Question 186912: The employees of Jones Construction Co. are allowed a 30-minute lunch break. The union wants to know if the employees are actually taking breaks that are less than 30 minutes. The union decides to record the times taken for the next 25 breaks taken at the site. The data are summarized as follows:
sample mean = 28.84 min
sample standard deviation = 5.145 min
a. State the appropriate null and alternative hypotheses.
b. Calculate the test statistic.
c. At = 0.05, should the union reject the null hypothesis?
d. What conclusion can the union present to the owner
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The employees of Jones Construction Co. are allowed a 30-minute lunch break. The union wants to know if the employees are actually taking breaks that are less than 30 minutes. The union decides to record the times taken for the next 25 breaks taken at the site. The data are summarized as follows:
sample mean = 28.84 min
sample standard deviation = 5.145 min
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a. State the appropriate null and alternative hypotheses.
Ho: u = 30
Ha: u < 30
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b. Calculate the test statistic.
z(28.84) = (28.84-30)/[5.145/sqrt(25)] = -1.1273
The p-value = P(-10 < z < -1.1273) = 0.1298
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c. At alpha = 0.05, should the union reject the null hypothesis?
Since the p-value is greater thaen 5%, Fail to reject Ho.
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d. What conclusion can the union present to the owner
This study does not support the union claim that the workers
are taking less than 30 minutes for lunch.
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Cheers,
Stan H.
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