A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 35-oz box, and the remaining 30% choose a 60-oz box. Let X1 and X2 denote the package sizes selected by two independently selected purchasers.(a) Determine the sampling distribution of X.x25303542.547.560p(x) Calculate E(X).E(X) = ozCompare E(X) to ?.E(X) > ?E(X) < ? E(X) = ?(b) Determine the sampling distribution of the sample variance S2.s2050312.5612.5p(s2) Calculate E(S2).E(S2) = Compare E(S2) to ?2.E(S2) = ?2E(S2) > ?2 E(S2) < ?2 A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 35-oz box, and the remaining 30% choose a 60-oz box. LetX, and X, denote the package sizes selected by two independently selected purchasers.(a) Determine the sampling distribution of X.25303542.547.560p(x)Calculate E(X).E(X :=ozCompare E(X) to µ.Ο ΕΧ) >μО EEX) 02O E(s?) < o?

Given that Dishwasher soap in three sizes: 25 oz, 35 oz, and 60 oz 20% of all purchasers select a…

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 35-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 25 30 35 42.5 47.5 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to µ. O EX) > H O EX) < H O EX) = µ (b) Determine the sampling distribution of the sample variance S2. 50 312.5 612.5 p(s²) Calculate E(S²). E(S?) = Compare E(S?) to a². O E(s?) = g² O E(s?) > a² O E(s?) < o²

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 35-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 25 30 35 42.5 47.5 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to µ. O EX) > H O EX) < H O EX) = µ (b) Determine the sampling distribution of the sample variance S2. 50 312.5 612.5 p(s²) Calculate E(S²). E(S?) = Compare E(S?) to a². O E(s?) = g² O E(s?) > a² O E(s?) < o²

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

See similar textbooks

Similar questions

A university dean is interested in determining the proportion of students who recieve some sor of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 4% with 90% reliabilty, how many students would need to be sampled?
Two investigators have studied the income of a group of persons by the method of sam-pling. The following table gives their findings Investigator Poor Middle Class Well-to-do TotalA 160 30 10 200B 140 120 40 300Total 300 150 50 500 Using Chi-squared test, show that the sampling technique of at least one of the investi-gators is a suspect at 5% level of significance.
A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. Thecrystals are shipped in lots of 1000. The acceptance sampling procedure uses 20 randomlyselected crystals.a. Construct operating characteristic curves for acceptance numbers of 0, 1, and 2.b. If p0 is .01 and p1 = .08, what are the producer’s and consumer’s risks for each sampling plan in part (a)?
The president of Doerman Distributors, Inc., believes that 30% of the firm’s orders comefrom first-time customers. A random sample of 100 orders will be used to estimate theproportion of first-time customers.a. Assume that the president is correct and p = .30. What is the sampling distributionof p for this study?
A health food store owner determined that 21% of her customers bake their own bread each week. A random sample of 75 customers are asked if they bake their own bread each week and 15% of them said they did. What is the mean of the sampling distribution of ?
What kind of sampling design is used in each of following cases? A large company surveys 100 employees by taking 2 random samples of the 10 managers and 18 samples of the 90 non-managerial employees. A concert venue offers tickets in 3 zones: orchestra, grand tier, and balcony. Tickets in the orchestra zone are most expensive, and tickets in the balcony zone are least expensive. Managers of the venue want to survey approximately 150 guests at an upcoming concert about their overall experience. They randomly select 50 tickets from each zone and invite those guests to participate in the survey. The police set up checkpoints at randomly selected road locations, then inspect every driver at those locations. The service manager at a car dealership inspects every fifth car to make sure that cars are detailed after being serviced
A sample of size 3 is taken from a population of the number of students in eachclass of Grade 9 students listed as 25, 30, 35, and 40. Compute for the mean of the sampling distribution of the sample means.
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selected 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 90% reliability, how many students would need to be sampled?
A quality control specialist took a 20-sized random sample from a 100-sized batch and analyzed it and adopted a double-tier sampling scheme as follows: If all units in the studied sample are accurate, the batch will be accepted. If the total number of defects in the sample is more than 2, the party will be rejected. If the number of defects in the analyzed sample is 1 or 2, the goods from the first sample are removed from the lot without returning them back to the lot.A second sample with a size of 15 is chosen. If the total number of defects in the first and second samples examined is 2 or less than 2, the party will be accepted, in the other case the party will be rejected. Using the hypergeometric distribution for acceptable quality level (AQL) 0.05 according to the given double-layer sampling plan; a. Find the probability that the batch is rejected after the first sample.b. Calculate the producer risk.
the Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was29 years of age or less and the age at first startup for 45% of entrepreneurs was 30 yearsof age or more (the Wall Street Journal, March 19, 2012).a. Suppose a sample of 200 entrepreneurs will be taken to learn about the most importantqualities of entrepreneurs. Show the sampling distribution of p where p is the sampleproportion of entrepreneurs whose first startup was at 29 years of age or less
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 2% with 95% reliability, how many students would need to be sampled?
Suppose that 20% of students at high school A and 18% of students at high school B particpate on a school athletic team. Independent random samples of 30 students from each school are selected and are asked If they participate on a school athletic team. Let ^PA represent the same proportion of students at school A who participate on a school athletic team and let ^PB represent the sample proportion of students at school B who particpate on a school athletic team. A. Find the mean of the sampling distribution of ^PA - ^PB. B. Calculate and Interpret the standard deviation of the sampling distribution. Verify that the 10% condition Is met. C. Is the shape of the sampling distribution approimately Normal? Justify your answer.