Boxes of Cheer detergent have the following statement: "Individual packages of Cheer may weightslightly more or less than the marked weight. This is due to normal variations incurred with high speedpackaging machines. However, each day's production of Cheer will average slightly above the markedweight."Suppose the ratio of the variances of weights of two different sizes of boxes is to be estimated. A sampleof 35 "98 oz." packages yielded weights with a sample variance of 1.45 ounces. A sample of 30 "42 oz."packages yielded weights with a sample variance of 1.05 ounces. Find a 95% confidence interval for thetrue ratio of the variances.

Given For 98 oz Sample size n1=35, s12=1.45 =sample variance For 42 oz Sample size n2=30, sample…

Answered: Boxes of Cheer detergent have the…

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 researcher found that the model’s effect size was very large where r = .325. Furthermore, r2 = .106. How much of the variance can be explained by the linear combination of predictor variables? Answer Choices A) 11% B) 32% C) 33% D) 95%
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 1090 samples is 4.3 ppm. Assume the variance is known to be 1.44. Does the data support the claim at the 0.05 level? Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
A snow shovel manufacturer is considering a new shovel with small holes punched in it, thought to reduce energy expenditure of the user. The data in the Problem 4 tab provides information for 13 workers using both the conventional shovel and the perforated shovel. Does the data suggest that the energy expenditure of the perforated shovel is lower than that of the conventional shovel? Does the data suggest that the variance of the two shovels is different?
Psi is a measure of compressive strength, or the ability of the material to carry loads and handle compression. The desired concrete psi rating used for sidewalks and residential driveways ranges from 2500psi to 3000psi obtained from mixing cement, stone, and sand in different ratios but with the same amount of water. The summary of the psi's of three (3) such concrete mixes made by three (3) different civil engineering students is given as follows: Mean vector: The variance-covariance matrix: Concrete mix Mean Concrete mix 1 Concrete mix 2 Concrete mix 3 Concrete mix 1 | Concrete mix 2 2700 18 12 2 3000 12 16 3 2400 Concrete mix 3 16 25 Let the random variable Y be the vector of the psi's of concrete mixes obtained by the students, i.e. Y1, denotes the psi of concrete mix made by student 1, Y2 is the psi of concrete mix made by student 2 and Y3 is the psi of concrete mix psi made by student 3. (a) Find (i) the multivariate probability distribution function (pdf) of Y. (ii) the…
A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than .001 cm². The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values. Assume bearing diameters are normally distributed. Use the data and a = 0.01 to test to determine whether the population of these bearings is to be rejected because of too high a variance. 1.68 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65 Appendix A Statistical Tables (Round your answer to 2 decimal places, e.g. 15.25.) The value of the test statistic is and we reject the null hypothesis ⇒
A. 2.1
Suppose the average height of all humans is normally distributed with a mean of 72 inches and a variance of 18 inches. Use this information to answer the following three questions. 1. Determine P(75<x<84). 2. Determine P(x>80). 3. Determine P(x < 65).

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