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 12 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 12 respondents was 46 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 μ. Can we conclude that μ is greater than 40 hours? Use the 0.05 level of significance. 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.
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 12 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 12 respondents was 46 hours, with a standard deviation of 8 hours.
Assume that the population of hours worked per week by college graduates employed full-time is
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.
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The null hypothesis: |
H0: |
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The alternative hypothesis: |
H1: |
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The type of test statistic: |
(Choose one) Z t Chi square F t |
Degrees of freedom: 11 |
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The value of the test statistic: |
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The critical value at the 0.05 level of significance: |
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Can 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? |
Yes |
No |
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