Questions: A random sample of male systolic blood pressure values is given below. Generate the normal quantile plot for this data set and determine whether or not the data come from a normally distributed population.
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Do the data appear to come from a normally distributed population?
A. Yes, but the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.
B. No, because the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.
C. No, but the points in the normal quantile plot lie reasonably close to a straight line and show some systematic pattern that is a straight line pattern.
D. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.
Transcript text: A random sample of male systolic blood pressure values is given below. Generate the normal quantile plot for this data set and determine whether or not the data come from a normally distributed population.
90
120
150
Do the data appear to come from a normally distributed population?
A. Yes, but the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.
B. No, because the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.
C. No, but the points in the normal quantile plot lie reasonably close to a straight line and show some systematic pattern that is a straight line pattern.
D. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.
Solution
Solution Steps
Step 1: Understanding the Problem
The problem requires us to determine if the data appears to come from a normally distributed population by analyzing the normal quantile plot provided.
Step 2: Analyzing the Normal Quantile Plot
The normal quantile plot (also known as a Q-Q plot) is used to assess if a data set follows a normal distribution. If the data points lie approximately along a straight line, the data is likely normally distributed.
Step 3: Interpreting the Plot
In the provided image, the plot on the right (option D) shows that the data points lie reasonably close to a straight line, indicating that the data likely comes from a normally distributed population.
Final Answer
D. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.