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A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance level, is there more variation in the first population?The following hypotheses are given.Ho : 1² 2²H1 : 1² > 2² Solution As F = s1^2/s2^2 Then F = 12^2 / 7^2 = 2.94 [ANSWER] ***************************** Here, df1 = n1 - 1 = 11 df2 = n2 - 1 = 7 - 1 = 6 Using a table, at 0.01 significance, Fcrit = 7.78956974 As F did not exceed Fcrit, the DO NO REJECT HO. [ANSWER].

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A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance level, is there more variation in the first population?The following hypotheses are given.Ho : 1² 2²H1 : 1² > 2² Solution As F = s1^2/s2^2 Then F = 12^2 / 7^2 = 2.94 [ANSWER] ***************************** Here, df1 = n1 - 1 = 11 df2 = n2 - 1 = 7 - 1 = 6 Using a table, at 0.01 significance, Fcrit = 7.78956974 As F did not exceed Fcrit, the DO NO REJECT HO. [ANSWER]

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  • 1. A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance level, is there more variation in the first population?The following hypotheses are given.Ho : 1² 2²H1 : 1² > 2² Solution As F = s1^2/s2^2 Then F = 12^2 / 7^2 = 2.94 [ANSWER] ***************************** Here, df1 = n1 - 1 = 11 df2 = n2 - 1 = 7 - 1 = 6 Using a table, at 0.01 significance, Fcrit = 7.78956974 As F did not exceed Fcrit, the DO NO REJECT HO. [ANSWER]