A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course’s competition, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. It is known that the population standard deviation is σ = 8.0. The instructor has recommended that students devote 3 hours per week for the duration of the 12 week semester, for a total of 36 hours. Test to determine whether there is evidence that the average student spent less than the recommended amount of time. 31, 40, 26, 30, 36, 38, 29, 40, 38, 30, 35, 38 a. State your hypothesis. b. Do you reject the null hypothesis based on the un-standardized test? c. Draw a Z distribution curve and calculate your Z statistic value. What is your conclusion? d. Compute the p-value of the test and interpret your result.
A random sample of 12 second-year university students enrolled in a business statistics course
was drawn. At the course’s competition, each student was asked how many hours he or she spent
doing homework in statistics. The data are listed below. It is known that the population standard
deviation is σ = 8.0. The instructor has recommended that students devote 3 hours per week for
the duration of the 12 week semester, for a total of 36 hours. Test to determine whether there is
evidence that the average student spent less than the recommended amount of time.
31, 40, 26, 30, 36, 38,
29, 40, 38, 30, 35, 38
a. State your hypothesis.
b. Do you reject the null hypothesis based on the un-standardized test?
c. Draw a Z distribution curve and calculate your Z statistic value. What is your conclusion?
d. Compute the p-value of the test and interpret your result.
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