You wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.05$.\[H_0: \mu = 72.5\]\[H_a: \mu \neq 72.5\]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $n = 14$ with mean $M = 81.7$ and a standard deviation of $SD = 15.6$.What is the test statistic for this sample? (Report answer accurate to three decimal places.)\[ \text{test statistic} = \boxed{\phantom{000}} \]What is the p-value for this sample? (Report answer accurate to four decimal places.)\[ \text{p-value} = \boxed{\phantom{0000}} \] **Hypothesis Testing Options**This section guides you through making a decision based on the test statistic:- [ ] Reject the null- [ ] Accept the null- [ ] Fail to reject the null**Final Conclusion Options**Based on the decision, choose the appropriate conclusion:- [ ] There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 72.5.- [ ] There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 72.5.- [ ] The sample data support the claim that the population mean is not equal to 72.5.- [ ] There is not sufficient sample evidence to support the claim that the population mean is not equal to 72.5.

Name: You wish to test the following claim ($H_a$) at a significance leve
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Description: You wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.05$.\[H_0: \mu = 72.5\]\[H_a: \mu \neq 72.5\]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample

Given, Sample size (n) = 14 Sample mean (M) = 81.7 Sample standard deviation (SD) = 15.6

Math

Statistics

You wish to test the following claim (H.) at a significance level of a = 0.05. H.: µ = 72.5 Ha:H # 72.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n 14 with mean M = 81.7 and a %3D standard deviation of SD = 15.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

You wish to test the following claim (H.) at a significance level of a = 0.05. H.: µ = 72.5 Ha:H # 72.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n 14 with mean M = 81.7 and a %3D standard deviation of SD = 15.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

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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