**Test the Variances**Assume both populations are normally distributed and the population variances are equal.Null Hypothesis:\[ H_0: \sigma^2_1 \leq \sigma^2_2 \]Alternative Hypothesis (Claim):\[ H_A: \sigma^2_1 > \sigma^2_2 \]Sample variances and sizes:\[ s^2_1 = 7.9, \, s^2_2 = 4.1 \]\[ n_1 = 5, \, n_2 = 14 \]Significance level:\[ \alpha = 0.01 \]**Instructions:**Round all values to 3 decimal places.a. Calculate the Critical Value $ F_0 = \_\_\_\_\_\_ $b. Calculate the Test Statistic $ F = \_\_\_\_\_\_ $c. Conclusion:- Do not reject the null hypothesis and cannot support the claim- Reject the null hypothesis and support the claim**Note:** Make sure to use the appropriate statistical tables or tools to find the critical value and test statistic.

For first sample, n1 = 5, sample variance s12 = 7.9 For second sample, n2 = 14, sample variance s22…

Answered: a. The Critical Value Fo = b. The Test…

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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The critical region and critical value for a hypothesis test are shown below. The test statistic is Z = -1.7. Should you rejcet or fail to reject the null hypothesis. -2 -1.41 2 1 1.41 -3 3 Reject O Fail to Reject Submit Question
A test of the hypotheses, Ho: p s 0.24 and H1: p > 0.24 is a one-tailed test two-tailed test test of two sample means test of two sample proportions
Answer all
3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
All test of hypothesis are based on the assumptions that A. The null hypothesis is true B. The observed difference is important c. The null hypothesis is false and should be rejected D. Type l errors are more serious than type ll errors E. None of the above
For the next items, identity the appropriate statistical test that will be utilized in hypothesis testing. SE T- test T- test (one factor/sample) (Dependent) (Independent) T-test F- Test (Standard Error)
In a hypothesis test the p-value is calculated to be 0.56. Which of the following is the most reasonable decision? Reject the null hypothesis. Accept the null hypothesis. Reject the alternative hypothesis. Fail to reject the null hypothesis.
State whether the standardized test statistic z indicates that you should reject the null hypothesis. (a) z = 1.608 (b) z= -1.694 (c) z = - 1.749 (d) z= - 1.496 -zo -1.645 0 (a) For z=1.608, should you reject or fail to reject the null hypothesis? O A. Reject Ho because z> - 1.645. O B. Fail to reject Hn because z> -1.645. en O C. Reject Ho because z -1.645. O B. Fail to reject Ho because z -1.645. Click to select your answer. ple MacBook Air esc 2# $ & 3 5 7 8 Q W E R T Y A G K C alt option command B a> >
If a hypothesis test is performed and the null hypothesis is rejected in favor of the alternative hypothesis, does the test prove that the alternative hypothesis is correct? Choose the correct answer below. A.The test does not prove the alternative hypothesis correct, because only one test was done, and it takes at least hypothesis tests to prove a claim about a population parameter. B.The test does not prove the alternative hypothesis correct, because of the possibility of rejecting the null hypothesis when the null hypothesis is true. C.The test proves the alternative hypothesis correct, because once the null hypothesis is rejected, the only possibility that remains is for the alternative hypothesis to be true. D.The test proves the alternative hypothesis correct, because it shows that all the evidence suggests that the alternative hypothesis is true.
What type of error(s) occur(s) when we reject the null hypothesis when the null hypothesis is true? OA. Type 1 Error OB. Type II Error OC. Both Type I and Type II Errors OD. Neither Type I nor Type II Error

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a. The Critical Value Fo = b. The Test Statistic F C. Conclusion Do not reject the null hypothesis and can not support the claim Reject the null hypothesis and support the claim