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 20 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 20 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 ji. Can we conclude that a is greater than 40 hours? Use the 0.05 level of significance. Perform a one-tailed test. Then complete the parts below. D 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 P Ho I X S p H :0 (b) Determine the type of test statistic to use. (Choose one) 0-0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) x 00 (d) Find the critical value. (Round to three or more decimal places.) X 5 0 (e) 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? OYes ONO