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) = 15.6The hypotheses are as follow: H0: µ = 72.5 Ha: µ ≠ 72.5 Level of significance (α) = 0.05 Since, the population standard deviation is unknown, therefore, the t distribution will be used. The value of the test statistic can be calculated as:The degree of freedom = n – 1 = 14 – 1 = 13 The p value of the test statistic at 13 degree of freedom from the t value table is 0.0459. Since, the p value is less than level of significance therefore, the null hypothesis would reject. There is sufficient evidence to support the claim that population mean is not equal to 72.5 The sample data supports the claim that the population mean is not equal to 72.5.

Math

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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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