Question 1 [4 points]
Southwest Consulting is a well established company with thousands of employees and they want to estimate the average age of their workers. A sample of 49 employees was taken. Assuming the population has a standard deviation of 5.7, we want to find a 99% confidence interval for the population mean.
If the mean of the sample is 29.6, what is the confidence interval estimate?
For full marks your answer should be accurate to at least two decimal places.
Confidence Interval: ( 0 , 0 )
Question 2 [10 points]
A doctor at a walk-in clinic is studying high blood pressure among patients of the ages twenty to forty. According to the American Heart Association, a person has high blood pressure if their Systolic and Diastolic readings are above 139 and 89 respectively. A random sample of 10 patients revealed the following blood pressures, where the readings (x,y) correspond to (Systolic,Diastolic) blood pressures.
(120,84) (159,90) (129,84) (130,89) (180,110) (130,85) (180,120) (180,110) (190,110) (190,110)
Assume that the population distribution is normal.
For full marks your answer should be accurate to at least two decimal places.