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Question: A shipment of thousands of pins contains some percentage of defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 80 items are chosen at random from the sample and tested. If the number of defectives in the sample is at most three, the shipment is accepted. (The number 3 is known as the acceptance number of the sampling plan.)
a. Assuming that the shipment includes 3% defectives, what is the probability that the shipment will be accepted? (Hint: Use the binomial distribution.)
b. Assuming that the shipment includes 6% defectives, what is the probability that the shipment will be accepted?
c. Using the Data|Table command, tabulate the probability of acceptance for defective percentage ranging from 0% to 15% in steps of 1%.
d. Plot a line graph of the table created in (c). (This graph is known as the operating characteristic curve of the sampling plan.)
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It is able to obtain a list of buyers from the state motor vehicle division, from which a random sample of 20 buyers is selected. The manufacturer makes every effort to find out what those people paid for the cars and is successful in doing so.
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Both groups were given the same information about radiation therapy. If it resulted that 24 members of the first group and 12 of the second group elected to have surgery, what conclusions would you draw?
If 30 Samples of 100 items are tested for nonconformity, and 95 of the 3000 items are defective, find the upper and lower control limits for a p chart.
Given two continuous random variables X and Y, use Theorem 4 to express E(X) in terms of (a) the joint density of X and Y; (b) the marginal density of X.
The article "Psychiatric and Alcoholic Admissions Do Not Occur Disproportionately Close to Patients' Birthdays" (Psychological Reports, 1992: 944-946) focuses on the existence of any relationship between the date of patient admission for treatment..
Suppose you are waiting for your federal tax refund. On average, how many weeks would you have to wait before receiving your refund?
In a certain class, 21% of the students are left-handed. Suppose that a random sample of 66 students is selected. Find the mean number of left-handed students.
Develop two-null hypothesis tests to ascertain if there are any statistical variances in the averages of bus route times and any statistical variance among the average performance of the bus drivers. Use the following information to conduct the te..
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