A survey wus recently sent to a group of adults selected at random. There were 12 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 12 respondents was 42 hours, with a standard deviation of 10 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean u. Can we conclude that u is greater than 40 hours? Use the 0.05 level of significance. 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 (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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It seem
e days that College graduates who are emproyed Tui-time work more than 40-nour weeks. Data are avallabie that can neip us decide ir thiS is tru
A survey wus recently sent to a group of adults selected at random. There were 12 respondents who were college graduates employed full-time. The mean
number of hours worked per week by these 12 respondents was 42 hours, with a standard deviation of 10 hours.
Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean u. Can we conclude that u is
greater than 40 hours? Use the 0.05 level of significance.
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 H1.
p
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we conclude, at the 0.05 level of significance, that the mean number of
I--...- ...-.-.- J ---...- -I. L..
--IL-- - .
:- - --
Transcribed Image Text:It seem e days that College graduates who are emproyed Tui-time work more than 40-nour weeks. Data are avallabie that can neip us decide ir thiS is tru A survey wus recently sent to a group of adults selected at random. There were 12 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 12 respondents was 42 hours, with a standard deviation of 10 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean u. Can we conclude that u is greater than 40 hours? Use the 0.05 level of significance. 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 H1. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude, at the 0.05 level of significance, that the mean number of I--...- ...-.-.- J ---...- -I. L.. --IL-- - . :- - --
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