Confidence Interval In a study of maximal aerobic capacity, 14 women had their b

Question

Confidence Interval 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. Assume that women's blood plasma volume is a normally distributed random variable. You can use 1-Var stats on your calculator to do parts of this problem. Calculate a point estimate of the population mean mu of women's blood plasma volume. Calculate the sample standard deviation of the women's blood plasma volume. What is the correct formula to find the upper and lower bounds of the confidence interval? Label the formula(s) to clearly indicate which part is the point estimate and which part is the margin of error. [You just need to write down the formula, you don't have to really do any work for this part] We want to find a 95% confidence interval. What is the critical value t_ alpha/2? Please show your work. Construct a 95% confidence interval for the mean women's blood plasma volume by using the formula. Show your work. Interpret the confidence interval that you constructed.

Explanation / Answer

a) point estimate xbar= 3.1864

b)sample std deviaiton =0.39

c)lower confidence interval =point estimate - margin of error =point estimate -t*std error

upper confidence interval =point estimate + margin of error =point estimate +t*std error

d)

value of t =2.1604

e) from above confidence interval =point estimate -/+t*std error =2.9612 ; 3.4116

f) above interval gives 95% confidence to contain true population mean blood pressure of women of maximal aerobic capacity.

X 3.59 2.75 2.81 3.12 2.61 3.85 3.05 2.96 3.87 3.18 2.96 3.52 3.12 3.22 mean(X) 3.1864 std deviation(S) 0.3900 std error =S/(n)1/2 0.1042

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