1A random sample of 100 University of Alabama UA male studen

1)A random sample of 100 University of Alabama (UA) male students was selected. Each student was asked to do at least 20 push-ups. Only 32 students could complete the task. For an 88% confidence interval estimate of the proportion, what is the upper bound of the confidence interval?

Round your answer to four decimal places.

2)

The registrar at Fort Lewis College suspects that business school students are missing too much class. In order to test his claim, the Registrar takes a simple random sample of six students. For the six students, the number of days each was absent from their classes during the Fall 2014 semester was recorded. The data are listed below.   

3          7          2          1          0          2

What is the sample mean? _____

Solution

1)A random sample of 100 University of Alabama (UA) male students was selected. Each student was asked to do at least 20 push-ups. Only 32 students could complete the task. For an 88% confidence interval estimate of the proportion, what is the upper bound of the confidence interval?

upper bound of the confidence interval =0.3925

P =32/100

Z value for 88% = 1.5548

CI = p \\pm z* \\sqrt {(p*(1-p)/(n))}

CI = 0.32 \\pm 1.5548* \\sqrt{(0.32*(1-0.32)/(100))}

=( 0.2475, 0.3925)

88% confidence interval =( 0.2475, 0.3925)

2)

The registrar at Fort Lewis College suspects that business school students are missing too much class. In order to test his claim, the Registrar takes a simple random sample of six students. For the six students, the number of days each was absent from their classes during the Fall 2014 semester was recorded. The data are listed below.   

3          7          2          1          0          2

Mean = sum/n=15/6 =2.5

What is the sample mean?    2.5 days