2. An article in the Journal of Quality Technology (Vol. 13, No. 2, 1981, pp. 111-114) describesand experiment that investigates the effects of four bleaching chemicals on pulp brightness.These four chemicals were selected at random from a large population of potential bleachingagents. The data are as follows:Chemical1234Pulp Brightness74.466 92.746 76.20879.306 81.914 80.34677.19982.87680.52273.38579.417 78.017 91.596 80.80280.62678.001 78.358 77.544 77.364 77.386(a) Is there a significant variance component due to chemical types?(b) Estimate the variability due to chemical types.(c) Estimate the random error component.

Answered: Image /qna-images/answer/8da0d919-1160-4dc6-84f5-b45f227d12e5.jpg

Answered: 2. An article in the Journal of Quality…

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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3. The dataset butterfat in the package faraway contains the average butterfat content (percent- ages) of milk for random samples of twenty cows, ten two-year old and ten mature (greater than four years old), from each of five breeds. Therefore, for each combination of breed and age categories, there are ten observations. The data are from Canadian records of pure-bred dairy cattle. Questions of interest are (i) if butterfat content differs with age and/or breed, and (ii) if any potential breed effect is the same for the two age groups. (a) Make appropriate plots of the data and comment on them. (b) Determine an appropriate model, and write it down mathematically, to answer the questions of interest. What are your conclusions? (c) Is the best breed in terms of butterfat content clearly superior to the second best breed? Justify.
The shares of the U.S. automobile market held in 1990 by General Motors, Japanese manufacturers, Ford, Chrysler, and other manufacturers were, respectively, 34%, 27%, 18%, 13%, and 8%. Suppose that a new survey of 1,000 new-car buyers shows the following purchase frequencies: GM 390 Japanese Ford Chrysler 192 241 81 picture Click here for the Excel Data File (a) Show that it is appropriate to carry out a chi-square test using these data. Each expected value is x^2 Other 96 (b) Determine whether the current market shares differ from those of 1990. Use a = .05. (Round your answer to 3 decimal places.) Do not reject Reject HO. Conclude current market shares from those of 1990.
Job Gains and Losses. In the article “Business Employment Dynamics: New Data on Gross Job Gains and Losses” (Monthly Labor Review, Vol. 127, Issue 4, pp. 29–42), J. Spletzer et al. examined gross job gains and losses as a percentage of the average of previous and current employment figures. A simple random sample of 20 quarters provided the net percentage gains (losses are negative gains) for jobs as presented on the WeissStats site. Use the technology of your choice to do the following. a. Decide whether, on average, the net percentage gain for jobs exceeds 0.2. Assume a population standard deviation of 0.42. Apply the one-mean z-test with a 5% significance level. b. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data. c. Remove the outliers (if any) from the data and then repeat part (a). d. Comment on the advisability of using the z-test here.
An official of a large car manufacturing company wanted to study the relationship between an employee's age and the number of absences. For this, a random sample of 10 randomly selected employees was collected and the following data was obtained. The material: age 40 28 34 27 21 38 19 55 31 35 number of absences 1 6 6 9 12 4 13 2 5 3 (a) Predict the number of absenteeism for a 42-year-old employee.(b) Determine the 95% prediction interval for the number of absences for the employee in (a).
Exercise on ANOVA 1. A dietition wanted to test three different diets to find out if the mean weight loss for each of these diets is the same. She randomly selected 21 overweight person, randomly divided them into three groups, and put each group on one of the three diets. The following table records the weights (In kg) loss by these persons after being on these diets for two months. Diet 1 Diet 2 Diet 3 15 11 9 8 16 17 17 9 11 7 16 8 26 24 15 12 20 6 8 19 14 a) We are to test if the mean weight lost by all persons on each of the three diets is the same. Write the null and alternative hypotheses. b) Show the rejection and nonrejection regions on the F distribution curve for a=0.025. c) Calculate SSB, SSW, and SST. d) What are the degrees of freedom for the numerator and denominator? e) Calculate the between-samples and within-samples variances. f) What is the critical value of F for α=0.025. g) What is the calculated value of the test statistic F? h) Write the ANOVA table for this…
A random sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the rejection region used to test the claim that all ages have crash rates proportional to their number of drivers.
The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…
In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 40 out of 866 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish. (a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief explanation of the meaning of the interval. We are 99% confident that the true catch-and-release mortality rate falls outside this interval.We are 1% confident that the true catch-and-release mortality rate falls above this interval. We are 99% confident that the true catch-and-release mortality rate falls within this interval.We are 1% confident that the true catch-and-release mortality rate falls…
According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of plain M&Ms. He counted the number of M&Ms of each color and obtained the results shown in the table. Test whether plain M&Ms follow the distribution stated by the manufacturer at the a = 0.05 level of significance. E Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Hn: The distribution of colors is at most as uniform as stated by the manufacturer. H1: The distribution of colors is more uniform than stated by the manufacturer. O C. Hp: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the…

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