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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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Probability is: 0.9229

Hours 1.6448

 

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

d. State the appropriate test used and reason.  Determine the appropriate test statistic.  Keep at least 2 decimal places. (Hint: for calculating the test statistic, consider the sample mean value obtained from the random sample you have found above)

Appropriate test used and reason: 

Test Statistic:

Critical Value: 1.96

 

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:

please use excel to solve

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