An electronics manufacturing process has a scheduled mean completion time of  65  minutes. It is claimed that, under new management, the mean completion time,  μ , is less than  65  minutes. To test this claim, a random sample of  11  completion times under new management was taken. The sample had a mean completion time of  63  minutes and a standard deviation of  8  minutes. Assume that the population of completion times under new management is normally distributed. At the  0.05  level of significance, can it be concluded that the mean completion time,  μ , under new management is less than the scheduled mean?   Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic:(Round to at least three decimal places.)   The critical value at the  0.05  level of significance:(Round to at least three decimal places.)   At the  0.05  level, can it be concluded that the mean completion time under new management is less than the scheduled mean?   Yes     No

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An electronics manufacturing process has a scheduled mean completion time of 

65

 minutes. It is claimed that, under new management, the mean completion time, 

μ

, is less than 

65

 minutes. To test this claim, a random sample of 

11

 completion times under new management was taken.

The sample had a mean completion time of 

63

 minutes and a standard deviation of 

8

 minutes. Assume that the population of completion times under new management is normally distributed. At the 

0.05

 level of significance, can it be concluded that the mean completion time, 

μ

, under new management is less than the scheduled mean?

 

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The critical value at the 
0.05
 level of significance:
(Round to at least three decimal places.)
 
At the 
0.05
 level, can it be concluded that the mean completion time under new management is less than the scheduled mean?
 
Yes
 
 
No
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