Compute z-tests and find the one-tailed p-value for each of the following situations. Then write up the results of the analysis in a single sentence. Use ≤ 05 as your definition of statistical significance.
a. The mean BMI for U.S. men is 26.8, with a standard deviation of 4.6. You have data from a sample of 25 men with type II diabetes who are attending a diabetes health promotion program. The mean BMI of the sample is 31.3.
b. The mean age for U.S. citizens is 45.2 years, with a standard deviation of 17.5 years. The 36 men in the sample have a mean age of 47 years.
c. The average adult in the United States travels 40 miles each day (mostly by car), with a standard deviation of 8.2 miles. You have data from a group of 49 urban women who travel 38.2 miles each day.