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 were11 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 11respondents was 41 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 . Can we conclude that is greater than hours? Use the0.1 level of significance.

Perform a one-tailed test. Then answer the questions below.

1) What is the null hypothesis?

2) What is the alternative hypothesis?

3) What type of test statistic is this? Z, t, Chi square, or F

4)The value of the test statistic ( Round to at least three decimal places)

5) The p-value (Round to at least thee decimal places)

6) Can we conclude that 0.1 level of significance that the mean number of hours worked per week by college graduates is greater than 40 hours? Yes or No