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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