JSE SALT bability that the observed value of 28-day strength vill exceed 5000 psi when the value of 0? (Round your answer to four decimal places.) bability that the observed value of 28-day strength vill exceed 5000 psi when the value of 0? (Round your answer to four decimal places.) g two independent observations on 28-day strength, the first for an accelerated strength o x = 2400. What is the probability that the second observation will exceed the first by more nd your answer to four decimal places.) lenote observations on 28-day strength when x = x, and x = x,, respectively. By how muc x, in order that P(Y, > Y,) = 0.95? (Round your answer to two decimal places.)

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Parts b, c, and d only please.

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 + 1.4x, and that the standard deviation of the random deviation e is
350 psi.
A 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 2000? (Round your answer to four decimal places.)
0.1949
(b) What is the probability that the observed value of 28-day strength vwill exceed 5000 psi when the value of accelerated
strength is 2400? (Round your answer to four decimal places.)
0.0012
(c) Consider making two independent observations on 28-day strength, the first for an accelerated strength of 2000 and
the second for x = 2400. What is the probability that the second observation will exceed the first by more than
1000 psi? (Round your answer to four decimal places.)
0.1681
(d) Let Y, and Y, denote observations on 28-day strength when x = x, and x = x,, respectively. By how much would x,
in order that P(Y, > Y,) = 0.95? (Round your answer to two decimal places.)
have to exceed x,
826.33
Transcribed Image Text: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 + 1.4x, and that the standard deviation of the random deviation e is 350 psi. A 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 2000? (Round your answer to four decimal places.) 0.1949 (b) What is the probability that the observed value of 28-day strength vwill exceed 5000 psi when the value of accelerated strength is 2400? (Round your answer to four decimal places.) 0.0012 (c) Consider making two independent observations on 28-day strength, the first for an accelerated strength of 2000 and the second for x = 2400. What is the probability that the second observation will exceed the first by more than 1000 psi? (Round your answer to four decimal places.) 0.1681 (d) Let Y, and Y, denote observations on 28-day strength when x = x, and x = x,, respectively. By how much would x, in order that P(Y, > Y,) = 0.95? (Round your answer to two decimal places.) have to exceed x, 826.33
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