An electronics manufacturing process has a scheduled mean completion time of  75  minutes. It is claimed that, under new management, the mean completion time,  μ , is less than  75  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  73  minutes and a standard deviation of  11  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. 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 
75
 minutes. It is claimed that, under new management, the mean completion time, 
μ
, is less than 
75
 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 

73
 minutes and a standard deviation of 
11
 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.

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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