It seems these days that college graduates who are employed full-time work more than 40-hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 10 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 10 respondents was 47 hours, with a standard deviation of & 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) ▼ OSO (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) Cần we conclude, at the 0.05 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours? CYes ONo
It seems these days that college graduates who are employed full-time work more than 40-hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 10 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 10 respondents was 47 hours, with a standard deviation of & 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) ▼ OSO (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) Cần we conclude, at the 0.05 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours? CYes ONo
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Transcribed Image Text:It seems these days that college graduates who are employed full-time work more than 40-hour weeks. Data are available that can help us decide if this is true.
A survey was recently sent to a group of adults selected at random. There were 10 respondents who were college graduates employed full-time. The mean
number of hours worked per week by these 10 respondents was 47 hours, with a standard deviation of 8 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) ▼
OSO
(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) Cần we conclude, at the 0.05 level of significance, that the mean number of
hours worked per week by college graduates is greater than 40 hours?
CYes No
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