EBK MODERN BUSINESS STATISTICS WITH MIC
5th Edition
ISBN: 9780100475038
Author: williams
Publisher: YUZU
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Chapter 13.5, Problem 30E
To determine
Test whether there is any significant effect due to type of design, size of advertisement, or interaction effects at
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The following results are from an independent-measures, two-factor study with n=5 participants in each treatment condition. Use a two-factor ANOVA with α=.05 to evaluate the main effects and the interaction.
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Test the hypothesis that there is no significant difference between the study habits and academic performance using a 0.05 level of significance.
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(�1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(�2). To test this statement, NASCAR took a random sample of 235235 of the new racecar engines and 190190 of the old engines. They found that 2424 of the new racecar engines and 1111 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1�=0.1 for the test.
Chapter 13 Solutions
EBK MODERN BUSINESS STATISTICS WITH MIC
Ch. 13.2 - 1. The following data are from a completely...Ch. 13.2 - 2. In a completely randomized design, seven...Ch. 13.2 - 3. Refer to exercise 2.
what hypotheses are...Ch. 13.2 - Prob. 4ECh. 13.2 - 5. In a completely randomized design, 12...Ch. 13.2 - Prob. 6ECh. 13.2 - 7. Three different methods for assembling a...Ch. 13.2 - Prob. 8ECh. 13.2 - 9. To study the effect of temperature on yield in...Ch. 13.2 - Prob. 10E
Ch. 13.2 - Four different paints are advertised as having the...Ch. 13.2 - Restaurant Satisfaction. The Consumer Reports...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - Prob. 14ECh. 13.3 - Testing Chemical Processes. To test whether the...Ch. 13.3 - Prob. 16ECh. 13.3 - Marketing Ethics. In the digital age of marketing,...Ch. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Minor league Baseball Attendance. The...Ch. 13.4 - Consider the experimental results for the...Ch. 13.4 - Prob. 22ECh. 13.4 - 23. An experiment has been conducted for four...Ch. 13.4 - Prob. 24ECh. 13.4 - The price drivers pay for gasoline often varies a...Ch. 13.4 - SAT Performance. The Scholastic Aptitude Test...Ch. 13.4 - A study reported in the Journal of the American...Ch. 13.5 - A factorial experiment involving two levels of...Ch. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Amusement Park Queues. An amusement park studied...Ch. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13 - Prob. 36SECh. 13 - Prob. 37SECh. 13 - Assembly Methods. Three different assembly methods...Ch. 13 - In a study conducted to investigate browsing...Ch. 13 - Fuel Efficiency of Gasoline Brands. A research...Ch. 13 - Prob. 41SECh. 13 - Prob. 42SECh. 13 - Prob. 43SECh. 13 - Prob. 44SECh. 13 - CASE PROBLEM 1: WENTWORTH MEDICAL CENTER As part...Ch. 13 - CASE PROBLEM 2: COMPENSATION FOR SALES...
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- In a study of the effectiveness of a fabric device that acts like a support stocking for a weak or damaged heart, 110 people who consented to treatment were assigned at random to either a standard treatment consisting of drugs or the experimental treatment that consisted of drugs plus surgery to install the stocking. After two years, 30% of the 60 patients receiving the stocking had improved and 24% of the patients receiving the standard treatment had improved. (Use a statistical computer package to calculate the P-value. Use pexperimental − pstandard. Round your test statistic to two decimal places and your P-value to four decimal places.) z = ? P = ?arrow_forwardThe manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 215215 of the new racecar engines and 240240 of the old engines. They found that 2222 of the new racecar engines and 1010 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1α=0.1 for the test. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.arrow_forwardThe manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 125125 of the new racecar engines and 135135 of the old engines. They found that 88 of the new racecar engines and 55 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.05α=0.05 for the test. Step 5 of 6 : Find the P-value for the hypothesis test. Round your answer to four decimal places.arrow_forward
- Curing diabetes: Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent study, 82 patients with Type 2 diabetes underwent this procedure, and 59 of them experienced a recovery from diabetes. Does this study provide convincing evidence that less than 76% of those with diabetes who undergo this surgery will recover from diabetes? Use the a = 0.05 level of significance and the P-value method with the TI-84 Plus calculator. State the appropriate null and alternate hypotheses. Compute the -value. Round the answer to at least four decimal places. Determine whether to reject H0 State a conclusion.arrow_forwardA consumer advocacy group wanted to study whether different airline carriers differed in terms of their delayed flights. In particular, the researchers were interested in the relationship between p1, the proportion of Alpha Airlines flights that were delayed at least 15 minutes, and p2, the proportion of Beta Airlines flights that were delayed at least 15 minutes. A random sample of 1,000 Alpha flights and a separate random sample of 1,000 Beta flights found that 67 of the Alpha fights and 160 of the Beta flights were delayed at least 15 minutes. The conditions for inference were checked and verified. Does this set of samples provide strong evidence that Alpha Airlines has a smaller proportion of flights that are delayed at least 15 minutes than Beta Airlines, at the α = 0.05 significance level? Find the z-table here. A. The test statistic is z = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed…arrow_forwardA study was performed on 200 elementary school students to investigate whether regular Vitamin A supplementation was effective in preventing colds during the month of March. 100 were randomized to receive daily Vitamin A supplements during the month of March, and 100 students were randomized to a placebo group (and did not receive Vitamin A) during the same month. The number of students getting at least one cold in March was computed in the two groups, and the results are given in the following 2 X 2 table. Using a 5% level of significance determine whether there is an association between Vitamin A supplementation and prevention of Common Cold ColdNo Cold Vitamin A1585100 Placebo2575100 40160200arrow_forward
- A study, which randomly surveyed 3,700 households and drew on this information from the IRS, found that 79% of households have conducted at least one IRA rollover from an employer-sponsored retirement plan. Suppose a recent random sample of 90 households in a certain county was taken and respondents were asked whether they had ever funded an IRA account with a rollover from an employer-sponsored retirement plan. Based on the sample data below, can you conclude at the 0.10 level of significance that the proportion of households in the county that have funded an IRA with a rollover is different from the proportion for all households reported in the study? 77 respondents said they had funded an account; 13 respondents said they had notarrow_forwardThe manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 165165 of the new racecar engines and 145145 of the old engines. They found that 1818 of the new racecar engines and 1212 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01α=0.01 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6: Find the vales of the two sample proportions P1 and P2.Round your answers three decimal places. Step 3 of 6: Compute the weighted estimate p. p(line above). Round your answers to three decimal places. Step 4 of 6: Compute the value of the test statistic. Round your answer to two…arrow_forward. A randomized study was performed to determine whether a diet of processed meats causes a higher proportion of incidents of breast cancer. Researchers compared high intake versus low intake diets of processed meats for women with breast cancer and found the following results shown in the two-way table below: Breast Cancer No Breast Cancer Total High Intake processed meat 93 157 250 Low Intake processed meat 67 163 230 Conduct a hypothesis test for this problem, using for the proportion with a diet high in processed meat who got breast cancer and for the proportion of women with a diet low in processed meat who got breast cancer State the hypotheses. State sample statistic. Find the p-value. Write a generic conclusion. Write a conclusion in context. If we compute a randomization statistic and assume the null hypothesis is true, what does that mean in the context of this problem? Where would the…arrow_forward
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