There has been a concern regarding the weight schoolchildren carry in their backpacks. Data has been collected from a random sample of 120 middle school children. For this sample, the mean weight of the backpacks is 13.80 lb and the standard deviation is 5.05 lb. a)  Find a 95% confidence interval for the true mean weight of backpacks. b) Orthopedic surgeons recommend caring no more than 10 lb in a backpack. Based on the confidence interval you calculated in part (a), would the parents be concerned about this matter?

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There has been a concern regarding the weight schoolchildren carry in their backpacks. Data has been collected from a random sample of 120 middle school children. For this sample, the mean weight of the backpacks is 13.80 lb and the standard deviation is 5.05 lb.

a)  Find a 95% confidence interval for the true mean weight of backpacks.

b) Orthopedic surgeons recommend caring no more than 10 lb in a backpack. Based on the confidence interval you calculated in part (a), would the parents be concerned about this matter?

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