1. A study was to be undertaken to determine if a particular training program would improve physical fitness. An SRS of 25 university students was selected to participate 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 = 45 ml/kg/min. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects. The measurements made on the subjects coming into this study produced a mean of x = 48.6 with a

standard deviation of s = 6.1.

a. Conduct an appropriate significance test to answer the researcher's question.

b. Are the results of the significance test statistically significant at the 1% level of significance? Explain.

c. Form a 95% confidence interval to estimate the population parameter of interest to the researchers.