The performance of students at a local community was recorded and categorized based on student's faculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB are shown below: Expected counts are printed below observed counts High Low Average Total Science 12 30 52 94 (15.67) (29.24) (49.09) Humanities 14 20 30 ** (10.67) (19.91) (33.42) Law 4 6 12 22 (*) (6.84) (11.49) Total 30 56 94 180 Chi-sq = 0.020 + 0.858 + *** + 1.042 0.000 + 0.350 + 0.030 + 0.104 + 0.023 =2.600
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Define the null and alternative hypotheses of the χ2 test for the above output.
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- What is meant by the sample space of an experiment?A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following table gives the monthly distances in miles driven by a random sample of 10 sales persons: 2013, 2226, 2561, 1872, 2088, 2639, 2055, 2126, 2613, 2667 Based on this sample, find a 90% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) What is the lower limit of the confidence interval? What is the upper limit of the confidence interval?A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per salesperson. The following list gives the monthly distances in miles driven by a random sample of 12 salespeople.2116, 2682,2543, 2480, 2684, 2005, 2015, 2515, 2152, 2699, 2470, 2474 Send data to calculator Based on this sample, find a 90%confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
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- A random sample of residents from various income brackets were asked their opinion on tax reformfor the country of Guyana. The data so gathered were analyzed by a statistician and the results heobtained using MINITAB are shown below:Expected counts are printed below observed countsLow Middle High TotalFor 26(30.67)75(51.11)14(33.22)115Against 60(69.33)95(115.56)105(**)260Neutral 34(20)30(33.33)11(21.67)75Total * 200 130 450Chi-sq = 0.71 + 11.17 + 11.12 +*** + 3.66 + 11.89 +9.8 + 0.33 + 5.25 = 55.2DF = ??, p-value =???a) Carefully define the null and alternative hypotheses of the ?2 test underlying the generationof the above table. [2]b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. [7]c) What is the conclusion of this test? Give reasons for your answer.The manager of a computer software company wishes to study the number of hours seniorexecutives by type of industry spend at their desktop computers. The manager selected asample of 10 executives from each of three industries. At the .05 level of significance, canshe conclude there is a difference in the mean number of hours spent per week by industry?Most adults would erase all of their personal information online if they could a software firm of 413 random selected adults show that 59% of them would erase all of their personal information online if they could find the value of the test statistic
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