**Hypothesis Testing Tutorial**You wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.005$.- $H_0: \mu = 55.9$- $H_a: \mu \neq 55.9$You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $n = 686$ with a mean of $M = 54.9$ and a standard deviation of $SD = 8.3$.**Question 1: Critical Value for the Test**What is the critical value for this test? (Report answer accurate to three decimal places.)- Critical value = ± [input box]**Question 2: Test Statistic for the Sample**What is the test statistic for this sample? (Report answer accurate to three decimal places.)- Test statistic = [input box]**Determine the Test Statistic's Significance**The test statistic is...- [ ] In the critical region- [ ] Not in the critical region**Decision on Hypotheses**This test statistic leads to a decision to...- [ ] Reject the null- [ ] Accept the null- [ ] Fail to reject the null**Final Conclusion**As such, the final conclusion is that...- [ ] There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.9.- [ ] There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.9.- [ ] The sample data support the claim that the population mean is not equal to 55.9.- [ ] There is not sufficient sample evidence to support the claim that the population mean is not equal to 55.9.*Please calculate and fill in the appropriate values to complete this hypothesis testing practice.*

Hypothesiszed population mean μ0= 55.9Sample mean M= 54.9Sample standard deviation s =8.3Sample…

Answered: You wish to test the following claim…

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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You wish to test the following claim (H.) at a significance level of a = = 0.02. H.: 41 Ha: µ1 – µ2 > 0 You obtain a sample of size ị the first population. You obtain a sample of size n2 of s2 57.2 and a standard deviation of s1 85 with a mean of 2 65 with a mean of x1 17.2 from 54.7 and a standard deviation 7.1 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value =
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