BUSI 1013 Case Assignment

Unless otherwise specified, you should use 0,05 as the level of significance1. Consider this hypothesis test:H0: µ1 – µ2 = 0Ha: µ1 – µ2 < 0Here µ1 is the population mean of Population 1 and µ2 is the population mean of Population 2. Use the statistics summarized from a simple random sample of each of the two populations to complete the following: (12 Points)Population 1Population 2Sample Size ( n)5060Sample mean (xbar)24.525.9Sample standard deviation (s)5.437.21Compute the test statistic tCompute the degree of freedom for the test statistic tWhat is the rejection rule using the p-value approach and ?=0.05What is the p-value?Based on the rejection rule from c., what is your conclusion on the null hypothesis?Use the above data to construct a 95% confidence interval for the difference of the population meansNote that the population standard deviations are not known and therefore you cannot use the formula in Section 10.1. Use those in Section 10.2 instead.2. Responses from a customer satisfaction survey for two stores of a local hardware chain were recorded in the attached BUSI1013-2 Independent Samples A.xls file. These responses, in the form of a satisfaction score, are taken from a random sample of customers who shopped recently at the two stores and are recorded on the scale of 1 to 10. The chain wants to use this data to test the research (alternative) hypothesis that the mean satisfaction score for the two branches is not the same. The null hypothesis is that the mean satisfaction score for the two branches is the same (10 Points)What are the sample mean satisfaction score and the sample standard deviation for the two branches?Compute the test statistic t used to test the hypotheses.Compute the degree of freedom for the test statistic.Can the chain conclude that customer satisfaction level at the two stores is different? Use the critical-value approach and ?=0.05 to conduct the hypothesis test.Construct a 95% confidence interval for the difference of the satisfaction scores for the two stores.3. Use BUSI1013-Case.xls and the description of this file in Assignment 1 to answer this question. (4 Points for each part; 8 Points total)Perform a statistical test to see whether the average deposits of members before the pilot are different between the two regions.Construct a 95% confidence interval for the difference of the two regions in average loans of members before the pilot.4. Consider this hypothesis test:H0: µd = 0Ha: µd > 0Here µdis the mean difference of two measures in a population. Using the data collected from a simple random sample of the population to complete the following: (12 Points)Sample UnitMeasure 1Measure 2Difference115.619.23.6217.313.6-3.7316.214.3-1.9420.421.91.5517.319.72.4621.520.3-1.2715.417.21.8818.220.42.2922.829.871024.129.75.61124.826.31.5Sample Mean1.709Sample Standard Deviation3.135Compute the test statistic tCompute the degree of freedom for the test statistic tWhat is the rejection rule using the critical value approach and ?=0.05Based on the rejection rule from c., what is your conclusion on the hypothesesWhat is the p value?Use the above data to construct a 95% confidence interval for µd5. Use BUSI1013-Case.xls and the description of this file in Assignment 1 to answer this question. (4 Points for each part; 8 Points total)Perform a statistical test to see whether the average deposits of members have increased as a result of the pilotPerform a statistical test to see whether the average loans of members have increased as a result of the pilot6. In a completely randomized design, eight experimental units were used for each of the three levels of the factor. (3 Points for Part a, 1 Point for Part b, 2 Points for Part c, Total 6 Points)Source of VariationSum of SquaresDegrees of FreedomMean SquareFTreatment13456.87Error9456.56Total22913.43Complete the ANOVA table.Find the p-value of the F test statisticsUse the critical value approach and ?=0.05 to test whether or not the population means for the four levels of the factors are the same7. Use BUSI1013-Case.xls and the description of this file in Assignment 1 to answer this question. (4 Points for each part; 8 Points total)Perform a statistical test to see whether the average deposits of members after the pilot is the same among the five branches. You will need to re-format the data, i.e., create a column of data for each of the five branches if you use Excel Data Analysis Add-inPerform a statistical test to see whether the average increase in loans of members is the same among the five branches. (You need to create a new variable called average increase in loans. Also, if you use the Excel Data Analysis Add-in, you will need to re-format the data)