Before beginning a study investigating the ability of the drug heparin to prevent bronchoconstriction, baseline values of pulmonary function were measured for a sample of 15 individuals with a history of exercise-induced asthma. The mean value of forced vital capacity (FVC) for the sample 4.25 liters and the standard deviation is s = 0.8 liters. Previously, it was assumed that the true mean FVC was 3.75 liters. C. Test the hypothesis that the true mean FVC is greater than the previously assumed value of 3.75 liters at the 0.01 significance level. What is the p-value of the test?  a. 0.0148 b. 0.0297 c. 0.0077 d. 0.0155   D. Test the hypothesis that the true mean FVC is greater than the previously assumed value of 3.75 liters at the 0.01 significance level. Based on your p-value, what is your conclusion.    E. Using your sample standard deviation as an estimate of the population standard deviation, how much power do you have to reject the null value of 3.75 liters if the true mean is actually 4.5 liters with a sample size of 15 individuals (at the 0.01 significance level)? a. 85% b. 5% c. 100% d. 78%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Before beginning a study investigating the ability of the drug heparin to prevent bronchoconstriction, baseline values of pulmonary function were measured for a sample of 15 individuals with a history of exercise-induced asthma. The mean value of forced vital capacity (FVC) for the sample 4.25 liters and the standard deviation is s = 0.8 liters. Previously, it was assumed that the true mean FVC was 3.75 liters.

C. Test the hypothesis that the true mean FVC is greater than the previously assumed value of 3.75 liters at the 0.01 significance level. What is the p-value of the test? 
a. 0.0148
b. 0.0297
c. 0.0077
d. 0.0155
 
D. Test the hypothesis that the true mean FVC is greater than the previously assumed value of 3.75 liters at the 0.01 significance level. Based on your p-value, what is your conclusion. 

 
E. Using your sample standard deviation as an estimate of the population standard deviation, how much power do you have to reject the null value of 3.75 liters if the true mean is actually 4.5 liters with a sample size of 15 individuals (at the 0.01 significance level)?
a. 85%
b. 5%
c. 100%
d. 78%
 
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