Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and n2 = 15, that = 7.7 and I, = 5.7 and that s = 4 and s = 9. Assume that of a = 0.05. %3D o; and that the data are drawn from normal distributions. Use = (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if u1 is 3 units greater than 42? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if 41 is 3.0 units greater than 42? Assume that a = 0.05. (a) The null hypothesis v rejected. The P-value is i . Round your answer to three decimal is .016 places (e.g. 98.765). (b) The power is i .65 . Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer to the nearest integer. 31 Statistical Tables and Charts
Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and n2 = 15, that = 7.7 and I, = 5.7 and that s = 4 and s = 9. Assume that of a = 0.05. %3D o; and that the data are drawn from normal distributions. Use = (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if u1 is 3 units greater than 42? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if 41 is 3.0 units greater than 42? Assume that a = 0.05. (a) The null hypothesis v rejected. The P-value is i . Round your answer to three decimal is .016 places (e.g. 98.765). (b) The power is i .65 . Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer to the nearest integer. 31 Statistical Tables and Charts
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
22.
Transcribed Image Text:Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and nz = 15, that = 7.7
and I, = 5.7 and that s = 4 and s = 9. 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) if µ1 is 3 units greater than 42?
(c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if µ1 is 3.0 units greater than 42? Assume that
a = 0.05.
(a) The null hypothesis
v rejected. The P-value is i
.016
. Round your answer to three decimal
is
places (e.g. 98.765).
(b) The power is i
.65
.Round your answer to two decimal places (e.g. 98.76).
(c) n1 = n2 =
i
. Round your answer to the nearest integer.
31
Statistical Tables and Charts
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