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A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. The Excel file Phone (posted) contains samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers’ lines. (1 point) Assuming the population variances from both offices are equal, is there evidence of a difference in the mean waiting time between the two offices? Use α = 0.05.What is the p-value?Assuming that the population variances from both offices are equal, construct a 95% confidence interval estimate of the difference between the population means in the two offices.A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures was launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot." A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad (i.e. if there is evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22) at a 0.01 level of significance. (1 point) What critical value should the company officials use to determine the rejection region?What is the lowest level of significance at which the null hypothesis can be rejected?At the 0.01 level of significance, can company officials conclude that the series of television advertisements are less successful than the typical ad?The lumen output was determined for each of c = 3 different brands of 60-Watt soft-white light bulbs, with 8 bulbs of each brand tested. The sums of squares were computed as SSW = 4773.3 and SSA = 591.2. Use the F test of ANOVA (assume α = 0.05) to decide whether or not there are any differences in true average lumen outputs between the three brands for this type of light bulb. (1 point)A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.A:1.2, 1.1, 0.9, 0.4C:1.0, 1.5, 1.1, 1.3B:2.5, 2.1, 1.9, 1.6D:0.8, 1.3, 1.1, 0.7What should be the decision for the Levene's test for homogeneity of variances at a 5% level of significance? (1 point)As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below. (1 point)TrialBarthTornadoReiserShaw143374143246384545343394246Construct the ANOVA table from the sample data. What would be the decision in this case, accept or reject the null hypothesis? Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking, and public transportation. Twenty randomly selected families in four major cities are asked to use their records to estimate a monthly figure for transportation cost. (1 point) Use the data obtained and one-way ANOVA to test whether there is a significant difference in monthly transportation costs for families living in these cities. Assume that α = 0.05. AtlantaNew YorkLos AngelesChicago$850$450$1050$7406807259006507505001150875800375980750875700800800Doing a multiple comparisons test on the data (α = 0.05), which pairs of cities, if any, have significantly different mean costs?How different are the rates of return of money market accounts and certificates of deposit that vary in length of their term? The data in the Excel MMCDRate contain these rates for banks in a suburban area. (2 points) At the 0.05 level of significance, determine whether there is evidence of a difference in the mean rates for these investments.If appropriate, us the Tukey procedure to determine which investments differ (use α = 0.05).A student team in a business statistics course performed a factorial experiment to investigate the time required for pain-relief tablets to dissolve in a glass of water. The two factors of interest were brand name (Equate, Kroger, or Alka-Seltzer) and water temperature (hot or cold). The experiment consisted of four replicates for each of the six factor combinations. The data are shown in the Excel file PainRelief, and show the time a tablet took to dissolve (in seconds) for the 24 tablets used in the experiment. (2 points)The null and alternative hypotheses would be:H0: There is no interaction between brand and water temperatureH1: There is an interaction between brand and water temperature At the 0.05 level of significance;Is there an interaction between brand of pain reliever and water temperature?Is there an effect due to brand?Is there an effect due to water temperature?Plot the mean dissolving time for each brand for each water temperature. Response Sheet for HW #1Student Name: No.Part What the question is asking forType Your Response in this Column1.a.Enter “Reject the null” or “Cannot reject the null”Cannot reject the nullb.p-value = 0.725c.Lower limit ≤ μ1 - μ2 ≤ upper limit-0.957 ≤ μ1 - μ2 ≤ 1.357 2.a.ZCRIT = -2.326b.p-value = 0.0135c.Enter “Reject the null” or “Cannot reject the null”Cannot reject the null3.Enter “Reject the null” or “Cannot reject the null”Cannot reject the null4.Enter “Reject the null” or “Cannot reject the null”Cannot reject the null5.Enter “Reject the null” or “Cannot reject the null”Reject the null6. a)Enter either; “There is a significant difference in monthly transportation costs for families living in these cities” OR“There is NO significant difference in monthly transportation costs for families living in these cities”.There is a significant difference in monthly transportation costs for families living in these citiesb) List which means are different, if any.Atlanta and New yorkNew York and ChicagoLosAngeles and Chicago7.a.Enter either; “Reject the null hypothesis. There is evidence of a difference in the mean rates for these investments.”OR“Cannot reject the null hypothesis. There is NO evidence of a difference in the mean rates for these investments.”Reject the null hypothesis. There is evidence of a difference in the mean rates for these investments.b.List which means are different, if any.Money Market and Two Year CDMoney Market and Five Year CDOne Year CD and Five Year CDTwo Year CD and Two Year CD8.a.Enter “Reject the null” or “Cannot reject the null”.Reject the nullb.Enter “It is inappropriate to analyze the main effect due to brand.”OR“It is appropriate to analyze the main effect due to brand.”It is appropriate to analyze the main effect due to brandc.Enter “It is inappropriate to analyze the main effect due to water temperature.”OR“It is appropriate to analyze the main effect due to water temperature.”It is appropriate to analyze the main effect due to water temperatured.Copy and paste your Minitab graph output (Individual Value Plot of TIME vs WATER, BRAND)Sorry but I can?t do this part ................
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