a study was to be undertaken to determine if a particular training program would improve physical fitness. an srs of 31 universi
ty students was selected to be enrolled in the fitness program. one important measure of fitness is maximum oxygen uptake. measurements of oxygen uptake in untrained individuals are known to follow a normal distribution with a mean of begin mathsize 16px style mu end style
A study was to be undertaken to determine if a particular training program would improve physical fitness. A sample of 31 university students was selected to be enrolled in the fitness program. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects. The sample mean is 47.4 and a standard deviation of 5.3. The 98% confidence interval is determined and is given as, (45.2, 49.6) .
If the level of confidence is changed to 95%, then the confidence interval will become shorter but the p-value will not change because it is calculated using the test statistic. So the correct answer is (a).