e number of calories for turkey burgers. The researcher will test the hypothesis H0: µ1 – µ2 – 20 = 0 versus Ha: µ1 – µ2 -20> 0 at a 5% level of significance. Assume that the number of calories in each type of burger is normally distributed and the population variances of the calories for the two types of burgers are equal but unknown. Calculate the test statistic: Find the critical value for the rejection region:
A researcher wishes to demonstrate that average number of calories in beef burgers exceeds the average number of calories in turkey burgers by more than 20. In order to test this hypothesis the researcher randomly selected 12 brands of beef burgers obtaining a sample mean value of 140.2 with a standard deviation of 12.4 calories. Independently of this sample the researcher obtained a sample of 9 brands of turkey burgers, obtaining a sample mean value of 114.6 calories with a standard deviation of 8.2 calories. Lets denote µ1 the average number of calories for the beef burgers and lets denote µ2 the average number of calories for turkey burgers. The researcher will test the hypothesis H0: µ1 – µ2 – 20 = 0 versus Ha: µ1 – µ2 -20> 0 at a 5% level of significance. Assume that the number of calories in each type of burger is normally distributed and the population variances of the calories for the two types of burgers are equal but unknown.
Calculate the test statistic:
Find the critical value for the rejection region:
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