The one-sample 1-statistic for a test of Ho: H Z 42 versus H1: µ < 42 based on n = 15 observations has the value 1--1.757, where Họ and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this 1-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form listed in the 1-table. P-value of the test <

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The one-sample *t*-statistic for a test of \( H_0: \mu \ge 42 \) versus \( H_1: \mu < 42 \) based on \( n = 15 \) observations has the value \( t = -1.757 \), where \( H_0 \) and \( H_1 \) are the null and alternative hypotheses, respectively. The sample size is denoted by \( n \).

Use this *t*-table to determine which two *P*-values bracket the *P*-value of the test. Report your answers in decimal form as listed in the *t*-table.

\[
\text{[ Box for smaller *P*-value ]} < \text{P-value of the test} < \text{[ Box for larger *P*-value ]}
\] 

**Explanation of Diagram:**

The diagram provides two empty boxes, separated by an inequality, where you are to fill in the *P*-value brackets from the *t*-table with more specific values determined by the *t*-statistic and degrees of freedom. There are no specific values within the boxes in the provided diagram.
Transcribed Image Text:The one-sample *t*-statistic for a test of \( H_0: \mu \ge 42 \) versus \( H_1: \mu < 42 \) based on \( n = 15 \) observations has the value \( t = -1.757 \), where \( H_0 \) and \( H_1 \) are the null and alternative hypotheses, respectively. The sample size is denoted by \( n \). Use this *t*-table to determine which two *P*-values bracket the *P*-value of the test. Report your answers in decimal form as listed in the *t*-table. \[ \text{[ Box for smaller *P*-value ]} < \text{P-value of the test} < \text{[ Box for larger *P*-value ]} \] **Explanation of Diagram:** The diagram provides two empty boxes, separated by an inequality, where you are to fill in the *P*-value brackets from the *t*-table with more specific values determined by the *t*-statistic and degrees of freedom. There are no specific values within the boxes in the provided diagram.
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