   Chapter 10, Problem 19P Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

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 α = 01b. 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 α=0.01

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 H0:μ1μ20, alternate hypothesis is H1:μ1μ2>0.

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

df=n1+n22=10+102=18

For on tailed test with α=0.01 and df=18, the critical value (CV) is obtained from t-table as t=2.552

Step 3: t-statistics is calculated using formula

t=M1M2(μ1μ2)sM1M2

Pooled variance, sp2:

sp2=SS1+SS2df+df2=60

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.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find the general indefinite integral. (sinx+sinhx)dx

Single Variable Calculus: Early Transcendentals, Volume I

The scalar projection of on is:

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: If f′(x) = g′(x), then f(x) = g(x).

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 