Question

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 11 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 11 respondents was 46 hours, with a standard deviation of 9 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 j is greater than 40 hours? Use the 0.1 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. a The nullypothesis P $ ce The sternative hypothesis: a 8 - The type of test statistic (Choose one) OSO DO CO The value of the test statistic Round to least three decimale) ? The critical value at the 0.1 level of significance Cound to at least three decimal places) 0 Can we conclude, at the 0.1 level of significance that the mean ber of hours worked per week by colege graduates is greater than 40 hours!

Answer 1

u=40 hours hell X = 46 S-9 The null hypothesis Ho: M<40 The Alternative othe test statistic : t Test statistic t=x-u =46-40 sln 9/JM The type 2.211 The critical value - (of = n-1 = 11-1 = 10) 2 = 0.1 te = to df = tous lo = 1-372] (using t-table) Conclusion : [Yes, tcoitical value greater that act, the level of siguificame that the mean number of hows, worked per weekly colleage graduate is greater than 40 howes.