(4 pts) A random sample of 10 observations was drawn from a large normally distr

Question

(4 pts) A random sample of 10 observations was drawn from a large normally distributed population. The data is below.

15 21 15 13 18 21 17 13 21 15

Test to determine if we can infer at the 6% significance level that the population mean is not equal to 18, 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. Do Not Reject H0.
B. Do Not Reject H1.
C. Reject H1.
D. Reject H0.

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 18
HA : 18

Hypothesis test results:

Hence,

A) Test statistic = -1.0827

B) Rejection region: (-infty, -2.1202) U (2.1202, infty)

C) p - Value = 0.3071

D) Do not reject Ho

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