It seems these days that college graduates who are employed full-time work more than 4Uhour 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 16 respondents was 44 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 |I. Can we conclude that | Is greater than 40 hours? Use the 0.10 level of significance. Perform a one-talled 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 Ho and the alternative hypothesis H X (b) Determine the type of test statistic to use. (Choose one) D=0 030 020 (c) Find the value of the test statistic. ( Round to three or more decimal places.) x 5 ? d) Find the p-value. (Round to three or more decimal places.) (e) can we conclude, at the 0.10 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours? Yes No