A study was to be undertaken to determine if a particular training program would improve physical fitness.An SRS of 31 university 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 $\mu$ = 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 = 47.4 mL/kg/min with a standard deviation of s = 5.3 mL/kg/min.Suppose the 98% confidence interval were determined to be (45.2,49.6)an interval.If the level of confidence were changed to 95%,what would happen to the confidence interval and the P-value?
A)The confidence interval would become longer and the P-value would decrease.
B)The confidence interval would become shorter and the P-value would increase.
C)The confidence interval would not change and the P-value also would not change.
D)The confidence interval would become shorter and the P-value would decrease.
E)The confidence interval would become shorter but the P-value would not change.

Question

A study was to be undertaken to determine if a particular training program would improve physical fitness.An SRS of 31 university 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 $\mu$ = 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  = 47.4 mL/kg/min with a standard deviation of s = 5.3 mL/kg/min.Suppose the 98% confidence interval were determined to be (45.2,49.6)an interval.If the level of confidence were changed to 95%,what would happen to the confidence interval and the P-value?
A)The confidence interval would become longer and the P-value would decrease. 
B)The confidence interval would become shorter and the P-value would increase. 
C)The confidence interval would not change and the P-value also would not change. 
D)The confidence interval would become shorter and the P-value would decrease. 
E)The confidence interval would become shorter but the P-value would not change.

Quizplus · Accepted Answer

The Answer of A study was to be undertaken to determine if a particular training program would improve physical fitness.An SRS of 31 university 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 $\mu$ = 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  = 47.4 mL/kg/min with a standard deviation of s = 5.3 mL/kg/min.Suppose the 98% confidence interval were determined to be (45.2,49.6)an interval.If the level of confidence were changed to 95%,what would happen to the confidence interval and the P-value?
A)The confidence interval would become longer and the P-value would decrease. 
B)The confidence interval would become shorter and the P-value would increase. 
C)The confidence interval would not change and the P-value also would not change. 
D)The confidence interval would become shorter and the P-value would decrease. 
E)The confidence interval would become shorter but the P-value would not change.

A Study Was to Be Undertaken to Determine If a Particular