Question

ol 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 24.6 minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is less than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? Use the a=0.10 level of significance and the P-value method with the Critical Values for the Student's t Distribution Table. Part: 0/5 Part 1 of 5 (a) state the appropriate null and alternate hypotheses. HO H. This hypothesis test is a (Choose one) test.

Answer 1

Solution - Given that n=1923 ☆ 24.6 minutes 13 minutes 25 minutes use R: 0.10 → Hence, it is mentioned that mean commute time is less than 25 minutes, it is clear that is is left - tailed test. .: The null and alternative hypothesis is - HO: ll = 25 Hi : ll < 25 This test hypothesis test is a left-tailed 个 Test estatistic X-u za olun Z - 24.6-25 -0.4 T 13 1 11923 0.2965 Z 1.3493 : The P-value 0.0886 Hence, the P-value is less than the significance level. 0.0886 <0.10. : Reject to