An article considered regressing y = 28-day standard-cured strength (psi) against x = accelerated strength (psi). Suppose...

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An article considered regressing y = 28-daystandard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the trueregression line isÂ Â y = 1900 +1.4x,
and that the standard deviation of the random deviationÏµ is 350 psi.
(a)
What is the probability that the observed value of 28-daystrength will exceed 5000 psi when the value of acceleratedstrength is 2000? (Round your answer to four decimal places.)
(b)
What is the probability that the observed value of 28-daystrength will exceed 5000 psi when the value of acceleratedstrength is 2500? (Round your answer to four decimal places.)
(c)
Consider making two independent observations on 28-day strength,the first for an accelerated strength of 2000 and the secondfor
x = 2500.
What is the probability that the second observation will exceedthe first by more than 1000 psi? (Round your answer to four decimalplaces.)
(d)
Let Y₁ andY₂ denote observations on 28-daystrength when x = x₁and x = x₂,respectively. By how much would x₂have to exceed x₁ in order thatP(Y₂ >Y₁) = 0.95?(Round your answer to twodecimal places.)

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3.7 Ratings (518 Votes)

Given that y 1900 14x and sd 350 a probability that the observed value of 28day strength will exceed 5000 psi when the value of accelerated strength is See Answer

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