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Refer to given Exercise. The manufacturer is considering adopting a new process to reduce the variability in the thickness of coating. It is estimated that the additional cost for this improvement is $0.03 per linear meter. The annual production is 10,000 reels. Each reel has 200 m of tape. A random sample of size 8 from the new process yielded the following thicknesses (in millimeters): 0.0051, 0.0048, 0.0049, 0.0052, 0.0052, 0.0051, 0.0050, 0.0049. Is it cost-effective to use the new process? What is the annual savings or loss?
Exercise A manufacturer of magnetic tapes is interested in reducing the variability of the thickness of the coating on the tape. It is estimated that the loss to the consumer is $10 per reel if the thickness exceeds 0.005 ±0.0004 mm. Each reel has 200 m of tape. A random sample of 10 yields the following thicknesses (in millimeters): 0.0048, 0.0053, 0.0051, 0.0051, 0.0052, 0.0049, 0.0051, 0.0047, 0.0054, 0.0052. Find the average loss per reel.
Explain how a pie chart can be constructed. If a data value had relative frequency r, at what angle would the lines defining its sector meet?
in a survey respondents were asked to indicate their favorite brand of cereal post or kelloggs. they were allowed only
Vehicles heading west on Front Street may turn right, left or go straight ahead at elm street. The city traffic engineer believes that half to the vehicles will continue straight through the intersection.
Suppose a doctor uses the average x bar for two tests taken about a week apart. what is the probability of x bar less than 3500? C. Repeat part B for n = 3 tests taken a week apart.
Uniformly distributed in the interval -0.5 cents to 0.5 cents. What is the probability that the round-off error exceeds 0.3 cents or is less than -0.3 cents?
(Convergence of the Subgradient Method) Consider the subgradient methodand q∗ is the optimal dual cost (this stepsize requires knowledge of q∗, which is very restrictive, but the following Exercise 10.37 removes this restriction).
12 mature citrus trees of one variety and 15 of another gave means and standard deviations of their heights as 13.8 and 12.9 ft (means), and 1.2 and 1.5 ft (standard deviations).
At the 0.05 level of significance, is there evidence that the mean amount in the bottles is different from 2.0 liters? Compute the ¬p-value and interpret its meaning.
(a) Devise a CFG that generates any subset of these options. That is, the symbols can occur in any order, any symbol can be missing, and no symbol is repeated.
The Problem Cengage Learning (www.cengage.com) is the second-largest higher-education textbook company in the United States. It has 5,500 employees, generates revenues of approximately $2 billion, and operates in more than 20 countries. The compan..
Two fair dice are rolled. Let one of the dice be red and the other green so that we can tell them apart.- Determine whether these two random variables are independent or not.
q1. if you use a 0.10 level of significance in a two-tail hypothesis test what is your decision rule for rejecting a
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