A random sample of 10 observations was drawn from a large normally distributed population. The data is below.
22 12 21 21
22 19 21 12
22 22 22 12
21 21 22 19
21 12 22 22
Test to determine if we can infer at the 2% significance level that the population mean is not equal to 17, filling in the requested information below.
A. The value of the standardized test statistic:
Note:
For the next part, your answer should use interval notation. An answer of the 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 is
D. Your decision for the hypothesis test:
A.
Reject ?0H0.
B.
Do Not Reject ?1H1.
C.
Reject ?1H1.
D.
Do Not Reject ?0H0.