Question: The data set lowbwt contains Information for a sample of 100 low birth weight infants born in two teaching hospitals in Boston, Massachusetts [81]. Measurements

The data set lowbwt contains Information for a sample of 100 low birth weight infants born in two teaching hospitals in Boston, Massachusetts [81]. Measurements of systolic blood pressure are saved under the variable name sbp and indicators of sex with 1 representing a male and 0 a female-under the name sex.

(a) Construct a histogram of systolic blood pressure measurements for this sample. Based on the graph, do you believe that blood pressure is approximately normally distributed?

(b) Test the null hypothesis that among low birth weight infants, the mean systolic blood pressure for boys is equal to the mean for girls. Use a two-sided test at the 0.

05 level of significance.

(c) What Is the p-value of this test? What does the p-value tell you?

(d) Do you reject or fall to reject the null hypothesis?

(e) What do you conclude?

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