Consider the hypothesis test Ho : 41 = 42 against H1 : 41 # 42 with known standard deviations o = 11 and o2 = 5. Suppose that sample sizes n = 10 and n2 = 15 and that I = 4.8 and 2 = 7.9. 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 is not rejected. The P-value is i 202 Round your answer to three decimal places (e.g. 98.765). (b) The power is i 95 . Round your answer to two decimal places (e.g. 98.76). (c) n1 = 12 = i 11 . Round your answer up to the nearest integer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question

18. Redo.  The answers did not turn out to be Pvalue .202, power .95, n1 n2 11.  They showed up as being wrong.  What are the right answers to this problem?

Consider the hypothesis test Ho : 41 = µz against H1 : 41 # 42
with known standard deviations o = 11 and o2 = 5. Suppose
that sample sizes nį = 10 and n2 = 15 and that I
X2 = 7.9. Use a = 0.05.
4.8 and
(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 is not
rejected. The P-value is
i 202
.Round your answer to three
decimal places (e.g. 98.765).
(b) The power is i .95
. Round your
answer to two decimal places (e.g. 98.76).
(c) n1
= n2 =
i 11
.Round your
answer up to the nearest integer.
Statistical Tables and Charts
Transcribed Image Text:Consider the hypothesis test Ho : 41 = µz against H1 : 41 # 42 with known standard deviations o = 11 and o2 = 5. Suppose that sample sizes nį = 10 and n2 = 15 and that I X2 = 7.9. Use a = 0.05. 4.8 and (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 is not rejected. The P-value is i 202 .Round your answer to three decimal places (e.g. 98.765). (b) The power is i .95 . Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i 11 .Round your answer up to the nearest integer. Statistical Tables and Charts
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,