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A robot that shapes metal needs overhauling if it is out of tolerance on 4.5% of the items processed, and it is operating satisfactorily if it is off on only 0.8% of its output. A test is performed involving 50 sample items. If the sample proportion of out-of-tolerance items is greater than 0.02, the robot will be overhauled. Otherwise it will be allowed to continue operating.
(a) What is the probability that a satisfactory robot will be overhauled unnecessarily?
(b) What is the probability that a robot in need of overhauling will be left in operation?
A Correlation matrix (correlation, coefficients and probability level under the hypothesis rho= 0) for a company's sales force (age, years of service, and current sales) is given below. Comment.
An engine system consists of three main components in a series, all having the same reliability.
Establish a 99% Confidence interval about the difference in the proportion of the town voters and county voters who favor the proposal.
Simplify each expression-Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.
Sample is found to have a mean of 80.6,a standard deviation of 1.4 test the claim that the true mean of this process is different than 80. use 10% level of significance.
What is the probability that a new cup will overflow when filled by the automatic dispenser? At what value should the mean amount dispensed by the machine be set to satisfy this wish?
Assuming that a difference (Δ) of 2 lbs. in the mean was important to detect, a maximum Type I Error (α) level of 5%, and the desire to run a two-tailed test, then:
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
If the number of heads turns out to equal one of your 11 numbers, you win a dollar. which 11 numbers should you pick, and what is your chance of winning? explain.
A shipment of 150 television sets contains three defective units. In how many ways can a vending company buy three of these units and receive (a) no defective units, (b) one defective unit, and (c) at least two good units?
Test the hypothesis that no difference exists between the groups at α = .05 and perform and report all related tests and statistics.
In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. Each student's choice to go to college is independent. From 20 graduates selected at random, what is the probability that exactly 8 wi..
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