Since the operations manager would like to know the population mean, you decide to help him conduct a hypothesis test for the population mean. Based on the random sample of 800 humidifiers that he selects, you find that the sample mean life of the humidifiers is 18017 hours. Continue to assume that based on past experience, the population standard deviation is 800 hours and the vacuum's service life is normally distributed. Answer the following questions related to conducting this hypothesis test: h0= 18000 h1= 18000 Test Statistic: 0.60 Critical Value: 1.96 P-value =0.5485 h. Construct a 95% confidence interval estimate for the population mean life of humidifiers. Fill in the table below. Keep at least 4 decimal places. Based on your result, interpret the meaning of the 95% confidence interval estimates for the population mean when we do not know the true population mean. Confidence Interval (C.I.) Interval Lower Limit Interval Upper Limit i. Based on your answer in part h, what conclusions do you reach? That is, is there evidence that the population mean life of humidifiers is different from 18000 hours? Explain by providing your decision and reason for your decision.
Probability is: 0.9229
Hours 1.6448
Since the operations manager would like to know the population
h0= 18000
h1= 18000
Test Statistic: 0.60
Critical Value: 1.96
P-value =0.5485
h. Construct a 95% confidence
| Confidence Interval (C.I.) | |
| Interval Lower Limit | |
| Interval Upper Limit |
i. Based on your answer in part h, what conclusions do you reach? That is, is there evidence that the population mean life of humidifiers is different from 18000 hours? Explain by providing your decision and reason for your decision.
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