Reference no: EM132529126

For a study on childhood obesity, the researchers wanted to compare the weights of girls and boys aged 12-14. For this purpose, 100 girls and 100 boys were selected randomly and the average weight of boys (¯ ) was 60 where the average weight of girls (¯ ) was 40 for these samples. From a previous study, it is known that the variances for the boys' weights is 64 where the variance for the girls' weights is 100. a. Previous study found that the boys weighed 5 pounds more than the girls did on average. Assuming this finding is true, define the sampling distribution of ¯ - ¯ . b. Test whether the previous study's finding about the mean difference is true or not. Carefully list all the steps you followed when conducting the hypothesis test and sketch your findings. c. Find a 95% confidence interval for the difference in true means using the sample data. d. Does the hypothesis test or the confidence interval give you more information? Why?