In a study of African American and Caucasian girls of ages 9 and 10 years, the girls

Question:

In a study of African American and Caucasian girls of ages 9 and 10 years, the girls recorded their diets in a diary for three days. The researcher then computed the daily salt intake. The of daily salt intakes for the African American girls has a mean of 3073 mg and a standard deviation of 1072 mg. The of daily salt intakes for the Caucasian girls has a mean of 2803 mg and a standard deviation of 833 mg. Assume the distributions of daily salt intakes for the African American girls and for the Caucasian girls are approximately normal.
a. Find the probability that a girl randomly selected from the African American girls had a daily salt intake of at least 3500 mg.
b. Find the probability that a girl randomly selected from the Caucasian girls had a daily salt intake of at least 3500 mg.
c. Refer to the given means and/or standard deviations to ex- plain why it makes sense that the result you found in part (a) is greater than the result you found in part (b). Distribution
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