Use a calculator or computer software to generate a normal quantile plot for the data about the ages of actresses at the times they won a particular award in the accompanying table. Then determine whether the data come from a normally distributed population.

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Click the icon to view the data on the ages of actresses at the times they won a particular award.

Generate a normal quantile plot for the data. Choose the correct graph below.

A.

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A normal quantile plot has a horizontal axis labeled X Values from 0 to 100 in increments of 20 and a vertical axis labeled z score from negative 3 to 3 in increments of 1. A line rises from left to right and passes through (20, negative 1.2) and (60, 1.7). 40 points are plotted from in columns over horizontal coordinates and with vertical ranges as follows: 20, negative 2.2 to negative 1.4; 30, negative 1.2 to 0.2; 40, 0.2 to 0.8; 50, 0.9 to 1.2; 60, 1.4 to 1.8; 80, 2.2 to 2.2. The leftmost and rightmost columns' centers are below the line, and most of the columns' centers in the middle of the plot are above the line. All coordinates are approximate.

B.

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A normal quantile plot has a horizontal axis labeled X Values from 0 to 100 in increments of 20 and a vertical axis labeled z score from negative 3 to 3 in increments of 1. A line rises from left to right and passes through (20, negative 1.2) and (60, 1.8). 40 points are plotted from 20 to 80 and closely follow the pattern of a curve that rises at a decreasing rate from left to right through (21, negative 2.2) and (37, 0.3) to (79, 2.2). All of the points are within 0.5 vertical unit of the line, except (21, negative 2.2) and (79, 2.2) which are 1 vertical unit below the line. From left to right, the first 12 points are below the line, the next 24 points are above the line, and the next 4 points are below the line. All coordinates are approximate.

C.

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XValues

zscore

A normal quantile plot has a horizontal axis labeled X Values from 0 to 100 in increments of 20 and a vertical axis labeled z score from negative 3 to 3 in increments of 1. A line rises from left to right and passes through (20, negative 1.2) and (60, 1.8). 40 points are plotted from 6 to 70, with more points closer to the center of the range than to the edges of the range. Most of the points are within 0.1 vertical unit of the line. All values are approximate.

D.

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A normal quantile plot has a horizontal axis labeled X Values from 0 to 100 in increments of 20 and a vertical axis labeled z score from negative 3 to 3 in increments of 1. A line rises from left to right and passes through (20, negative 3.3) and (60, negative 0.3). 40 points are plotted from 20 to 80 and closely follow the pattern of a curve that rises at a decreasing rate from left to right through (21, negative 2.2) and (70, 0.3) to (79, 2.2). All of the points are within 0.5 vertical unit of the line, except (21, negative 2.2) and (79, 2.2) which are 1 vertical unit above the line. From left to right, the first 4 points are above the line, the next 24 points are below the line, and the next 12 points are above the line. All coordinates are approximate.

Determine whether the data come from a normally distributed population. Choose the correct answer below.

A.

The distribution is not normal. The points show a systematic pattern that is not astraight-line pattern.

B.

The distribution is normal. The points are reasonably close to a straight line.

C.

The distribution is not normal. The points are reasonably close to a straight line.

D.

The distribution is normal. The points show a systematic pattern that is not astraight-line pattern.