QUESTION THREE(a) The employees in 4 different firms are distributed in three cell frequencies shown in thefollowing table. Test the hypothesis that there is no relationship between the firm and thetype of labour. Let the level of significance be 5%.FirmType of LabourSkilledSemi-skilledManualFoodFuel and LightingClothingHouse RentA243224MiscellaneousB243522202301601906056C233740(b) The theory predicts that the proportions of beans in the four groups A, B, C and D shouldbe 9: 3:3: 1 respectively. In an experiment, it was found that out of 1600 beans the numberof beans distributed in the four groups were 882, 313, 287 and 118 respectively. Does thisexperiment result support the theory?(c) Construct the cost of living index from the following data:GroupsIndex NoD49Weights4810812155180

We can use a chi-square test of independence to test the hypothesis that there is no relationship…

Answered: QUESTION THREE (a) The employees in 4…

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 following table is from a publication. The individuals in the following table have an eye irritation, a nose irritation, or a throat irritation. They have only one of the three. Is there sufficient evidence to reject the hypothesis that the type of ear, nose, or throat irritation is independent of the age group at a level of significance equal to 0.05? Age (years) Type of Irritation 18-29 30-44 45-64 65 and Older Eye 422 560 340 54 Nose 932 1324 802 101 Throat 247 309 142 24 (a) Find the test statistic. (Round your answer to two decimal places.)(ii) Find the p-value. (Round your answer to four decimal places.)(b) State the appropriate conclusion. Reject the null hypothesis. There is not significant evidence that this sample contradicts the claim of independence.Reject the null hypothesis. There is significant evidence that this sample contradicts the claim of independence. Fail to reject the null hypothesis. There is not significant…
7h. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 450 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =
A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1 19.2 19.3 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…
A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in MicrosoftÂ® ExcelÂ® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The data are shown below: Number of Pages (xx) Cost(yy) 936 129.68 971 124.23 458 62.54 487 73.31 647 97.11 648 98.24 869 115.97 774 113.62 426 61.38 671 91.23 658 83.54 A student calculates a linear model using technology (Statistics Calculator or Computer)ˆyy^ = xx + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 583.Cost = $ (Use the linear model with yor rounded coefficients and then round your answer to 2 decimal places.)
S An employee at Coconino Community College (CCC) is evaluated based on goal setting and accomplishments toward the goals, job effectiveness, competencies, and CCC core values. The categories, ratings, and weights for a particular employee are shown in this table. Weight % 2 Category Competency 1 Competency 2 Competency 3 Competency 4 Competency 5 Goal 1 Goal 2 Job Effectiveness Core Values Rating 3 2 4 2 4 4 4 3 2 433 3 20 2282 22 20 23 Compute a weighted average score for this employee. Round your answers to two decimal places. Average score for this employee:
Personality preferences for a random sample of 519 people in the listed professions are shown in the following table. T refers to THINKING and F refers to FEELING. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Occupation T F Row Total Clergy 57 91 148 M.D. 77 82 159 Lawyer 118 94 212 Column Total 252 267 519
il. CENGAGE MINDTAP apter 13 Assignment 3. 4. 5. 6. 7. 9. 8. Ebay 0. O O O O FP-See What's Hot A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Source of Variation Factor A Factor B Interaction Error Total Sum of Squares 1976.3 1248 2818.6 3530 Test for any significant main effects and any interaction. Use a = 0.05. Round Sum of Squares to the whole number, F value, Mean Square to two decimals, if necessary, and p-value to four decimals. 9573 FF Geres 9/ O €3 Degrees of Freedom 1 2 2 6 11 Factor A 31 1976.3 Mean Square 624 Pokemon Eestis.. 1409.3 Level 1 588.33 Level 2 Level 1 115 145 135 95 F value 3.36 1.06 Factor B Level 2 100 76 2.4 117 125 p-value 0.1165 Level 3 55 83 0.4033 0.1719 100 156 Conclusion Not significant Not significant Q Search this course Not significant Oct 21 X 6:46 ?
1.) The Test Statistic for this data. (Round answer to 3 decimal places). 2.) The p-value for this sample. (Round answer to 4 decimal places).
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…
his question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Excavation Site Material Site A Site B Row Total Basalt 756 559 1315 Obsidian 92 103 195 Pedernal chert 514 521 1035 Other 88 91 179 Column Total 1450 1274 2724 (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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