Question: Be sure to determine correctly whether the confidence intervals are calculated with the normal distribution or the t distribution. Off-season football players often participate in

Be sure to determine correctly whether the confidence intervals are calculated with the normal or the t football players often participate in community events and charity fundraisers. Suppose a firm is bidding to provide T-shirts for players who are representing the CFL in such events. The firm has randomly sampled CFL quarterbacks and running backs, with these results (based on data from the CFL website):
Quarter backs:n = 10 = 192.7 lb.s = 11.7 lb
Running backs:n = 9 = 199.7 lb.s = 11.8 lb
Construct a 95% confidence interval for the mean weight of both populations. Assuming that weight is a rough indicator of required T-shirt size, should the firm consider making separate sizes for quarterbacks and running backs? Explain.

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