Please I need help with the following and need the answers asap, thanks

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Problem 5. (1 point) The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a standard deviation of 2.7 seconds. You wish to see if the mean time n is changed by vigorous exercise, so you have a group of 20 college students randomly selected exercise vigorously for 30 minutes and then complete the maze. It takes them an average of 5: = 30.5 seconds to complete the maze. Use this information to test the hypotheses Ho I [4 = 30 Ha : [l 7E 30 Conduct a test using a signicance level of a = 0.01. (a) The test statistic ' (b) The positive critical value, 2* = (c) The final conclusion is F' A. There is not sufficient evidence to reject the null hypothesis that [4 = 30. O B. We can reject the null hypothesis that V ,4 = 30 and accept that \"#30. Note: You can earn partial credit on this problem. Problem 6. (1 point) Starting salaries of 115 college graduates who have taken a statistics course have a mean of $44,371. Suppose the distribution of this population is approximately normal and has a standard deviation of $10,752. Using a 75% confidence level, find both of the following: (NOTE: Do not use commas nor dollar signs in your answers.) (a) The margin of error: (b) The condence interval for the mean [4: