Chapter 10, Problem 19P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Numerous studies have found that males report higher self-esteem than females, especially for adolescents (Kling, Hyde, Showers. &. Buswell, 1999). Typical results show a mean self-esteem score of *M* = 39.0 with *SS* = 60.2 for a sample of *n* = 10 male adolescents and a mean of *M* = 35.4 with *SS* = 69.4 for a sample of n = 10 female adolescents.

a. Do the results indicate that self-esteem is significantly higher for males? Use a one tailed lest with

b. Use the data to make a 95% confidence interval estimate of the mean difference in self-esteem between male and female adolescents.

c. Write a sentence demonstrating how the results from the hypothesis test and the confidence interval would appear in a research report.

**a.**

To determine

**To check:** Whether the self-esteem is significantly higher for males using one-tailed test with

Explanation

**Given info:**

Two sample each with size 10 has means 39 and 35.4 respectively. The sum of squared difference (SS) for two samples is 60.2 and 69.4 respectively.

**Calculations:**

Step 1: Null hypothesis is

Step 2: For the given sample, degrees of freedom is

For on tailed test with

Step 3: t-statistics is calculated using formula

Pooled variance,

**b.**

To determine

**To compute:** The 95% confidence interval for the given question.

**c.**

To determine

**To writhe:** The outcome of study as it appears in the final report.

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