An IQ test was given to five MBA students before and after they 3 points completed the MBA degree

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An IQ test was given to five MBA students before and after they 3 points completed the MBA degree. Test whether there is any improvement (increase) in the IO of the same students after completing MBA degree. Note: p1 = population mean IQ before: 12 = population mean IQ after. Hint: If the mean IQ has improved, then the mean IQ difference a < 0; otherwise. the mean IO difference a > 0. Question: Formulate the Null and Alternative Hypotheses for this problem. Students 2 3 4 5 IQ test scores before 110 120 123 132 125 MBA IQ test score After MBA 120 118 125 136 121 Table 1. IQ Test scores for MBA Students before & after HQ: 1Q mean difference 820 vs H1: 10 mean difference 2>0 HO: 1Q mean difference 820 vs H1: 1Q mean difference &:0 HQ: 1Q mean difference a=0 vs H1: IQ mean difference 240 ()HO: 1Q mean difference as0 vs H1: 1Q mean difference d>0 2.2 Make use of the information provided in the previous Question 2.1. 10 points and calculate the t-statistic using T-test. Tick the correct answer below. t-statistic = 0.1028 0 t-statistic =-1.028 t-statistic =-0.816 t-statistic =-2.319

2.3 Based on your empirical evidence in the previous question (2.2) make 5 points your statistical conclusion at the 5% level of significance whether there is any improvement in IO of the same students after completing MBA degree. Tick the correct answer below. Accept the Null hypothesis because the t-statistic is very close to zero. 0O Fail to reject the Null hypothesis, the Null is probably true that IQ remains the same has not improved after completing the MBA degree. None of these aswers is correct. O Reject the Null hypothesis. The alternative is probably true that IQ has improved after completing the MBA degree. 2.4 Is the transportation mode used to ship goods independent of type of 4 points Industry? Suppose the following contingency table below represents frequency counts of types of transportation used by the publishing and the computer hardware industries. Analyse the data by using the chi- square test of independence to determine whether type of industry is independent of transportation mode. Formulate the Null and Alternative Hypothesis for this problem. Transportation Mode Air Train Truck Industry Publishing 32 12 41 Computer Hardware 5 6 24 O Null: There is statistical association between transportation mode and industry vs. Alternative:There is no association. O Null: There is no statistical association between transportation mode and industry vs. Alternative:There is an association. Null: There is no statistical association between transportation mode and industry vs. Alternative:There is independence between transport modes. Null: There is no dependency between transportation mode and industry vs. Alternative:There is an independence

2.5 Is there a statistical association between transportation mode and 8 points industry? Use the information in question 2.4 to test this claim at the 10% level of significance and draw the management conclusion. Tick the correct answer below. We accept HO at the 10% level of significance. The sample evidence is not strong enough to support H1. There is a statistical association between transportation mode and different types of industry. The alternative hypothesis is therefore probably true. We reject HO at the 10% level of significance. It can be concluded, with 90% confidence that the transportation mode used to ship goods is dependent on the type of industry We fail to reject HO at the 10% level of significance. It can be concluded, with 90% confidence that the transportation mode used to ship goods is independent on the type of industry. We fail to reject H1, the alternative hypothesis is therefore probably true. 2.6 In May 2010. the Snap poll asked British adults their opinion on 4 points whether they are in favour of or opposed to using profiling to identify potential terrorists at airports. a practice used routinely in Israel, but not in the UK. Does opinion depend on age? Or are opinion and age independent? Table below show some numbers from Snap Poll. Question: Formulate the Null and Alternative Hypothesis for this problem. Age 18-29 30-49 50-64 65+ Favor 57 66 77 87 Oppose 43 34 23 13 Table 3. Snap Poll Results The alternative hypothesis is that Opinion and Age are independent vs. The null hypothesis is that Opinion and Age are dependent. The null hypothesis is that Opinion and Age are independent vs. The alternative hypothesis is that Opinion and Age are dependent. The null hypothesis is that Opinion and Age are associated vs. The alternative hypothesis is that Opinion and Age are not associated. The null hypothesis is that Opinion and Age are the variables.

2.7 Does opinion depend on age? Or are opinion and age independent? 10 points Using the information in the previous question calculate the Chi-square- statistic using Chi-square-test. Tick the correct answer below. J Chi-squares-stat = 25.20 0 0 Chi-squares-stat = 14.76 Chi-squares-stat = 23.20 Chi-squares-stat = 21.19 2.8 Based on your empirical evidence in the previous question (2.7), and 5 points using a 5% level of significance. make your statistical conclusion about the association between opinion and age. Tick the correct answer below. Reject the Null hypothesis and conclude that Age and Opinion about Profiling are not independent. The alternative is probably true. None of these answers is correct. ) Fail to reject the Null hypothesis, the alternative is probably false. Accept the alternative and conclude that Age and Opinion about Profiling are independent. 2.9 The following data give the percentage of women working in five 7 points companies in the retail and trade industry in Khomas region. The percentage of management jobs held by women in each company is also shown. Calculate a simple regression line. using the method of least squares, to identify a linear relationship (statistical model) between percentage of women working in the retail & trade industry and percentage of management jobs held by women. Tick the correct statistical model below. % Working 67 45 73 54 61 % Management 21 65 Statistical Model: "Management(y) = -35 + 1.3*Working(ex) Statistical Model: ":Management())=1.3 + 35*Working(xx) Statistical Model: ":Management())= 45 + 1.2*Working(xx) Statistical Model: ":Working(y) = -35 + 1.3*%Management(x)

3.0 Using your statistical model in the previous equation, predict the 3 points percentage of management jobs held by women in a company that has 60% women employees. C About 40% of jobs in management by women. I About 43% of jobs in management by women. About 48% of jobs in management by women. About 34% of jobs in management by women.