Question

In a study of maximal aerobic capacity, 14 women had their blood plasma volume measured. The following data is their blood plasma volumes measured in liters. 

3.59	2.66	2.81	3.12	2.65	3.85	3.05
2.98	3.87	3.28	2.95	3.51	3.12	3.22

Assume that women's blood plasma volume is a normally distributed random variable. 

 a. Calculate a point estimate of the population mean μ of women's blood plasma volume. 

 b. Calculate the sample standard deviation (you can use 1-var stats on your calculator) of the women's blood plasma volume. 

 c. we want to find a 95% confidence interval, what is the critical value tu/2? Please show your work.

 d. Construct a 95% confidence interval for the mean women's blood plasma volume by using the formula. Indicate clearly what is the value of the point estimate and the margin of error. Show your work. 

 e. Interpret the confidence interval that you constructed.

Answer 1

we know that the sample mean is a unbiased estimate of population mean. hence here the sample mean is the point estimate .

to calculate the point estimate and t critical value and summary statistics we use the excel , the excel path is as follows :

menu---> excel---->enter the data in excel---->data ---> data analysis----->descriptive statistics---->ok ------->input range ( select the all the value )----->output range (select one blank box in excel )------> click on summary statistics ----->ok . the excel output is as follows :