4/5/22, 8:15 PM Assignment Print View 3. Award: 10.00 points A marketing research film wishes to compare the prices charged by two supermarket chains- Miller's and Albert's. The research firm, using a standardized one-wook shopping plan (grocery list), makes Identical purchases at 10 of each chain's stores. The stores for each chain are randomly selected, and all purchases are made during a single week. The shopping expenses obtained at the two chains, along with box plots of the expenses, are as follows: Miller's $118.20 $121.32 $122.34 $120.14 $122.16 $123.71 $121.72 $122.42 $123.63 $122.44 Albert's $111.99 $114.68 $115.11 $117.02 $116.89 $118.82 $116.38 $114.40 $113.91 $111.87 Click here for the Excel Data File 124 119 Expense 114 Albert Miller Market Because the stores In each sample are different stores In different chains, It Is reasonable to assume that the samples are Independent, and we assume that weekly expenses at each chain are normally distributed. Two-sample T for Millers vs Alberts Mean Stev BE Mean 10 121.82 1.40 0.44 Alberta 10 114.81 1.84 0.58 Difference = p(Millare)WAbarte) Estimate for difference: 7.10900 85% CI for difference:(5.57350, 8.64450) T-Test of diff = 0 (vs not =): T-Value = 9.73 P-Value = 0.000 DF = 18 Both use Pooled StDev = 1.8343 (b) Using the t statistic given on the output and critical values, test He versus H. by setting a equal to .10, .05, .01, and .001. How much evidence Is there that the mean weekly expenses at Miller's and Albert's differ? (Round your answer to 2 decimal places.) Reject Ho at a = but not at a = evidence, (c) Above figure gives the p-valus for testing He : I'm - JA =0 versus He : PM - JA #0. Use the p-value to test He versus He by setting a equal to .10, .06, 01, and .001. How much evidence Is there that the mean weekly expenses at Miler's and Albert's differ? https://ezto.mheducation.com/hm.tpx?todo=c15SinglePrintView&singleQuestionNo=3.&postSubmissionView=13252717855072617&wld=1325271908... 1/24/5/22, 8:15 PM Assignment Print View p-value = Rejec Ho at a = but not at a = evidence. (d-1) Above figure gives a 95 percent confidence interval for UM - JA. Use this confidence interval to describe the size of the difference between the mean weekly expenses at Miller's and Albert's. (Round your answers to 2 decimal places.) The mean weekly expenses differ between and (d-2) Do you think that these means differ in a practically important way? OProbably ONot probably (e) Set up the null and alternative hypotheses needed to attempt to establish that the mean weekly expense for the shopping plan at Miller's exceeds the mean weekly expense at Albert's by more than $5. Test the hypotheses at the .10. .05, .01, and .001 levels of significance. How much evidence is there that the mean weekly expense at Miller's exceeds that at Albert's by more than $5? (Round your answer sp- to 4 decimal places and t-value to 3 decimal places. HO: UM - HA versus Ha: UM - HA $2p = 2.6728 1= 2.886 Reject HO at a = but not at a = evidence. References Worksheet Difficulty: 3 Hard Learning Objective: 11-01 Compare two population means when the samples are independent. https://ezto.mheducation.com/hm.tpx?todo=c15SinglePrintView&singleQuestionNo=3.&postSubmissionView=13252717855072617&wid=1325271908... 2/2