(b) A random sample of enrollments from selected 6 business schools in London that specializes in finance and marketing is listed below. Test at 10% significance level for the difference in the means. Finance 574 477 601 498 598 547 Marketing 892 913 843 1002 907 785
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- A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is (3 dec places).The distribution is (examples: normal / t12 /…Soccer players and former teammates Romelu Lukaku and Zlatan Ibrahimović got into an altercation. Ibrahimović implied that he was a better striker than Lukaku. Looking at their careers in clubs and in their respective national teams, Ibrahimović scored 467 goals in 750 games, and Lukaku scored 266 goals in 517 games. Neither of their careers are over, so this is just a sample of what both players can do. At the 1% significance level, can we claim that Ibrahimović has a bigger proportion of goals per game than Lukaku? To answer this question, perform a two-proportions z-Interval test. Do not forget to define your hypothesis and interpret your results!Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2) Using the difference data, the sample mean difference was d = $850, and the sample standard deviation was så = $1,123. a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. Ho : μα ♦ Select your answer - Ha d + - Select your answer - b. Use a = = 0.05 level of significance. Can you conclude that the population means differ? - Select your answer - ◆ What is the p-value? (to 6 decimals) c.…
- A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 66 seniors reported using drugs or alcohol within the past month, while 62 national seniors reported using them. Conduct a hypothesis test at the 5% level. State the distribution to use for the test. What is the 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…2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.
- Restaurant Bill by GenderA study compared the cost of restaurant meals when people pay individually versus splitting the bill as a group. In the experiment half of the people were told they would each be responsible for individual meals costs and the other half were told the cost would be split equally among the six people at the table. In the study, the diners were also chosen so that half the people at each table were female and half were male. We can test for a difference in mean meal cost between females (n1=24, x¯1=44.46, s¯1=15.48) and males (n2=24, x¯2=43.75, s2=14.81).Let group 1 and group 2 be the meal costs for females and males, respectively. state the null and alternative hypotheses calculate the relevant test statistic find the p-valueA movie streaming company only holds on to a movie in its offerings if the movie has earned a 4.5 rating or above. Currently, there are seven movies being evaluated and the ratings for three of these seven are in the sample. We are interested in determining which ones will be kept in the company’s selection and which ones will be removed from the selection (testing at a 5% level of significance). Movie 1 Movie 2 Movie 3 4.6 5 4.6 4.9 4.5 4.8 4.6 5 4.9 4.1 5 4.6 5 3.8 4.3 5 3.6 4 5 2.6 4 3.5 1 4.9 4.1 5 4.6 5 3.2 4.9 5 5 4.7 5 5 3 3.2 5 4.6 3.9 3.8 4.6 5 2.6 4.6 4.3 3.4 4.9 4.1 4 4 5 1.4 4.6 4.2 2.7 4.9 5 3.4 4.5 4.9 3.9 4.5 5 5 4.6 5 3.3 4.6 2.9 4.6 5 5 3.4 4.4 4 1 3.7 3.9 4.5 4.9 4.7 3.7 4.5 4.7 4.6 4.5 3.8 3 4.9 4.4 4.8 4.6 4 3.7 4.9 5 3.1 3.7 5 5 4.7 4.5 2.4 3.4 4.7 4.7 3.7 4.4 5 4.8 4.5 5 4.6 2.8 5 4.3 5 4.2 4.6 2.3 5 4.5 5 4 4.6 4.9 2.5 4.6 3.2 1.9 4.6 4.8 5 5 3.7 3.9 3.4 5 5 4.9 4.9…A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop. a. H0: μd = 0 versus H1: μd ≠ 0.b. H0: μd ≠ 0 versus H1: μd = 0. multiple choice a b Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532
- The personality characteristics of business leaders (e.g., CEOS) are related to the operations of the businesses that they lead (Oreg & Berson, 2018). Traits like openness to experience are related to positive financial outcomes and other traits are related to negative financial outcomes for their businesses. Suppose that a board of directors is interested in evaluating the personality of their leadership. Among a sample of n = 16 managers, the sample mean of the openness to experiences dimension of personality was M = 4.50. Assuming that u = 4.24 and o = 1.05 (Cobb-Clark & Schurer, 2012), use a two-tailed hypothesis test with a = .05 to test the hypothesis that this company's business leaders' openness to experience is different from the population. Standard Normal Distribution Mean - 0.0 Standard Deviation 1.0 .7198 .1401 .1401 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 -1.08 1.08 Step 1. Ho: ; H;: a = .05. Step 2. The critical region consists of Step 3. For these data the standard error is and…A grocery store manager wants to estimate the mean purchase total for all customers that shop at her store. To do so, she selects a random sample of 30 receipts from the large list of all receipts that are stored in the computer. Here is a dotplot of the results. The mean purchase total is $93.80 and the median purchase total is $75.80. The store manager investigates and learns that the customer that made a $500 purchase had not purchased groceries, but rather a $500 gift card. Because this customer’s purchase was not typical, the manager decides to exclude this total from the data set. How will removing the $500 purchase from the data set affect the value of the mean and the median? (A) The mean will decrease more than the median. (B) The mean will decrease less than the median. (C) The mean will stay the same, but the median will decrease. (D) The mean will increase more than the median. (E) The mean will increase, but not as much as the median.A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) (c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) (c-2) What is your conclusion? Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695…