Question

A random sample of 38 college males was obtained and each was asked to report their actual height and what they wished as their ideal height. A 95% confidence interval for μd = population mean difference between their ideal and actual heights was -0.6" to 1.8". Based on this interval, which one of the null hypotheses below (versus a two-sided alternative) can be rejected?

1. H0:μd=1.5

2. H0:μd=0.5

3. H0:μd=2.0

4. H0:μd=1.0

Answer 1

The given confidence interval is (-0.6, 1.8).

Since confidence interval contains 1.5 so we fail to reject the null hypothesis H0:μd=1.5 on the basis of confidence interval.

Since confidence interval contains 0.5 so we fail to reject the null hypothesis H0:μd=0.5 on the basis of confidence interval.

Since confidence interval does not contain 2.0 so we reject the null hypothesis H0:μd=2.0 on the basis of confidence interval.

Since confidence interval contains 1.0 so we fail to reject the null hypothesis H0:μd=1.0 on the basis of confidence interval.