In a survey conducted by a department store, 8 randomly chosen married couples w

Question

In a survey conducted by a department store, 8 randomly chosen married couples were asked to give a satisfaction index (0-100) based on their latest visits. The results of the survey are displayed below: Assume that the satisfaction indices for husbands and wives are normally distributed. Consider next the data for wives only. Find a 90%. two-sided CI for the mean satisfaction index for wives in the population. Suppose it is claimed that the mean satisfaction index for wives in the population is different from 60. Test the claim using the rejection region approach at 5% significance level. Interpret the result of the test. Consider now another claim that the mean satisfaction index for wives in the population is greater than 51.43. Using one of the statistical table(s) we have used so far, provide your best guess as to what the p-value for this test is.

Explanation / Answer

Null hypothesis: The population mean of satisfaction index for husbands is at least 3 points higher.

Alternate hypothesis: The population mean of satisfaction index for husbands is lower than 3 points.

level of significance=0.05

critical values=The values that show changes between rejection and non-rejection regions or, where 3points are higher and where they are not.

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