Determine the type of test statistic to use. (Choose one) Y Find the value of the test statistic. (Round to three or more decimal places.) E Find the critical value. (Round to three or more decimal places.) D 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? 0 Yes 0 No III"l |'I:I 2 Del I I I2I:I :2 I:II:I X 5) 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 47 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 il. Can we conclude that ii 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 H0 and the alternative hypothesis H1. H O p H : 0 E i s 3 H1 :I: D E (b) Determine the type of test statistic to use. l(Choose one) Vl = 5I 2l