Question

A researcher believes that college students spend less time participating in extra-curricular activites than they did ten years ago. An SRS of 100 college students found that in the past year the average number of hours spent per semester in extracurricular activities was x = 107 hours, with standard deviation s = 45 hours. Assume the distribution of the number of hours spent by college students per semester participating in extracurricular activities is approximately normal, with mean μ. Are these data evidence that μ has lowered from the value of 120 hours of ten years ago? To determine this

Answer 1

To determine this, we test the hypotheses
H0: μ = 120, Ha: μ < 120.
Suppose the mean and standard deviation obtained were based on a sample of 25 students rather than 100. The P-value would be
A. larger.
B. smaller.
C. unchanged because the difference between x and the hypothesized value μ = 120 is unchanged.
D. unchanged because the variability measured by the standard deviation stays the same.