(Solved): An effechcy manager is evaluating the cuality of sportswear manufactured by two brands - \( A \) an ...
An effechcy manager is evaluating the cuality of sportswear manufactured by two brands - \( A \) and \( B \). She wishes to tost whether the dillerence botween the mean number of fautity pleces sippon by the brands in each of their consigniments is zero or not. For this, the manager collects data from the two brands. Suppose that the mean number of fauly pleces supplied by the brands are indepencont of each othor. Let \( n \) denote the number of consignments for which the data was colected, \( \tilde{x} \) dencte the sample mean of the number of faulty pioces tuppled por consignment by each brand, and \( S \) denote the sample standard deviation in the number of taully pieces supplied per consignment by each brand. The given table shows the data collected. The manager's null hypothesin would be that the difference between the mean number of faully pieces suppled per consignment by brands \( A \) and \( B \) is The manager's allemative hypothesis would be that the difference between the mean number of faulty pleces supplied per consignment by brands \( A \) and \( B \) is The standard effoc of the diffarence between the sample means is: (Pound your answer to two decimal places.) The t-tatistic for testing the nul hypothess is (Round your answer to fwo decimal places)