A particular industrial product is shipped in lots of 20 items per lot.Testing to determine whether an item is defective is costly, and hence the manufac-turer samples his production rather than using a 100% inspection plan. A samplingplan constructed to minimize the number of defective shipped to customers calls forsampling 5 items from each lot and rejecting the lot if more than 1 defective is ob-served. It is believed that 10% of lots contains 3 defectives, 20% contains 2 defectives,30% contains 1 defective and 40% contains no defectives. If a randomly accepted lothas one defective in the sample, what is the probability that the accepted lot stillcontains at least one defective?(А) 0.375(В) 0.475(C) 0.525(D) 0.625(E) 0.775

Define the random variables, X : Number of defective in the lot Y : Number of defective in the…

Answered: A particular industrial product is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A local bank has three branch offices. The bank has a liberal sick leave policy, and the CEO was concerned with employees taking advantage of this policy. She thought that the tendency to take advantage depended on the branch at which the employee worked. To see if there were differences in the time employees took for sick leave, she asked each branch manager to sample employees randomly and record the number of days of sick leave taken during 2020. Ten employees were chosen, and the data are listed below. Do this data indicate a difference in branches? Use a level of significance of 0.05. Ho: H₂: Branch 1 Branch 2 Branch 3 Source Treatments Error Total Degrees of freedom: Rejection region: Test statistic: Decision: Conclusion: 15 11 18 df 2 7 9 20 15 19 SS 89.8333 50.6667 140.5000 19 11 23 MS 44.9167 7.2381 14 F 6.2056
If the sample size is decreased, then the sampling error will - a. not change b. Increase c. inrease or decrease d. Decrease
A study is conducted to assess the attitude of physicians towards drug screening in the workplace. To collect the information, physicians are invited to respond to an email survey that is distributed on a network accessible to all university affiliated physicians in the city. Which of the following best describes this type of sampling technique? A. Convenience B. Population C. Random D. Referral E. Stratified
Thirty-five percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.35 , the same as the overall proportion of Americans who drink bottled water more than once a week. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of “p with a line over it” (to 4 decimals). E(p with a line over it) = 0` p with a line over it = Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.08 of the population proportion (to 4 decimals). Probability = Suppose you select a sample of 190 St. Paulites. Show the sampling…
A coach is interested in how many slam dunks the average college freshman at his university can do. Ten volunteers from the senior class step forward. After observing their performance, the coach concluded that college seniors can do an average of 10 slam dunks in a row without missing. what is the sample? what is the population?
A poll in Canada states that 67% of all respondents favor imposing the death penalty. The poll was considered accurate within 4.7 percentage points 95% of the time. How large was the sample size? Round up to the nearest whole number.
Wegman’s (a food market chain) has developed a new store-brand brownie mix. Before they start selling the mix they want to compare how well people like their brownies to brownies made from a popular national brand mix. In order to see if there was any difference in consumer opinion, Wegman’s asked 124 shoppers to participate in a taste test. Each was given a brownie to try. Subjects were not told which kind of brownie they got—that was determined randomly. 58% of the 62 shoppers who tasted a Wegman’s brownie said liked it well enough to buy the mix, compared to 66% of the others who said they would be willing to buy the national brand. Does this result indicate that consumer interest in the Wegman’s mix is lower than for the national brand?
Statistics Question
Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claim of $25,500. Several insurance companies collaborated in a data gathering experiment. They randomly selected 26 homes and sent adjusters to settle the claims. In the sample of 26 homes, the average claim was $28,000 with a population standard deviation of $6300. Is there sufficient evidence at a 0.01 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributed. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho 25,500 Ha H. 25,500
A drug company is testing a new pain relief. They select 100 arthritics. Patient and conduct a double blind test of the drug to see if there are any unwanted side effects. 23% Report that they experienced unwanted side effects. Need any sample statistics
You want to gather some data about students at a local high school. Match the name of the sampling method with the description of corresponding situation. Situations Selecting five classroom numbers at random then surveying all the students in each of these five rooms Surveying every 3rd driver coming through a tollbooth Pulling 50 names from a hat Sampling Method a. Cluster b. Simple Random c. Systematic d. Convenience e. Stratified
I have a group with 6 members from my family.I've weight 52 kg,my father weight 63 kg,my younger brother weight 35 kg,my cousin weight 38 kg,my uncle weight 72 kg. and my eldest brother weight 55 kg.Consider samples of size 4 that can be drawin from this population. To Do: Draw the histogram for the sampling distribution of the sample means.

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