Problem 2

A study of children’s weights was conducted in Hong Kong.  A sample of forty children, each 68 inches tall, had a mean weight of 128.9 pounds and a standard deviation of 9.2 pounds.  Create a 96% confidence interval for the true mean weight of children in Hong Kong that are 68 inches tall.  A Chinese researcher claims that the average child in Hong Kong is under weight.  If the cut off weight for being underweight (at 68 inches tall) is 122 pounds, does this interval provide any evidence to contradict the claim that children in Hong Kong are under weight?