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Two production plants, A and B, make wire cables that are sent to a common distributor. 40% of the cables sent to the distributor come from Plant A, and the remaining 60% from Plant B. Among the cables produced at Plant A, 95% meet the strength specifications; among the cables produced at Plant B, 98% meet the strength specification.
a) The distributor selects one cable at random from among all cables in stock. If the cable selected is found to meet the strength specifications, what is the probability that the cable was produced at Plant A?
b) Let A be the event that a cable is manufactured at Plant A; similarly, B be the event that a cable is manufactured at Plant B. Let Y be the event that a cable meets the strength specifications; and let N be the event that a cable does not the strength specifications.
(i) Are events A and Y independent? Give reasons;
(ii) Are events B and N independent? Give reasons.
The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.
Estimating the combined mean values for the given data - find the mean for the combined sample
One environmental group did a study of recycling habits in a California community. It found that 73% of the aluminum cans sold in the area were recycled. (Round your answers to four decimal places.)
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What is the point estimate of the mean planned expenditure by all Americans taking long summer vacations in 2002?
Compute lower and upper quartiles of log10-balances? Determine 95% range of the balances in $s? Express in English what the two boundaries mean.
In what sense is this business problem? A societal problem? An individual problem?
Given that x is a normal variable with mean u = 47 and standard deviation = 6.2, find:
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You manufacture and sell an iron rod whose electrical conductivity is supposed to be 10.1. You plan to make 6 measurements of the conductivity of a rod you plan to sell.
Report the t-value, whether you accept or reject Ho, and whether the difference was significant in a brief sentence.
Calculate the paired sample t statistic for these mood scores and How has the relation between the mean and the median changed? What does this suggest about the distribution of the transformed data?
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