"D" size batteries produced by M&M Corporation have had a maximum life expectancy of 350 hours. Because of an improved production process, it is believed that there has been an increase in the life expectancy of its "D" size batteries. A sample of 81 batteries showed an average life of 354 hours with a sample standard deviation of 18 hours. a) State the null, Ho, and alternative, Ha, hypotheses for this problem if you want to determine if the improved production increased the life expectancy of the batteries b) What is your test statistic? c) Using the critical value approach, test at the 99% confidence level to determine if there was an increase in the life expectancy of the batteries? (i.e. indicate if we should reject Ho or fail to reject Ho and TS and CV comparison) In your CV comparison, include values in your comparisons and clearly label the TS value and the CV value. (If not sure of answer, GUESS REJECT OR FAIL TO REJECT) d) Based on rejecting Ho or failing to reject Ho, what is your conclusion regarding if there was an increase in the life of the batteries?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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"D" size batteries produced by M&M Corporation have had a maximum life expectancy of 350 hours. Because of
an improved production process, it is believed that there has been an increase in the life expectancy of its "D"
size batteries. A sample of 81 batteries showed an average life of 354 hours with a sample standard
deviation of 18 hours.
a) State the null, Ho, and alternative, Ha, hypotheses for this problem if you want to determine if the improved
production increased the life expectancy of the batteries
b) What is your test statistic?
c) Using the critical value approach, test at the 99% confidence level to determine if there was an increase in the
life expectancy of the batteries? (i.e. indicate if we should reject Ho or fail to reject Ho and TS and CV
comparison)
In your CV comparison, include values in your comparisons and clearly label the TS value and the CV value.
(If not sure of answer, GUESS REJECT OR FAIL TO REJECT)
d) Based on rejecting Ho or failing to reject Ho, what is your conclusion regarding if there was an increase in the
life of the batteries?
rion
Transcribed Image Text:"D" size batteries produced by M&M Corporation have had a maximum life expectancy of 350 hours. Because of an improved production process, it is believed that there has been an increase in the life expectancy of its "D" size batteries. A sample of 81 batteries showed an average life of 354 hours with a sample standard deviation of 18 hours. a) State the null, Ho, and alternative, Ha, hypotheses for this problem if you want to determine if the improved production increased the life expectancy of the batteries b) What is your test statistic? c) Using the critical value approach, test at the 99% confidence level to determine if there was an increase in the life expectancy of the batteries? (i.e. indicate if we should reject Ho or fail to reject Ho and TS and CV comparison) In your CV comparison, include values in your comparisons and clearly label the TS value and the CV value. (If not sure of answer, GUESS REJECT OR FAIL TO REJECT) d) Based on rejecting Ho or failing to reject Ho, what is your conclusion regarding if there was an increase in the life of the batteries? rion
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