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Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5 % significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test Ho = 4vs Hau 4 using the sample results=4.8, s = 2.3, with n = 15. (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for t test statistic = 1 p-value= i value to three decimal places.

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5 % significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test Ho = 4vs Hau 4 using the sample results=4.8, s = 2.3, with n = 15. (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for t test statistic = 1 p-value= i value to three 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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Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test \( H_0 : \mu = 4 \) vs \( H_a : \mu \neq 4 \) using the sample results \( \bar{x} = 4.8, s = 2.3, \text{with } n = 15 \). (a) Give the test statistic and the \( p \)-value. Round your answer for the test statistic to two decimal places and your answer for the \( p \)-value to three decimal places. - test statistic = [ ] - \( p \)-value = [ ]
Transcribed Image Text:Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test \( H_0 : \mu = 4 \) vs \( H_a : \mu \neq 4 \) using the sample results \( \bar{x} = 4.8, s = 2.3, \text{with } n = 15 \). (a) Give the test statistic and the \( p \)-value. Round your answer for the test statistic to two decimal places and your answer for the \( p \)-value to three decimal places. - test statistic = [ ] - \( p \)-value = [ ]
### Conclusion Analysis **(b) What is the conclusion?** - ○ Reject \( H_0. \) - ○ Do not reject \( H_0. \) In hypothesis testing, the conclusion involves deciding whether to reject or not reject the null hypothesis (\( H_0 \)). This step is based on the analysis of data and the statistical test results. Determining whether to reject \( H_0 \) often depends on the p-value and the chosen significance level (e.g., 0.05). - **Reject \( H_0 \):** This suggests that there is sufficient evidence to conclude that the null hypothesis is unlikely to be true, thus supporting the alternative hypothesis. - **Do not reject \( H_0 \):** This indicates that there is not enough evidence to conclude that the null hypothesis is false. It does not prove that \( H_0 \) is true, but rather that the evidence is insufficient to support the alternative hypothesis.
Transcribed Image Text:### Conclusion Analysis **(b) What is the conclusion?** - ○ Reject \( H_0. \) - ○ Do not reject \( H_0. \) In hypothesis testing, the conclusion involves deciding whether to reject or not reject the null hypothesis (\( H_0 \)). This step is based on the analysis of data and the statistical test results. Determining whether to reject \( H_0 \) often depends on the p-value and the chosen significance level (e.g., 0.05). - **Reject \( H_0 \):** This suggests that there is sufficient evidence to conclude that the null hypothesis is unlikely to be true, thus supporting the alternative hypothesis. - **Do not reject \( H_0 \):** This indicates that there is not enough evidence to conclude that the null hypothesis is false. It does not prove that \( H_0 \) is true, but rather that the evidence is insufficient to support the alternative hypothesis.
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