A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation

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A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than 5 pounds. Do the data provide convincing evidence that the pediatrician’s claim is true? (Based on data from the National Health Statistics Reports.)

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