Consider the hypothesis test Ho :µ1 = µz against H1 : µ1 # µ2 with known standard deviations o = 9 and o2 = 5. Suppose that sample sizes nį = 11 and n2 = 14 and that I = 4.5 and I2 = 8.0. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ß = 0.05 if the true difference in means is 3? Assume that a = 0.05. (a) The null hypothesis rejected. The P-value is i .Round your answer to three decimal places (e.g. 98.765).

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Consider the hypothesis test Ho :µ1 = µ2 against H1 : µ1 # µ2 with known standard deviations o1 = 9 and o2 = 5. Suppose that
sample sizes n1 = 11 and n2 = 14 and thatI = 4.5 and I2 = 8.0. Use a = 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if the true difference in means is 3? Assume
that a = 0.05.
(a) The null hypothesis
rejected. The P-value is i
Round your answer to three
decimal places (e.g. 98.765).
(b) The power is
i
. Round your answer to two decimal places (e.g. 98.76).
(c) n1 = n2 =
i
. Round your answer up to the nearest integer.
Statistical Tables and Charts
Transcribed Image Text:Consider the hypothesis test Ho :µ1 = µ2 against H1 : µ1 # µ2 with known standard deviations o1 = 9 and o2 = 5. Suppose that sample sizes n1 = 11 and n2 = 14 and thatI = 4.5 and I2 = 8.0. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if the true difference in means is 3? Assume that a = 0.05. (a) The null hypothesis rejected. The P-value is i Round your answer to three decimal places (e.g. 98.765). (b) The power is i . Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer up to the nearest integer. Statistical Tables and Charts
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