Consider the hypothesis test Ho : H1 = H2 against H1:4, # H2. Suppose that sample sizes are n¡ = 15 and n2 = 15, that I = 4.8 and I2 = 7.7 and that s? = 4 and s, = 6.22. Assume that o? = o; and that the data are drawn from normal distributions. 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 – 2? Assume that a = 0.05. (a) The null hypothesis is v rejected. The P-value is i 0.0002 . Round your answer to four decimal places (e.g. 98.7654).

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Consider the hypothesis test Ho :H1 = H2 against H1 : µ, # µ2. Suppose that sample sizes are nị = 15 and n2 = 15, that
X1 = 4.8 and X2 = 7.7 and that s? = 4 and s, = 6.22. Assume that o? = o; and that the data are drawn from normal
%3D
%3D
distributions. 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 – 2? ASsume
that a = 0.05.
(a) The null hypothesis
is
v rejected. The P-value is
0.0002
Round your answer to four decimal
places (e.g. 98.7654).
(b) The power is
i
0.00
Round your answer to two decimal places (e.g. 98.76).
(c) nį = n2 =
i
19
Round your answer to the nearest integer.
Transcribed Image Text:Consider the hypothesis test Ho :H1 = H2 against H1 : µ, # µ2. Suppose that sample sizes are nị = 15 and n2 = 15, that X1 = 4.8 and X2 = 7.7 and that s? = 4 and s, = 6.22. Assume that o? = o; and that the data are drawn from normal %3D %3D distributions. 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 – 2? ASsume that a = 0.05. (a) The null hypothesis is v rejected. The P-value is 0.0002 Round your answer to four decimal places (e.g. 98.7654). (b) The power is i 0.00 Round your answer to two decimal places (e.g. 98.76). (c) nį = n2 = i 19 Round your answer to the nearest integer.
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