Question

Marilyn v Hypothesis test for the population mean: t test It seer ve 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 13 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 13 respondents was 45 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 means, Can we conclude that 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. (If necessary, consult a list of formulas) a The thesis р x s The enterrothesis D- OSD 020 The type of test (Choose one) DO OD OD The value of the test statistics (Round to at least three deomal places) 0 X 5 ? The value at the 0.1 level of significance 0 (Round to at least three decimal places.) Can we conclude, at the 0.1 level of significance that the mean number of hours worked per week by college graduates is greater than 40 hours? Yes NO Explanation Check

Answer 1

Solution 0 u=40 N=13 X=45 S-8 The null and allunative hypothesis Ho: u=40 Ha: u>40 test statistict Teststatistica tu sim 45-40 8/195 5/1.192569588 s

2 test statistica 1.193 Ground to Thiee) df = 9-1= 12 Q=0.0 taictical for right tailed te=1:35621733 tc=1.356 (round to thiee decimals) yes