The number of employees, wages per employee and the variance of the wages peremployee for two factories is given below :Factory AFactory BNo. of employees100150Average wage per employee per monthVariance of the Wages per employee per month3,2002,800625729(a) In which factory is there greater variation in the distribution of wages per employee ?(b) Suppose in factory B, the wages of an employee were wrongly noted as 3050 instead of e3650, what would be the correct variance of factory B ?

Answered: Image /qna-images/answer/0dc3b522-b29c-41c0-a97f-d31182f9e696.jpg

Answered: The number of employees, wages per…

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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A regional opera company has tried two different appproaches for soliciting donations form 16 potential sponsors. The 16 potential sponsors were selected at random from a population of potential sponsors and randomly divided into two groups of eight each. Then one of the approaches was used for each group. Assume the population variances are not equal here. The dollar amounts of the resulting contributions are as follows: Approach 1 $1000 $1500 $1200 $1800 $1600 $1100 $1000 $1250 Approach 2 $1500 $1000 $1200 $1500 $1200 $1250 $1100 $1000 Is there any evidencee to indicate that the two approaches differ with respect to the mean amount donated?
From the analysis of wages paid to employees in two service organizations X and Y, the following were obtained: Organization X Organization YNumber of wage earners 550 650Average monthly earnings 5,000 4,500Variance of the distribution of wages 900 1600 (i) Which organization pays a larger amount as monthly wages? (ii) In which organization is there greater variability in individual wages of all the wage earners taken together?
Assume the variance of IBM is .16 and the variance of Microsoft is .25. If the variance of an equallyweighted portfolio of these stocks is .0525, then the covariance between these stock is?
The sales price (in $1,000) of three-bedroom apartments in two cities—Houston, Texas, and Orlando, Florida—are given in the following table. Houston is known to have lower house prices than Orlando; however, it is not clear if it also has lesser variability in its prices. Houston 189 145 220 205 225 275 248 310 150 318 Orlando 301 279 224 400 249 205 289 350 218 300 State the null and the alternative hypotheses to determine if the variance of house price in Houston is less than that in Orlando. What assumption regarding the population is necessary to implement this step? Test the hypothesis at α = 0.05. What is your conclusion?
The Occupational Safety and Health Administration (OSHA) mandates certain regulations that have to be adopted by corporations. Prior to the implementation of the OSHA program, a company found that for a sample of 40 randomly selected months, the mean employee time lost due to job-related accidents was 45 hours. After implementation of the OSHA program, for a random sample of 45 months, the mean employee time lost due to job-related accidents was 39 hours. It can be assumed that the variability of time lost due to accidents is about the same before and after implementation of the OSHA program (with a standard deviation being 3.5 hours). Find a 90% confidence interval for the difference in the mean time lost due to accidents. Test the hypothesis that implementation of the OSHA program has reduced the mean employee lost time. Use a level of significance of 0.10.
consider a study in which the sum of squares (SS) based on an experimental group of 10 participants is 70. and this SS on a control group of 20 participants is 50. The pooled variance of this study is what?
If two samples each have s2 = 30, then the pooled variance will be equal to ___, if the sample sizes are equal.

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