your answer for parts a and b, how does the size of the sample influence the outcome of a hypothesis test?

**a.**

To determine

**To find:** Whether or not to conclude that the treatment has a significant effect for the given question using two-tailed test with

Explanation

**Given info:**

A sample of 16 individual is selected from a population with mean 30. The samples mean, standard deviation is found to be 31.3 and 3 respectively. Two-tailed hypothesis test using

**Calculations:**

Step 1: Null Hypothesis is

Step 2: For a sample of

Step 3: t-statistics can be calculated using formula:

Calculate

**b.**

To determine

**To Find:** Whether or not to conclude that the treatment has a significant effect for the given question using two-tailed test with

**c.**

To determine

**To State:** The impact of sample size on the outcome of a hypothesis test.

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