Suppose that a data set contains the heights of 147 randomly selected women, and

Question

Suppose that a data set contains the heights of 147 randomly selected women, and heights of women are normally distributed. If a histogram of the 147 heights in the data set was constructed, what shape would the histogram be expected to have? If a normal quantile plot of those same heights was constructed, what pattern would be expected in the graph? If a histogram of the 147 heights in the data set was constructed, what shape would the histogram be expected to have? A. The histogram should be skewed to the left. B. The histogram should be approximately bell-shaped. C. The histogram should be skewed to the right. D. The histogram should have a flat shape. If a normal quantile plot of those same heights was constructed, what pattern would be expected in the graph? A. The normal quantile plot should show points that are not close to a straight line. B. The normal quantile plot should show points that are reasonably close to a straight-line pattern. C. The normal quantile plot should show points that all lie exactly on the same line. D. The normal quantile plot should show points that have a systemic pattern that is not a straight line.

Explanation / Answer

Q1.

If a histogram of the 147 heights in the data set was constructed, what shape ....

Answer is Option B, because as we increase the sample size, the data is approximately normal and 147 is a large sample size.

Q2.

Answer is Option C

Tje normal quantile plot should show points that all lie exactly on the same line

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