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  20  completion times under new management was taken. The sample had a mean completion time of  61  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 complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis  H0  and the alternative hypothesis  H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic.

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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 
20
 completion times under new management was taken.

The sample had a mean completion time of 

61
 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 complete the parts below.

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

(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the critical value. (Round to three or more decimal places.)
 
(e) 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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