Question 39 (5 points) The time it takes people to drive from Winnipeg to Grand Forks, North Dakota follows a normal distribution with standard deviation 17 minutes. A random sample of 34 people driving from Winnipeg to Grand Forks has a mean travel time of 154 minutes. (a) Conduct a hypothesis test at the 3% level of significance to determine whether the true mean travel time between Winnipeg and Grand Forks differs from 150 minutes. Show all your steps, including the hypotheses, the calculation of the test statistic and the P-value, and a properly worded conclusion. (4 marks) (b) Based on the data, a 97% confidence interval for the true mean travel time between the two cities is calculated to be (147.7, 160.3). Could this confidence interval have been used to conduct the test in (a)? Why or why not? If the interval could have been used, what would the conclusion be, and why? (1 mark) Paragraph BIU