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  3. an article considered regressing y = 28-day standa

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

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Statistics

An article considered regressing y = 28-daystandard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the trueregression line is  y = 1900 +1.4x,

and that the standard deviation of the random deviationϵ 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.)

Answer & Explanation Solved by verified expert
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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