Acceptance sampling is a method that uses small random samples from incoming shipments of products toassess the quality of the entire shipment. Typically, a random sample of size n is selected from a shipment, andeach sampled item is tested to see whether it meets quality specifications. The number of sampled items that donot meet specifications is denoted by x. As long as x does not exceed a prespecified integer c, called theacceptance number, then theentire shipment is accepted for use. If x exceeds c, then the shipment is returned to the vendor. In practice, becausen is usually small in comparison to the number of items in a shipment, a binomial distribution is used to describethe random variable x.Suppose a company uses samples of size n=10 and an acceptance number of c= 1 to evaluate shipments. If 10% ofthe items in a certain shipment are defective, what is the probability that this shipment will be returned to thevendor?

The binomial distribution determines the probability of the shipment being returned based on these…

Answered: Acceptance sampling is a method that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The university administrator wants a quick estimate of the average course size, i.e. how many students are enrolled in one course on average. However, since he does not want the faculty to find out about his interest, he has decided to use the students as his help. He has decided to randomly select 100 students to find out and report to him the number or numbers of students in his course or courses. Thus, his estimate of the average course size is the average of the numbers reported by the students.(a) Does such a procedure serve his purpose?(b) If you answered yes to the previous question, explain why. If you answered no to the previous question, present a more efficient way.
The table below reveals the relative frequencies of students and how they get to and from school. Why is the lower right cell in this table 100%? is it because every row in this sort of table adds to 100? all of the other numbers in the table add to 100? it was just a lucky set of numbers that happened to add to 100? or because 100% represents all of the students who were included in the data set?
Airlines tend to overbook their flights because they assume a certain percentage of people will be 'no shows' due to change in plans or late connecting flights. A recent study suggested that 86% of people actually show up for their flight on time. A random sample of 222 booked passengers is taken and whether or not they showed up on time is recorded for each of them. The Central Limit Theorem for proportions says that the sampling distribution of the proportion of people who show up on time for their flight will have a Normal shape. (a) Give the center and standard error for the sampling distribution of proportions. Round to four decimal places as needed. mean = and standard error = (b) What is the probability that at least 88% of the randomly selected booked passengers showed up on time? P(ˆp ≥0.88)= (c) What is the probability that between 82% and 90% of the randomly selected booked passengers showed up on time? P(0.82≤ˆp ≤0.9)= (d) Is 83% an unusually low percentage of…
Every day in the summer months a supermarket receives a shipment of peaches. The supermarket’s quality inspector arranges to have one box randomly selected from each shipment for which the number of “spoiled” peaches (out of 48 peaches in the box), which cannot be put out on the supermarket shelves, is recorded. DS 6.1.5 shows the data set obtained after 55 days. Define the population from which the sample is taken. Do you think that it is a representative sample?
The average fruit fly will lay 375 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 379, 406, 378, 394, 369, 369, 402, 383, 367, 357, 401, 407, 357, 394, 367 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: H1: C. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)
A food quality inspector records the freezer temperature of a random sample offreezers from 11 supermarkets and record the temperatures (in degrees Celsius) as follows−12, −16, 0, −4, 5, − 9, − 9, − 7, − 5, 3, − 10Evaluate the interquartile range for this data.
The following data give the number of keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days. Calculate the following: 1st Decile, 28th Percentile, 7th Decile, and 85th Percentile.
The Grocery Manufacturers of America reported that 66.00% of consumers read the ingredients listed on a product's label. Assume the population proportion is p = 0.66 and a sample of 450 consumers is selected from the population. a. Show the sampling distribution of the sample proportion, where is the proportion of the sampled consumers who read the ingredients listed on a product's label. E(p) = (to 2 decimals) op= (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion (to 4 decimals)? c. Answer part (b) for a sample of 660 (to 4 decimals).
Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Model Model 1 Model 2 Model 31 with Thru-the-Door Ice and Water. Model 4 Model 5 Model 6 with Thru-the-Door Ice and Water Model 7 Model 8. Model 9 with Thru-the-Door Ice and Water Model 10 with Thru-the-Door Ice and Water Model 11 with Thru-the-Door Ice and Water Model 12. Model 13 with Thru-the-Door Ice and Water Model 14 Model 14 Model 15 Model 16 with Thru-the-Door Ice and Water Model 17 Model 18 with Thru-the-Door Ice and Water Model 19 with Thru-the-Door Ice and Water Model 20 with Thru-the-Door Ice and Water Model 21 Cu.Ft. List Price 18.3 Ho: B₂ 20 H₂: B₁ 0 ⒸH₁: B₁ = 0 H₂: P₁0 24.8 25.4 19.3 17.3 19.6 25.0 25.4 26.0 25.6 18.0 25.0 20.2 24.5 $1,299.99 20.2 15.5 28.2 27.8 $899.99 23.6 $1,799.99 $1,799.99 $749.99 $599.99 $1,619.99 $999.99 $1,299.99 $1,299.99 $1,099.99 $679.99 $2,199.99…
The Central Limit Theorem (CLT) deals primarily with the distribution of the a. sample mean b. sample variance c. sample median d. sample proportion e. population mean

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