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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.
To find weighted aggregate price index using Laspeyres and Paasche method.
Hypothesis test for two factors ANOVA. Describe what thses represent and, based on figure, whether there is a problem with the data r otherwise.
(a) Find the median cost of houses at Coal City in 1988. (b) Find the modal selling price of houses at Coal City in 1988.
The student body of a large university comprises 60% female students. Elucidate what is the probability that the students in the sample exactly two are female?
At least half the patients are under 15 years old? First, describe how this can be modelled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20 percent.
The intelligence Quotient test scores normally distributed with a mean of 100 and a standard deviation of 15.
Pick a random sample of 50 homes from the enclosed 90 cases. Double the asking price and selling price and use this data to develop three predictive models:
Find out the crude death rate, age specific death rate, standard death rate and adjusted death rate.
Inventories represent a considerable investment for every organization; thus, it is important that they be managed well. Excess inventories can indicate poor financial and operational management.
With the test statistic you chose, work out the problem with solution using .05 level of significance if it applies.
There are two telephone lines A and B. Let E1 be the event that line A is being used and E2 be the event that line B is being used
Which test should we use to determine whether the difference between Mesa and Tempe is statistically significant? Why? Should it be one or two-tailed?
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