Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion. Test the claim that for the population of history exams, the mean score is 80. Sample data are summarized as n = 16, 7=84.5, and s= 11.2. Use a significance level of a = 0.01. Select the correct test statistic and critical value. O Test statistic: z = 1.607. Critical values: z = -2.947. Test statistic: t = -1.607. Critical values: t = -2.947. Test statistic: t = 1.607. Critical values: t = =2.947. Test statistic: t = 1.607. Critical values: t = 2.947.

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Assume that 

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.

Test the claim that for the population of history exams, the mean score is 80. Sample data are summarized as \( n = 16, \, \bar{x} = 84.5, \, \text{and} \, s = 11.2 \). Use a significance level of \( \alpha = 0.01 \). Select the correct test statistic and critical value.

- \( \circ \) Test statistic: \( z = 1.607 \). Critical values: \( z = -2.947 \).
- \( \circ \) Test statistic: \( t = -1.607 \). Critical values: \( t = -2.947 \).
- \( \circ \) Test statistic: \( t = 1.607 \). Critical values: \( t = \pm 2.947 \).
- \( \circ \) Test statistic: \( t = 1.607 \). Critical values: \( t = 2.947 \).
Transcribed Image Text:Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion. Test the claim that for the population of history exams, the mean score is 80. Sample data are summarized as \( n = 16, \, \bar{x} = 84.5, \, \text{and} \, s = 11.2 \). Use a significance level of \( \alpha = 0.01 \). Select the correct test statistic and critical value. - \( \circ \) Test statistic: \( z = 1.607 \). Critical values: \( z = -2.947 \). - \( \circ \) Test statistic: \( t = -1.607 \). Critical values: \( t = -2.947 \). - \( \circ \) Test statistic: \( t = 1.607 \). Critical values: \( t = \pm 2.947 \). - \( \circ \) Test statistic: \( t = 1.607 \). Critical values: \( t = 2.947 \).
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