An analyst working at Wyson claims that the number of service calls on equipment sold is not more than 15 per week on the average. To investigate this claim, service records were checked for 36 randomly selected weeks and the average service call is found as 16. It is known that the variance of the number of service calls is 9. (Please consider 4 significant digits in your results) c) What is the probability of failing to reject the null hypothesis if the true value of average number of service calls is 10? d) If the analyst wants to design the hypothesis test so that is the average number of calls differs by 1, the test will detect this with 0.9 probability. What is the sample size required?

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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An analyst working at Wyson claims that the number of service calls on equipment sold is not more than 15 per week on the average. To investigate this claim, service records were checked for 36 randomly selected weeks and the average service call is found as 16. It is known that the variance of the number of service calls is 9.

(Please consider 4 significant digits in your results)

c) What is the probability of failing to reject the null hypothesis if the true value of average number of service calls is 10?
d) If the analyst wants to design the hypothesis test so that is the average number of calls differs by 1, the test will detect this with 0.9 probability. What is the sample size required?

c) What is the probability of failing to reject the null hypothesis if the true value of average
number of service calls is 10?
d) If the analyst wants to design the hypothesis test so that is the average number of calls
differs by 1, the test will detect this with 0.9 probability. What is the sample size required?
Transcribed Image Text:c) What is the probability of failing to reject the null hypothesis if the true value of average number of service calls is 10? d) If the analyst wants to design the hypothesis test so that is the average number of calls differs by 1, the test will detect this with 0.9 probability. What is the sample size required?
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