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In: Statistics and Probability

Two-Sample Z-test Q1. A researcher is interested in comparing the happiness scores of married and single...

Two-Sample Z-test

Q1.

A researcher is interested in comparing the happiness scores of married and single men. The

data is below:

Married Men: average happiness rating = 8.7; standard deviation = 1.4; n =100

Single Men: average happiness rating = 7.9; standard deviation = 1.2; n =80

Test whether the difference between the means of the two groups is significant at an alpha

(significance level) of .10.

(a) What are the null and alternate hypotheses?

(b) Draw the picture of the distribution of the test statistic (under H0). Include critical value(s)

and region(s) of rejection.

(c) What is the calculated (computed) value of the test statistic?

(d) What is your conclusion?

(e) Construct a 95% CIE for the difference between the happiness scores of married men and

single men

Solutions

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