Question 7: The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined resulting in = 94.32. Assume that the distribution of the melting point is normal with o = 1.20. (a) (b) Test Ho = 95 versus Hau 95 at a significance level 0.01 by reporting the p-value. A 99% confidence interval for using the given sample mean is (93.5, 95.1). What does this tell you abou your decision in part (a)? If a level 0.01 test is used, what is 3(94), that is, the probability of a type II error when μ = 94?

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Question 7: The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined,
resulting in
94.32. Assume that the distribution of the melting point is normal with o = 1.20.
(a)
Test Hoμ = 95 versus Haμµ ‡ 95 at a significance level 0.01 by reporting the p-value.
(b)
A 99% confidence interval for using the given sample mean is (93.5, 95.1). What does this tell you about
your decision in part (a)?
(c)
(d)
=
If a level 0.01 test is used, what is ß(94), that is, the probability of a type II error when μ =
=
What value of n is necessary to ensure that ß(94) = 0.1 when a = = 0.01?
94?
Transcribed Image Text:Question 7: The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in 94.32. Assume that the distribution of the melting point is normal with o = 1.20. (a) Test Hoμ = 95 versus Haμµ ‡ 95 at a significance level 0.01 by reporting the p-value. (b) A 99% confidence interval for using the given sample mean is (93.5, 95.1). What does this tell you about your decision in part (a)? (c) (d) = If a level 0.01 test is used, what is ß(94), that is, the probability of a type II error when μ = = What value of n is necessary to ensure that ß(94) = 0.1 when a = = 0.01? 94?
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