11.25 According to a national Gallup poll, men visit the doctor’s office an average of 3.8 times per year, while women visit an average of 5.8 times per year. In a similar poll conducted in a Midwest county, a sample of 50 men visited the doctor an average of 2.2 times in the past year, with a standard deviation of 0.6 visits. For a sample of 40 women from the same county, the mean and standard deviation were 3.9 and 0.9, respectively. In a twotail test at the 0.05 level, test whether the observed difference between }x 1 and }x 2 is significantly different from the (3.8 2 5.8)5 22.0 visits per year that was found for the nation as a whole. Construct and interpret the 95% confidence interval for (1 2 2) for the county. Is the hypothesized difference (22.0) within the interval?

Given the presence or absence of the 22.0 value within the interval, is this consistent with the findings of the hypothesis test?