An article considered regressing y = 28-day standard-cured strength (psi) against x = accelerated strength (psi). Suppose the equation of the true regression line is y = 1900 + 1.3x, and that the standard deviation of the random deviation e is 350 psi. n USE SALT (a) What is the probability that the observed value of 28-day strength will exceed 5000 psi when the value of accelerated strength is 2100? (Round your answer to four decimal places.) (b) What is the probability that the observed value of 28-day strength will exceed 5000 psi when the value of accelerated strength is 2400? (Round your answer to four decimal places.) (c) Consider making two independent observations on 28-day strength, the first for an accelerated strength of 2100 and the second for x = 2400. What is the probability that the second observatio will exceed the first by more than 1000 psi? (Round your answer to four decimal places.) (d) Let Y, and Y, denote observations on 28-day strength when x = x, and x = x2, respectively. By how much would x, have to exceed x, in order that P(Y, > Y,) = 0.95? (Round your answer to two decimal places.) this auuoction

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