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These same researchers want to test their hypothesis again. This time they randomly select 54 people,...

These same researchers want to test their hypothesis again. This time they randomly select 54 people, show them the film, and give them an attitude questionnaire. The mean score on the attitude test for these 54 people is 72. The score for people in general on this test is 75, with a standard deviation of 12. Using the steps of hypothesis testing and the 5% significance level, carry out a Z test to see if viewing the film changes people’s attitudes toward alcohol with this new sample. 1.Is this a one-tailed or two-tailed test? 2. What is the variance of the distribution of means? 3.What is the standard deviation of the distribution of means? 4.What is/are the cutoff sample score(s)? 5.What is the sample’s Z score? 6.Decide whether to reject the null hypothesis

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Answer #1

(1)

This is a two-tailed test.

(2)

the variance of the distribution of means is given by:

(3)

the standard deviation of the distribution of means is given by:

(4)

the cutoff sample score(s) :

1.96

(5)

the sample’s Z score is given by:

(6)

Since calculated value of Z = - 1.8371 is greater than critical value of Z = - 1.96, the difference is not significant. Fail to reject null hypothesis.

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