Question

Commuting to work: A community survey sampled 1923 people in Colorado and asked them how long it took them to commute to work each day. The sample mean one-way commute time was 25.8 minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is greater than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? Use the a=0.01 level of significance and the critical value method with the Critical values for the Student's t Distribution Table. Part 1 1 of 5 (a) state the appropriate null and alternate hypotheses. Hou - 25 Hp > 25 This hypothesis test is a right-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas. Critical value(s):

Answer 1

n=1923 Da 0.01 X = 25.8 S = 13 to Here Ho: M=25 have to test , Vs Hil1725 Test statistic is, X-llo teala SA 25.8-25 stot 13/1923 2.699 tools 2.699 Critical value to-1, & 51922, 0:01 = 2.328 A Critical value = 2.328 2.328 1%. L.O.S. tcat. tcritical le 2.699_21328 Reject Ho cut Conclusion Data provide convincing evidence that engineer's claim is tree. by using & Critical valve is obtained "ETINY (0.02, 1922)." command in excel AS 2:0.01 & test is, one toiled that's why used 2 1922 is 'n-1 d. f.