A random sample of 12 second-year university students enrolledin a business statistics course was drawn. At the course'scompletion, each student was asked how many hours he or she spentdoing homework in statistics. The data are listed below. 28 18 1520 14 25 21 29 20 23 24 26 It is known that the population standarddeviation is 6. The instructor has recommended that students devote2 hours per week for the duration of the 12-week semester, for atotal of 24 hours.
Test to determine whether there is evidence at the 0.01significance level that the average student spent less than therecommended amount of time. Fill in the requested informationbelow.
A. The value of the standardized test statistic: Note: For thenext part, your answer should use interval notation. An answer ofthe form (−∞,a) is expressed (-infty, a), an answer of the form(b,∞) is expressed (b, infty), and an answer of the form(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
C. The p-value
D. Your decision for the hypothesis test
Reject H0
Do Not Reject H1
Reject H1
Do Not Reject H0.