A sample of 55 measurements resulted in a sample mean, ?⎯⎯⎯=9.3x¯=9.3 and sample standard deviation ?=1.47s=1.47. Using ?=0.05α=0.05, test the null hypothesis that the mean of the population is 10.510.5 or less against the alternative hypothesis that the mean of the population, ?>10.5μ>10.5 by giving the following: (a)    the degree of freedom    (b)    the test statistic      The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that ?=10.5μ=10.5. B. We can reject the null hypothesis that ?=10.5μ=10.5

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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A sample of 55 measurements resulted in a sample mean, ?⎯⎯⎯=9.3x¯=9.3 and sample standard deviation ?=1.47s=1.47. Using ?=0.05α=0.05, test the null hypothesis that the mean of the population is 10.510.5 or less against the alternative hypothesis that the mean of the population, ?>10.5μ>10.5 by giving the following:
(a)    the degree of freedom   
(b)    the test statistic   

 

The final conclusion is


A. There is not sufficient evidence to reject the null hypothesis that ?=10.5μ=10.5.
B. We can reject the null hypothesis that ?=10.5μ=10.5

 

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