Three popular fast-food restaurant franchises specializing in burgers were surveyed to find out the number calories in their most frequently ordered burgers. Use a 0.05 significance level and follow the steps of the P-Value Method outlined below to test the claim that there is a difference in the mean number of calories per burger. Number of Calories in a Burger Restaurant 1 970 880 840 710 Restaurant 2 1010 970 920 850 820 Restaurant 3 740 540 510 510
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- The manager of a computer software company wishes to study the number of hours per week senior executives by type of industry spend at their desktop computers. The manager selected a sample of five executives from each of three industries. At the 0.05 significance level, can she conclude there is a difference in the mean number of hours spent per week by industry? Banking Retail Insurance 12 8 10 10 8 8 10 6 6 12 8 8 10 10 10A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are in Table below. Using a 5% significance level, test the hypothesis that the three mean commuting mileages are the same. working-class professional (middle incomes) professional (wealthy) 17.8 16.5 8.5 26.7 17.4 6.3 49.4 22.0 4.6 9.4 7.4 12.6 65.4 9.4 11.0 47.1 2.1 28.6 19.5 6.4 15.4 51.2 13.9 9.3A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 15 male employees yielded the following weekly salaries (in dollars). Female Male 495 722 518 760 562 904 556 880 1150 904 520 805 520 500 480 1005 1250 970 743 750 605 660 1640 Use a 0.01 significance level to test the claim that the mean salary of female employees is less than the mean salary of male employees.
- On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…The accompanying table lists heights (in inches) of randomly selected fathers and their first sons. Use a 0.05 significance level to test the claim that there is no difference in heights between fathers and their first sons. HeightofFatherHeightofSon69.468.071.471.368.870.569.071.571.072.965.367.767.264.670.370.266.969.568.271.361.564.968.669.969.571.374.074.871.367.968.170.872.773.471.873.573.873.271.177.471.573.469.867.169.667.569.368.667.167.966.066.969.570.768.070.966.170.065.165.268.865.672.071.672.169.568.770.765.267.071.871.971.574.172.272.570.573.870.769.468.565.467.469.871.373.869.171.669.072.170.069.573.071.169.169.569.570.469.173.267.369.168.772.467.368.769.269.076273210/30/21, 12:18 AM Heightshttps://www.mathxl.com/Student/PlayerTest.aspx?testId=230138677 2/276.2 73.265.4 69.969.1 78.170.5 72.468.3 72.268.5 71.169.3 71.864.2 65.168.4 69.768.3 71.070.7 69.667.2 71.671.7 72.065.3 69.766.1 70.665.4 71.370.7 69.866.9 69.770.1 70.364.9 70.164.0 70.3 In this example, μd…A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is INDEPENDENT of the area of the country. The results of the study are shown in the table below. Conduct a test of INDEPENDENCE. (Use a significance level of 0.05.) Type of Fries Northeast South Central West skinny fries 70 50 19 24 curly fries 100 59 16 30 steak fries 21 41 9 9
- In order to investigate a claim that the average time required for the county fire department to respond to a reported fire is greater than 15 minutes, county staff determined the response times for 40 randomly selected fire reports. The data was used to test H0H0: μ = 15 versus HaHa: μ > 15 and the computed P‐value was 0.12. If a 0.05 level of significance is used, what conclusions can be drawn? There is convincing evidence that the mean response time is 15 minutes (or less). There is convincing evidence that the mean response time is greater than 15 minutes. There is not convincing evidence that the mean response time is greater than 15 minutes.A standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results: t-test: Two-Sample Assuming Equal Variances Old Curriculum New Curriculum Mean 75.31914894 65.65957447 Variance 118.613321 801.1424607 Obervations 47 47 Hypothesized Mean Difference 0 df 92 t Stat 2.183587807 P(T<=t) one-tail 0.015768226 t Critical one-tail 1.661585397 P(T<=t) two-tail 0.031536452 t Critical two-tail…A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?
- A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance. Analysis of Variance Source SS df MS F p Factor 31.00 3 10.33 5.44 0.008 Error 32.34 17 1.90 Total 63.34 20 a. What are the null and alternate hypotheses? H0: H1: b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis? e. Interpret the result.A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.05 level of significance. Analysis of Variance Source df SS MS F p Factor 3 39.56 13.19 9.77 0.001 Error 15 20.26 1.35 Total 18 59.82 a. What are the null and alternate hypotheses? b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis? e. Interpret the result.A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.05 level of significance. Analysis of Variance Source df SS MS F p Factor 3 39.56 13.19 9.77 0.001 Error 15 20.26 1.35 Total 18 59.82 b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.)