ScholarMatic: Explanation & Answer
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1. An electric supplier tracks the response time to customers reported outages. a random sample of 40 of the response time (in minutes) for one operating division of this utility during a single month.
a) What would be the probability to accept the company’s claim if the true mean response is 130 minutes?
c) The company also claims that they offer a very consistent service (low variability). They claim that the coefficient of variation is less than 12% with respect to the target mean response of 120 minutes. Do you agree with the company’s claim with respect to variability?
d) What is the proper confidence interval of the variability (in standard deviation) of the company’s response time?
e) There had been a significant number of complains made by the customer that the time response is way above the 2 hours. The manager of customer service does not accept the claim arguing that maximum a 7.5% of the claims take more than 110 minutes. Do you agree with the manager?
f) What is the probability to reject the customer service manager’s claim if the true proportion of response time greater than 110 minutes is 9%?
g) If the true proportion is p = 0.10, how large would the sample size need to be to correctly reject the customer service manager’s claim with a probability of 0.90?
ScholarMatic: Explanation & Answer
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