A random sample of 10 observations was drawn from a large normally distributed p

Question

A random sample of 10 observations was drawn from a large normally distributed population. The data is below. 15 17 13 14 18 12 20 21 22 13 Test to determine if we can infer at the 7% 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. Do Not Reject H0. B. Do Not Reject H1. C. Reject H0. D. Reject H1.

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 17
HA : 17

Hypothesis test results:

Hence,

A) Test statistic = -0.4357

B) Rejection region:

(-infty, -2.055) U (2.055, infty)

C) p - value = 0.6733

D) Do not reject Ho

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