Complete the problems below from the textbook. You will need to use the “Baseball 2012 Data,” “Buena School District Bus Data,” and the “Century National Bank Data” files for this assignment.
Chapter 11 â€“ Problem 14
Chapter 11 â€“ Problem 41
Chapter 11 â€“ Problem 48
Chapter 11 â€“ Problem 49
Chapter 12 Case A â€“ Century National Bank
For problems requiring computations, please ensure that your Excel file includes the associated cell computations and/or statistics output. This information is needed in order to receive full credit on these problems.
14. The null and alternate hypotheses are:H0: m1 # m2H1: m1 . m2 A random sample of 20 items from the first population showed a mean of 100 and a stan-dard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8. Use the .05 significant level.
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41. An investigation of the effectiveness of an antibacterial soap in reducing operating room con-tamination resulted in the accompanying table. The new soap was tested in a sample of eight operating rooms in the greater Seattle area during the last year. The following table reports the contamination levels before and after the use of the soap for each operating room.For DATA FILE, please visitwww.mhhe.com/lind16eFor DATA FILE, please visitwww.mhhe.com/lind16eFor DATA FILE, please visitwww.mhhe.com/lind16eRatingWith/Without Rating With/Without3 1 1 11 1 4 00 0 4 02 1 2 13 1 3 01 1 4 0 Operating Room A B C D E F G HBefore 6.6 6.5 9.0 10.3 11.2 8.1 6.3 11.6After 6.8 2.4 7.4 8.5 8.1 6.1 3.4 2.0 At the .05 significance level, can we conclude the contamination measurements are lower after use of the new soap?
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48. Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season. a. At the .05 significance level, can we conclude that there is a difference in the mean sal-ary of teams in the American League versus teams in the National League? b. At the .05 significance level, can we conclude that there is a difference in the mean home attendance of teams in the American League versus teams in the National League? c. Compute the mean and the standard deviation of the number of wins for the 10 teams with the highest salaries. Do the same for the 10 teams with the lowest salaries. At the .05 significance level, is there a difference in the mean number of wins for the two groups?
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49. Refer to the Buena School District bus data. Is there a difference in the mean maintenance cost for the diesel versus the gasoline buses? Use the .05 significance level.
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A. Century National BankRefer to the description of Century National Bank at the end of the Review of Chapters 1â€“4 on page 128. With many other options available, customers no lon-ger let their money sit in a checking account. For many years the mean checking balance has been $1,600. Do the sample data indicate that the mean account balance has declined from this value? Recent years have also seen an increase in the use of ATM machines. When Mr. Selig took over the bank, the mean number of transactions per month per customer was 8; now he believes it has increased to more than 10. In fact, the advertising agency that prepares TV commercials for Century would like to use this on the new commercial being designed. Is there sufficient evidence to conclude that the mean number of transactions per customer is more than 10 per month? Could the advertising agency say the mean is more than 9 per month? The bank has branch offices in four different cities: Cincinnati, Ohio; Atlanta, Georgia; Louisville, Kentucky; and Erie, Pennsylvania. Mr. Selig would like to know whether there is a difference in the mean checking account balances among the four branches. If there are differences, between which branches do these differences occur? Mr. Selig is also interested in the bankâ€s ATMs. Is there a difference in ATM use among the branches? Also, do cus-tomers who have debit cards tend to use ATMs differently from those who do not have debit cards? Is there a differ-ence in ATM use by those with checking accounts that pay interest versus those that do not? Prepare a report for Mr. Selig answering these questions.B. Bell Grove Medical CenterMs. Gene Dempsey manages the emergency care center at Bell Grove Medical Center. One of her responsibilities is to have enough nurses so that incoming patients needing ser-vice can be handled promptly. It is stressful for patients to wait a long time for emergency care even when their care needs are not life threatening. Ms. Dempsey gathered the following information regarding the number of patients over the last several weeks. The center is not open on week-ends. Does it appear that there are any differences in the number of patients served by the day of the week? If there are differences, which days seem to be the busiest? Write a brief report summarizing your findings.Date Day Patients9-29-06 Monday 389-30-06 Tuesday 2810-1-06 Wednesday 2810-2-06 Thursday 3010-3-06 Friday 3510-6-06 Monday 3510-7-06 Tuesday 2510-8-06 Wednesday 2210-9-06 Thursday 2110-10-06 Friday 3210-13-06 Monday 3710-14-06 Tuesday 2910-15-06 Wednesday 2710-16-06 Thursday 2810-17-06 Friday 3510-20-06 Monday 3710-21-06 Tuesday 2610-22-06 Wednesday 2810-23-06 Thursday 2310-24-06 Friday 33 A REVIEW OF CHAPTERS 10â€“12 425 3. The results of a one-way ANOVA are reported below. Use the .05 significance level. Answer the following questions.a. How many treatments are in the study?b. What is the total sample size?c. What is the critical value of F?d. Write out the null hypothesis and the alternate hypothesis.e. What is your decision regarding the null hypothesis? f. Can we conclude the treatment means differ? Horse and BuggyVariable Yellow Cab Cab CompanyMean miles 837 797Standard deviation 30 40Sample size 14 12ANOVASource of Variation SS df MS FBetween groups 6.892202 2 3.446101 4.960047Within groups 12.50589 18 0.694772 Total 19.3981 20 3. Assuming the null hypothesis is true, the likelihood of finding a value of the test statistic at least as extreme as the one found in the sample is called the . 3. 4. When conducting a test of hypothesis about a single population mean, the z distribution is used as the test statistic only when the is known. 4. 5. In a two-sample test of hypothesis for means, if the population standard deviations are not known, what must we assume about the shape of the populations? 5. 6. A value calculated from sample information used to determine whether to reject the null hypothesis is called the . 6. 7. In a two-tailed test, the rejection region is . (all in the upper tail, all in the lower tail, split evenly between the two tails, none of theseâ€”pick one) 7. 8. Which of the following is not a characteristic of the F distribution? (continuous, positively skewed, range from 2` to `, family of distributions) 8. 9. To perform a one-way ANOVA, the treatments must be . (independent, mutually exclusive, continuous) 9. 10. In a one-way ANOVA, there are four treatments and six observations in each treatment. What are the degrees of freedom for the F distribution? 10. Part 2â€”ProblemsFor problems 1 and 2, state the null and alternate hypotheses and the decision rule, make a decision regarding the null hypoth-esis, and interpret the result. 1. The Park Manager at Fort Fisher State Park in North Carolina believes the typical summer visitor spends more than 90 minutes in the park. A sample of 18 visitors during the months of June, July, and August revealed the mean time in the park for visitors was 96 minutes, with a standard deviation of 12 minutes. At the .01 significance level, is it reasonable to conclude the mean time in the park is greater than 90 minutes? 2. Is there a difference in the mean miles traveled per week by each of two taxicab companies operating in the Grand Strand area? The Sun News, the local paper, is investigating and obtained the following sample information. At the .05 signifi-cance level, is it reasonable to conclude there is a difference in the mean miles traveled? Assume equal population variances.Lin20522_ch12_379-425.indd Page 425 06/11/13 4:44 PM user-f-w-198 /201/MH02018/Lin20522_disk1of1/0078020522/Lin20522_pagefiles
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