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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?
Checking the output by almost continuous sampling since the abnormal condition began. What is the probability that in a sample of 10 pieces: Exactly 5 will be defective?
Do the data indicate that the lengths of one supplier's 2x4's are subject to more variability than those of the other supplier? Assume α = 0.05. (HINT: F Test for Differences in Two Variances)
At 5% level of significance, is there evidence of difference in mean life of bulbs made by the 2 kinds of machines. What is your conclusion?
He randomly selects a sample of 10 items of the procduct from a large lot ready to be shipped. He (given that) the true proportion of perfect condition items is only 80% what is the probability that the lot will not be shipped?
How much evidence is there that the mean composite satisfaction rating exceeds 42?
College students are a major target for advertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year. If that percentage is accurate, how many students would you exp..
Estimating confidence interval for mean value of y and find a 95% confidence interval for the expected average total sleep time for a child of age 12
A company uses triple time estimates to determine expected completion time for all of their projects. If they determined the expected time to complete a project is 25 weeks with a variance of of 9 weeks
How large a sample should be taken if the desired margin of error E is:
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
Management wishes to know how many casks of each wine to make to maximize total. profit. Prepare the linear programming model for this problem.
Suppose you want to know if a new design of a product is actually better than the current product. For example, your design team is working on increasing the speed of the KX Speed Drill
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