Question

Does vigorous exercise affect concentration? In general, the time needed for people to complete a certain paper-and-pencil maze follows a normal distribution, with a mean of 30 seconds and a standard deviation of three seconds. You wish to see if the mean time μ is changed by vigorous exercise, so you have a random sample of nine employees of your company (that you assume are representative of people in general) exercise vigorously for 30 minutes and then complete the maze. It takes them an average of = 31.2 seconds to complete the maze. Use this information to test the hypotheses H0: μ = 30, Ha: μ ≠ 30 at the 1% significance level. You conclude:

Answer 1

as test statistic does not fall in rejection region ; we can not reject null hypothesis

we do not have evidence to conclude that mean amount to complete the maze is different from 30.