An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, µ, is less than 70 minutes. To test this daim, a random sample of 11 completion times under new management was taken. The sample had a mean completion time of 62 minutes and a standard devlation of 10 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, u, 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 H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. OSO O20 (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion
time, µ, is less than 70 minutes. To test this claim, a random sample of 11 completion times under new management was taken.
standard devlation of 10 minutes. Assume that the population of completion times under new
management is normally distributed. At the 0.05 level of slgnificance, can It be concluded that the mean completion time, µ, under new management Is less
The sample had a mean completion time of 62 minutes and
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 H. and the alternative hypothesis H..
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
O20
(c) Find the value of the test statistic. (Round to three or more decimal places.)
D>O
(d) Find the p-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?
OYes ONo
の
|x
Transcribed Image Text:An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, µ, is less than 70 minutes. To test this claim, a random sample of 11 completion times under new management was taken. standard devlation of 10 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of slgnificance, can It be concluded that the mean completion time, µ, under new management Is less The sample had a mean completion time of 62 minutes and 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 H. and the alternative hypothesis H.. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) D>O (d) Find the p-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? OYes ONo の |x
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