Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean or 75,000 miles and a standard deviation of a writes. These tres come with a 60,000-mile warranty. The manufacturer of the tires can adjusto during the production process, but the adjustment of is quitect The manufacturer wants to set a once and for all so that only 1% of the tires will fail before warranty expres. Find the standard deviation to be story you Intermediate computations to at least four decimal places. Hound your answer to at least one decimal place miles 2 The mean salary offered to students who are graduating from Coastal State University this year is 524,275, with a standard deviation of 53678. A radot sample of 75 Coastal State students graduating this year has been selected, who is the probability that the mean salary offer for these 75 uudet 520.750 ar more? Carry your intermediate computations to at least four deomal places. Round your wer to the decimal places 0.7157 X 5 ? Twenty years ago, a very famous psychologist specializing in marriage counseling authored a book detailing the way in which she believed us ou communicate. She is now interested in the proportion of all couples who bought her book who stayed together for a random sample of 925 couples who bought her book, she found that 184 of them stayed together Based on this, compute a 959. confidence interval for the proportion of all couples who bouche Doce who stayed together. Then find the lower limitand upper limit of the 95% confidence interval Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places necessary, congutama Lower limit: Upper limit: 2