This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive anypoints for the skipped part, and you will not be able to come back to the skipped part.Tutorial ExerciseYou may need to use the appropriate technology to answer this question.A sample of 21 items from population 1 has a sample variance s₁² = 5.5 and a sample of 26 items from population 2has a sample variance s₂² = 2.25. Test the following hypotheses at the 0.05 level of significance.Ho:H₂:₁²(a) What is your conclusion using the p-value approach?(b) Repeat the test using the critical value approach.Step 1(a) What is your conclusion using the p-value approach?A hypothesis test comparing two population variances uses the F distribution. The F distribution is not symmetric and itsshape will depend on two values of degrees of freedom, a numerator and denominator degrees of freedom. It isimportant to note that the values will never be negative. The F test statistic is calculated as follows where s, ² is thevariance from sample 1, s₂² is the variance from sample 2, and s₁2> s₂². Since the F statistic is calculated using thelarger variance as the numerator, only upper tail areas will be used when finding the p-value.The size of sample 1 is denoted by n₁ and will have n₁ - 1 degrees of freedom. The size of sample 2 is denoted by n₂and will have n, - 1 degrees of freedom.It is given that a sample of 21 items from population 1 has a variance of s,2 = 5.5. A sample of 26 items frompopulation 2 has a variance of s₂² = 2.25. Use these values to find the F test statistic, rounding the result to twodecimal places.F =5.5✔2.252.44✔5.52.44Step 2The test statistic was found to be F= 2.44. Before the p-value can be found, the degrees of freedom for the numeratorand denominator must be found.The sample from population 1 contained 21 items, so n₁ 21degrees of freedom for the numerator is 0.017303 x.The sample from population 2 contained 26 items, so n₂ 26degrees of freedom for the denominator is 25✓and n₁ - 1 =and n₂ - 1 =2525X. Thus, the✓. Thus, the

Sample size of first sample n1 =21Sample variance s12=5.5Sample size of first sample n2 =26Sample…

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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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