Two-sided test The one-sample t statistic from a sample of n = 25 observations for the

Chapter 9, Problem 72

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QUESTION:

The one-sample t statistic from a sample of n = 25 observations for the two-sided test of

\(\begin{array}{l} H_{0}: \mu=64 \\ H_{a}: \mu \neq 64 \end{array}\)

has the value t = -1.12.

(a) Find the P-value for this test using Table B or technology. What conclusion would you draw at the 5% significance level? At the 1% significance level?

(b) Redo part (a) using an alternative hypothesis of \(H_{a}: \mu<64\).

Questions & Answers

QUESTION:

The one-sample t statistic from a sample of n = 25 observations for the two-sided test of

\(\begin{array}{l} H_{0}: \mu=64 \\ H_{a}: \mu \neq 64 \end{array}\)

has the value t = -1.12.

(a) Find the P-value for this test using Table B or technology. What conclusion would you draw at the 5% significance level? At the 1% significance level?

(b) Redo part (a) using an alternative hypothesis of \(H_{a}: \mu<64\).

ANSWER:

Step 1 of 3

Given hypothesis:

Null hypothesis: \(H_{o}: \mu=64\)

Alternative hypothesis: \(H_{a}: \mu \neq 64\)

Number of samples: n = 25

T - value =-1.12

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