Sam, a 40-year old guy, has a systolic blood pressure measured as 140 mmHg during his last visit to the doctor, and he is very concerned about it, even though his doctor tries to assure him that it is in the normal range. He designed a survey and sent it to 35 of his colleagues with similar age, and 15 of them responded with their blood pressure values. The summary statistic of the 15 colleagues' blood pressure is listed in the table below:

Mean

STD

Minimum

Maximum

132

10.9

115

151

(1) (6pts) Please help Sam to find out if his blood pressure is too high compared to all his colleagues about the similar age.(No points will be given without proper steps).

(2) (2pts) Based on your decision in (1), what type of error could you commit?

Which of the following best describes the type of error you chose?

A. Sam's blood pressure is actually not too high, but we concluded it is.

B. Sam's blood pressure is actually too high, but we concluded it is not.