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: c. What are the hypotheses that you would use to conduct a hypothesis test to see if the population mean life is different from 18000 hours? H0: H1: d. State the appropriate test used and reason. Determine the appropriate test statistic. Keep at least 2 decimal places. Appropriate test used and reason: Test Statistic e. Find the critical value(s) of the test statistic at the 0.05 level of significance. Keep at least 2 decimal places. Critical Value: f. Based on your answer in part e, is there evidence that the population mean life of humidifiers is different from 18000 hours (use α = 0.05)? Explain by providing the decision and conclusion. g. Compute the p-value and interpret its meaning under the condition that the null hypothesis is true. Keep at least 4 decimal places. p-value: 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. please solve this, its 1 question but multiple c, and e type
Since the operations manager would like to know the population
c. What are the hypotheses that you would use to conduct a hypothesis test to see if the population mean life is different from 18000 hours?
| H0: | |
| H1: |
d. State the appropriate test used and reason. Determine the appropriate test statistic. Keep at least 2 decimal places.
| Appropriate test used and reason: | |||||||
| Test Statistic |
e. Find the critical value(s) of the test statistic at the 0.05 level of significance. Keep at least 2 decimal places.
Critical Value:
f. Based on your answer in part e, is there evidence that the population mean life of humidifiers is different from 18000 hours (use α = 0.05)? Explain by providing the decision and conclusion.
g. Compute the p-value and interpret its meaning under the condition that the null hypothesis is true. Keep at least 4 decimal places.
p-value:
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.
please solve this, its 1 question but multiple c, and e type
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