A marketing research firm wishes to compare the prices chargedby two supermarket chains—Miller’s and Albert’s. The research firm,using a standardized one-week shopping plan (grocery list), makesidentical purchases at 10 of each chain’s stores. The stores foreach chain are randomly selected, and all purchases are made duringa single week. It is found that the mean and the standard deviationof the shopping expenses at the 10 Miller’s stores arex1⎯⎯⎯⎯?=?$124.31x1¯?=?$124.31 and s1= 1.23. It is alsofound that the mean and the standard deviation of the shoppingexpenses at the 10 Albert’s stores arex2⎯⎯⎯⎯?=?$106.18x2¯?=?$106.18 and s2= 1.63.
(a) Calculate the value of the test statistic.(Do not round intermediate calculations.Round your answer to 2 decimal places.)
Test statistic        Â
(b) Calculate the critical value.(Round your answer to 2 decimal places.)
Critical value        Â
(c) At the 0.05 significance level, what it theconclusion?
