4. In addition to the data for county A in question 3 (above), another county in Kentucky (county B) did a study of pumpkin weights. Let Y be the weight (in pounds) of pumpkins grown in a county B. Assume that Y is N(μB, 02). Here are the data from the sampled pumpkins from country B. 5.03 7.67 5.95 6.44 7.71 8.02 8.27 4.21 Conduct the following hypothesis test (an F test) (using a=.05) Ho: 0 = 0 versus H₁ : 0² 03 A) Identify the critical region. B) Calculate the test statistic. C) What is your conclusion for the hypothesis test? Justify your answer.

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Please help me solve question 4 part A,B C. I have attached question 3 for refrence.
3. Let X be the weight (in pounds) of pumpkins grown in a certain county (county A) in Kentucky.
Assume that X is N(μA, O²). A sample of 9 pumpkins was selected and the results are shown
below.
5.72 6.91 7.22 6.38 7.26 5.94 8.39 7.04 5.26
Transcribed Image Text:3. Let X be the weight (in pounds) of pumpkins grown in a certain county (county A) in Kentucky. Assume that X is N(μA, O²). A sample of 9 pumpkins was selected and the results are shown below. 5.72 6.91 7.22 6.38 7.26 5.94 8.39 7.04 5.26
4. In addition to the data for county A in question 3 (above), another county in Kentucky (county B)
did a study of pumpkin weights. Let Y be the weight (in pounds) of pumpkins grown in a county B.
Assume that Y is N(μB, 02). Here are the data from the sampled pumpkins from country B.
5.03 7.67 5.95 6.44 7.71 8.02 8.27 4.21
Conduct the following hypothesis test (an F test) (using a=.05)
Ho: oo versus Ha: 0² 03
A) Identify the critical region.
B) Calculate the test statistic.
C) What is your conclusion for the hypothesis test? Justify your answer.
Transcribed Image Text:4. In addition to the data for county A in question 3 (above), another county in Kentucky (county B) did a study of pumpkin weights. Let Y be the weight (in pounds) of pumpkins grown in a county B. Assume that Y is N(μB, 02). Here are the data from the sampled pumpkins from country B. 5.03 7.67 5.95 6.44 7.71 8.02 8.27 4.21 Conduct the following hypothesis test (an F test) (using a=.05) Ho: oo versus Ha: 0² 03 A) Identify the critical region. B) Calculate the test statistic. C) What is your conclusion for the hypothesis test? Justify your answer.
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