2) The new owner of a company has been informed by previous owner that,historically, sales of microwave ovens have been distributed across the modelrange as follows:Model 1: 30 out of 100;Model 2: 60 out of 100;Model 3: 10 out of 100.The new owner, in trying to decide whether or not he should reduce the rangeof models produced, decides to take a random sample of 100 sales of microwaveovens. He finds that sales are distributed as follows:Model 1: 40;Model 2: 40;Model 3: 20.Test the null hypothesis that the historical pattern of model sales still prevails at1% significance level (x6.01-9.210 with df=2)

Given data set: Historical observation Experimental observation Model 1 30 out of 100 (or…

Answered: 2) The new owner of a company has been…

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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Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to…
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In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). Then find the lower limit and upper…
In one particular rainforest in Tasmania, it has been found that 70% of the trees are eucalyptus trees; 20% of the trees are Australian blackwood trees and 10% of the trees are myrtle beech trees. Unfortunately, this rainforest has recently been affected by bushfires; and we are interested in determining whether or not the above percentage distribution of trees has been affected by these bushfires. When the number of trees remaining were counted after several had been burnt down by the bushfires, it was found that there were a total of 500 trees left. Of these, 320 were eucalyptus trees; 120 were Australian blackwood trees and 60 were myrtle beech trees. A scientist would like to know if there is evidence of a significant change in the percentage distribution of trees aş a result of these unfortunate bushfires. (i) Use statistical notation to state the appropriate null and alternate hypotheses. (ii) Calculate the chi-squared test statistic for these data. (ii1) Given a p-value of 0.038…
(6) A student surveys some students on campus in the evening and finds that 16 out of 20 of the students she interviewed are part time students. She uses the data to estimate the percentage of all students who are part time. What type of bias is present in her sample?
Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: B: Percent for company 5 8 13 16 14 20 4 13 A: Percent for CEO 2 –1 3 14 19 17 3 9 Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 1% level of significance. Are the data statistically significant at level α? Will you reject or fail to reject the null hypothesis? choose one: a) Since the interval containing the P-values has values that are smaller than the level of significance, the data are statistically significant and so we reject the null hypothesis. b) Since the interval containing…
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