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Question: Packaging CDs (6.2, 5.3) A manufacturer of compact discs (CDs) wants to be sure that their CDs will fit inside the plastic cases they have bought for packaging. Both the CDs and the cases are circular. According to the supplier, the plastic cases vary Normally with mean diameter μ = 4.2 inches and standard deviation σ = 0.05 inches. The CD manufacturer decides to produce CDs with mean diameter m = 4 inches. Their diameters follow a Normal distribution with σ = 0.1 inches.
(a) Let X = the diameter of a randomly selected CD and Y = the diameter of a randomly selected case.
Describe the shape, center, and spread of the distribution of the random variable X - Y. What is the importance of this random variable to the CD manufacturer?
(b) Compute the probability that a randomly selected CD will fit inside a randomly selected case.
(c) The production process actually runs in batches of 100 CDs. If each of these CDs is paired with a randomly chosen plastic case, find the probability that all the CDs fit in their cases.
a bus passes by a certain street corner every morning around 900 a.m. let x be the difference in minutes between the
Homeowners 2005. In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership rate.
(1) When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1272 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5690 pumps were accurate. Use a 0.01 significance level to..
Your goal is have a college fund for your child. Suppose you find a fund that offers an APR of 7%. How much should you deposit monthly to accumulate ?$t86,000 i
Are the following statements a valid pair of null and alternative hypothesis?
What decision would Beverly make if she were optimistic?
Tablet hardness. Exercise 27.11 concerns process control data on the hardness of tablets (measured in kilograms) for a pharmaceutical product. Table 27.4 gives data for 20 new samples of size 4, with the and s for each sample. The process has bee..
More CPIs. In addition to the national CPI, the BLS publishes CPIs for 4 regions and for 37 local areas. Each regional and local CPI is based on just the part.
An allergy medication is successful for 70% of all patients who use it. The medication is given to 200 patients. Let X = number of successful treatments.
Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.
If the independent variable has absolutely no effect on the dependent variable, will the means of the experimental conditions be the same? Why or why not?
Maria and Ellen both specialize in throwing the javelin. Maria throws the javelin a mean distance of 200 feet with a standard deviation of 10 feet.
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