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Ho: μ = 100 H₂: H 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use (a) x = 104 and s = 11.4 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ = 100. O Do not reject Ho. There is insufficient evidence to conclude that μ # 100. H O Reject Ho. There is sufficient evidence to conclude that μ = 100. O Reject Ho. There is insufficient evidence to conclude that μ = 100. (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 100. O Do not reject Ho. There is insufficient evidence to conclude that μ = 100. O Reject Ho. There is sufficient evidence to conclude that μ ‡ 100. O Reject Ho. There is insufficient evidence to conclude that μ ‡ 100. (c) x = 102 and s = 10.4 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.)

Ho: μ = 100 H₂: H 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use (a) x = 104 and s = 11.4 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ = 100. O Do not reject Ho. There is insufficient evidence to conclude that μ # 100. H O Reject Ho. There is sufficient evidence to conclude that μ = 100. O Reject Ho. There is insufficient evidence to conclude that μ = 100. (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 100. O Do not reject Ho. There is insufficient evidence to conclude that μ = 100. O Reject Ho. There is sufficient evidence to conclude that μ ‡ 100. O Reject Ho. There is insufficient evidence to conclude that μ ‡ 100. (c) x = 102 and s = 10.4 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Hypothesis Testing for Tailored Samples** Given Hypotheses: \( H_0: \mu = 100 \) \( H_a: \mu \neq 100 \) A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use \(\alpha = 0.05\). ### (a) \(\bar{x} = 104\) and \(s = 11.4\) **Find the value of the test statistic.** (Round your answer to three decimal places.) *Test Statistic:* \(\boxed{\textit{__}} \) **Find the p-value.** (Round your answer to four decimal places.) *p-value:* \(\boxed{\textit{__}} \) **State your conclusion.** - \( \circ \) Do not reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Do not reject \(H_0\). There is insufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is insufficient evidence to conclude that \(\mu \neq 100\). ### (b) \(\bar{x} = 96.5\) and \(s = 11.0\) **Find the value of the test statistic.** (Round your answer to three decimal places.) *Test Statistic:* \(\boxed{\textit{__}} \) **Find the p-value.** (Round your answer to four decimal places.) *p-value:* \(\boxed{\textit{__}} \) **State your conclusion.** - \( \circ \) Do not reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Do not reject \(H_0\). There is insufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is insufficient evidence to conclude that \(\
Transcribed Image Text:**Hypothesis Testing for Tailored Samples** Given Hypotheses: \( H_0: \mu = 100 \) \( H_a: \mu \neq 100 \) A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use \(\alpha = 0.05\). ### (a) \(\bar{x} = 104\) and \(s = 11.4\) **Find the value of the test statistic.** (Round your answer to three decimal places.) *Test Statistic:* \(\boxed{\textit{__}} \) **Find the p-value.** (Round your answer to four decimal places.) *p-value:* \(\boxed{\textit{__}} \) **State your conclusion.** - \( \circ \) Do not reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Do not reject \(H_0\). There is insufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is insufficient evidence to conclude that \(\mu \neq 100\). ### (b) \(\bar{x} = 96.5\) and \(s = 11.0\) **Find the value of the test statistic.** (Round your answer to three decimal places.) *Test Statistic:* \(\boxed{\textit{__}} \) **Find the p-value.** (Round your answer to four decimal places.) *p-value:* \(\boxed{\textit{__}} \) **State your conclusion.** - \( \circ \) Do not reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Do not reject \(H_0\). There is insufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is sufficient evidence to conclude that \(\mu \neq 100\). - \( \circ \) Reject \(H_0\). There is insufficient evidence to conclude that \(\
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