   Chapter 9, Problem 21P 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

McGee and Shevlin (2009) demonstrated that an individual’s sense of humor had a significant effect on how the individual was perceived by others. In one part of the study, female college students were given brief descriptions of a potential romantic partner. The fictitious male was described positively and, for one group of participants, the description also said that he had a great sense of humor. Another group of female students read the same description except it now said that he has no sense of humor. After reading the description, each participant was asked to rate the attractiveness of the man on a seven-point scale from 1 (very unattractive) to 7 (very attractive) with a score of 4 indicating a neutral rating.a. A sample of n – 16 females who read the "great sense of humor" description Rave the potential partner an average attractiveness score of M = 4.53 with a standard deviation of s – 1.04. For this sample of n = 16 participants, is the average rating significantly higher than neutral (μ = 4)? Use a one-tailed test with α = .05.b. A sample of n = 16 females who read the description saying "no sense of humor" gave the potential partner an average attractiveness score of M = 3.30 with a standard deviation of s – 1.18. For this sample of n = 16 participants, is the average rating significantly lower than neutral (μ = 4)? Use a one-tailed test with α = .05.

a.

To determine

To Find: If the average rating saying “great sense of humour” is higher than the neutral using one-tailed test with α=0.05 .

Explanation

Given info:

A sample of 16 students using e-books are selected from a population with mean 4. The sample mean, and standard deviation (s) is found to be 4.53 and 1.04 respectively. One-tailed hypothesis test using α=0.05 is to be performed.

Calculations:

Step 1: Null Hypothesis is H0:μ4 and Alternate Hypothesis is H1:μ>4

Step 2: For a sample of n=16 , the t-statistics will have (n1) degrees of freedom, i.e. df=15 . For a one-tailed test with α=0.05 and df=15 , the critical value (CV)  is obtained from the t-table as t=1.753

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

t=Mμsm

Calculate sm using the formula:

sm=sn=1

b.

To determine

To Find: If the average rating saying “no sense of humour” is lower than the neutral using one-tailed test with α=0.05 .

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