Complete each problem to the best of your ability. Be sure to show any formulas you used, even if you used your calculator to do the final computations.
1. A study examined the effects of an intervention program to improve the conditions of urban bus drivers. Among other variables, the researchers monitored diastolic blood pressure of bus drivers in a large city. The data, in millimeters of mercury (mm Hg), are based on the blood pressures obtained prior to intervention for the 53 bus drivers in the study.
At the 10% significance level, do the data provide sufficient evidence to conclude that the mean diastolic blood pressure of bus drivers in the city exceeds the normal diastolic blood pressure of 80 mm Hg? The mean of the data is (xabr)= 80.57966 mm Hg, and the standard deviation of the data is s = 9.78621 mm Hg.
a. Set up the hypotheses for the one-mean test H0: __________________________ Ha: 2: _______
b. Compute the test statistic. Round to two decimal places.
c. Determine the p-value.
d. Determine if the null hypothesis should be rejected.
e. Interpret your result in the context of the problem in a sentence.