The local government is considering applying cost cutting measures to the number of hours its 811 line is open daily. Currently it is available 24 hours a day, 7 days a week. To help with the decision making process, the government is interested in examining the average number of calls received between 11:30pm on Saturday night and 5:00am Sunday morning. A study of 10 random such time periods from 2021 revealed that the average number of calls was 4.3 with a known population standard deviation of 11.456 calls. (a) At 95% confidence, test if the number of calls is under 11 calls per night. (b) At 99% confidence, test if the number of calls is under 11 calls per night. (c) What would a Type I error mean for this situation? (d) What would a Type II error mean for this situation? (e) What type error did your decision in each tests above risk? (f) Were any assumptions needed to answer the above questions. Why or why not? (g) Up to what confidence could you have rejected the null hypothesis for this situation
The local government is considering applying cost cutting measures to the number of hours its 811 line is open daily. Currently it is available 24 hours a day, 7 days a week. To help with the decision making process, the government is interested in examining the average number of calls received between 11:30pm on Saturday night and 5:00am Sunday morning. A study of 10 random such time periods from 2021 revealed that the average number of calls was 4.3 with a known population standard deviation of 11.456 calls.
(a) At 95% confidence, test if the number of calls is under 11 calls per night. (b) At 99% confidence, test if the number of calls is under 11 calls per night.
(c) What would a Type I error
(e) What type error did your decision in each tests above risk?
(f) Were any assumptions needed to answer the above questions. Why or why not?
(g) Up to what confidence could you have rejected the null hypothesis for this situation
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