Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144, sample mean 2 = 129 population standard deviation 1 = 11, population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer: Decision Rule : Reject H0 if Zcal > citical value Z = Test statistic: (Z calculated) Zcal = (use 4 decimal places) Conclusion: H0.
Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144, sample mean 2 = 129 population standard deviation 1 = 11, population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer: Decision Rule : Reject H0 if Zcal > citical value Z = Test statistic: (Z calculated) Zcal = (use 4 decimal places) Conclusion: H0.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.)
H0: µ1 ≤ µ2
HA: µ1 > µ2
The sample means for the two populations are shown as follows:
sample mean 1 = 144, sample mean 2 = 129
population standard deviation 1 = 11, population standard deviation 2 = 16
sample size 1 = 40, sample size 2 = 50
Answer:
Decision Rule : Reject H0 if Zcal > citical value Z =
Test statistic: (Z calculated) Zcal = (use 4 decimal places)
Conclusion: H0.
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