PART A - Kindly write clearly

According to the US Census Bureau, the mean commuting time in NJ is 30 minutes. You decide to challenge that claim by surveying 61 NJ commuters. The average of their commute times is 39 minutes 1.Ivith a standard deviation of 23 min utes. Can you reject the claim at a significance level of o=.5? a. [3 ptsj Specify null and alternate hypotheses {Ho and Haj and mark one as the claim b. [1" ptsj F'erl'onn the test. including appropriate sketches and calculations C. [2 ptsj Circle one: i. Reject Ho. reject claim ii. Fail to reject Ho. fail to reject claim (1. {4 ptsj Circle the best interpretation of the test results: i. the mean commuting time in NJ is 3G minutes. ii. the mean commuting time in NJ is not 3|] minutes. iii. There is a 95% probability that the mean commuting time in NJ is 30 minutes. However. due to sampling error, there is also a 5% probability that it is not. iv. There is a 95% probability that the mean commuting time in NJ is not 30 minutes. However, due to sampling error, there is also a 5% probability that it is