An automobile assembly line operation has a scheduled mean completion time, μ , of 13.6 minutes. The standard deviation of completion times is 1.5 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 46 completion times under new management was taken. The sample had a mean of 13.5 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. a) State the null hypothesis H0? and the alternative hypothesis H1? . H0:? H1:? (b) Determine the type of test statistic to use. ▼(Choose one) chi sqaure ? z ? t ? f? (c) Find the value of the test statistic. ? (Round to three or more decimal places.) (d) Find the p-value. ?(Round to three or more decimal places.) (e) Can we support the claim that the mean completion time has decreased under new management? yes or no ?
An automobile assembly line operation has a scheduled
level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed.
| a) | State the null hypothesis
H0?
H1?
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H0:?
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H1:?
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| (b) | Determine the type of test statistic to use. | |
| ▼(Choose one) chi sqaure ? z ? t ? f? |
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| (c) | Find the value of the test statistic. ? (Round to three or more decimal places.) | |
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| (d) | Find the p-value. ?(Round to three or more decimal places.) | |
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| (e) |
Can we support the claim that the mean completion time has decreased under new management? yes or no ? |
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Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any specific subpart to be answered then please submit that subpart only or specify the subpart in your message.
a) Hypothesis:
The null hypothesis is,
The alternative hypothesis is,
b)
The type of test statistic to be used is Z as, the population is distributed normally with known population standard deviation.
For testing mean with known population standard deviation Z test is most appropriate test.
Answer:
Thus, the type of test statistic to be used is Z.
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