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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtains a sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old These participants were given a standardized well being questionnaire for which the general population has an average score of μ = 40. The well-being scores for this sample are as follows: 38, 37,41, 35,42, 40, 33, 33, 36, 38, 32, 39.

a. On the basis of this sample, is well-being for frequent movers significantly different from well­being in the general population? Use a two-tailed test with α = .05.

b. Compute the estimated Cohen’s d to measure the size of the difference.

c. Write a sentence showing how the outcome of the hypothesis test and the measure of effect size would appear in a research report.

a.

To determine

To Find: If well-being for a frequent mover significantly different than that of general population using two-tailed test with α=0.05

Explanation

The sample of 12 individual is selected from a population with mean 40. Two-tailed hypothesis test using α=0.05 is to be performed.

Calculations:

Step 1: Null Hypothesis is H0:μ=40 and Alternate Hypothesis is H1:μ40

Step 2: For a sample of n=12, the t-statistics will have (n1) degrees of freedom, i.e. df=11.For a two-tailed test with α=0.05 and df=11, the critical value (CV)  is obtained from the t-table as t=±2.201

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

t=Mμsm

Software procedure:

Step-by-step procedure to obtain the sample mean and standard error, sm using the SPSS software:

  • Go to Variable View> Enter the name of the variable as Sample.
  • Go to Data View>Enter the values of Samples.
  • Choose Analyze > Descriptive Statistics> choose Descriptive.
  • Select Sample and move it under variable(s)> Choose Options> Select Mean and S.E.mean
  • Choose Continue> choose OK.

Output using the SPSS software is given below:

b.

To determine

To Find: The Cohen’s d for the given question.

c.

To determine

To State: How would the outcome of hypothesis test and measure of effect size will appear in the research report.

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