Explain your thinking and reasoning as usual worksheets and waited for completeness effort not correctness show me with your work that you gave it a good effort

Problem 1: Acme Trucking claims the average hourly salary of its mechanics is $9.25, with a standard deviation of $1.55. An employment agency researching local businesses randomly samples 81 mechanics and finds that they have an average hourly salary of $8.95. The employment agency suspects that the average salary given by Acme might be inaccurate, and the true average is lower. Use a 1% level of significance to test this theory. a. Let X be a random variable representing the hourly salary of mechanics. State the null and alternative hypotheses using up to be the mean of X. Ho = Ha : b. Assuming Ho is true, compute the test statistic for the results of the given sample. c. Should you reject, or fail to reject, the null hypothesis? Problem 2: Determine the correct hypothesis test to use and complete the test. Boys of a certain age are known to have a mean weight of u - 85 pounds. A complaint is made that the boys living in a municipal children's home are underfed. As one bit of evidence. n - 25 boys (of the same age) are weighed and found to have a mean weight of * = 80.94 pounds. It is known that the population standard deviation o is 11.6 pounds and that its distribution is normal. Based on the available data, what should be concluded concerning the complaint? [Use a 5% level of significance) An insurance company advertises that it takes 21 days on average to process a claim, with a standard deviation of 8 days. A random sample of 35 customers who filed a claim had an average time of 24 days to process the claims. Use a 1% level of significance to test if this indicates that the average process time is longer than 21 days. It is assumed that the mean systolic blood pressure is u = 120 mm Hg. In the Honolulu Heart Study, a sample of n = 100 people had an average systolic blood pressure of 130.1 mm Hg with a standard deviation of 21 21 mm Hg . Is the group significantly different (with respect to systolic blood pressure) from the regular population? Test with a 1% level of significance. Marketers believe that 92% of adults in the United States own a cell phone. A cell phone manufacturer believes that number is actually lower. 200 American adults are surveyed, of which, 174 report having cell phones. Use a 5% level of significance to test