### Hypothesis Testing: One-Sample t-Test#### Test OverviewYou wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \):- **Null Hypothesis (\( H_0 \))**: \( \mu = 64.2 \) - **Alternative Hypothesis (\( H_a \))**: \( \mu < 64.2 \)You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n = 12 \) with mean \( M = 45.9 \) and a standard deviation of \( SD = 17.1 \).#### Test Statistic CalculationWhat is the test statistic for this sample? (Report the answer accurate to three decimal places.)\[ \text{test statistic} = \_\_\_ \]#### p-Value CalculationWhat is the p-value for this sample? (Report the answer accurate to four decimal places.)\[ \text{p-value} = \_\_\_ \]#### Decision CriteriaThe p-value is...- \( \circ \) less than (or equal to) \( \alpha \)- \( \circ \) greater than \( \alpha \)This test statistic leads to a decision to...- \( \circ \) reject the null- \( \circ \) accept the null- \( \circ \) fail to reject the null#### ConclusionAs such, the final conclusion is that...- \( \circ \) There is sufficient evidence to warrant rejection of the claim that the population mean is less than 64.2.- \( \circ \) There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.2.- \( \circ \) The sample data support the claim that the population mean is less than 64.2.- \( \circ \) There is not sufficient sample evidence to support the claim that the population mean is less than 64.2.

Answered: Image /qna-images/answer/d5cdede4-8c38-4f2e-a015-7276d3c96cba.jpg

Answered: Ho:μ = 64.2 Ha:μ < 64.2 ou believe the…

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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