A researcher claims that the mean systolic blood pressure fo…

A researcher claims that the mean systolic blood pressure for women is lower than the mean systolic blood pressure for men.  He selects random samples of 500 women and 500 men. For the sample of women, the mean is 121 mm Hg with a standard deviation of 32 mm Hg, and for the sample of men, the mean is 124 mm Hg with a standard deviation of 30 mm Hg. If a hypothesis test is conducted for the researcher’s claim at the 0.10 level of significance, what type of error could be made?

In a study of American men with prostate cancer, the size of…

In a study of American men with prostate cancer, the size of each patient’s primary tumor, in square centimeters, was recorded. A random sample of 36 participants in this study was found to have a mean primary tumor size of 17.5 square centimeters and a standard deviation of 15.7 square centimeters. Construct and interpret a 99% confidence interval for the mean primary tumor size of American men with prostate cancer.