Chapter 7 Assignment SOLUTIONS WOMEN:
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1 SOLUTIONS WOMEN:
2 MEN:
3 1a. For z -0.79: P (below) b. For z 1.46: P(above) c. For z 1.23: For z 1.65: P(between)
4 1d. For z 0.71: For z 0.97: P(above) P(total) For area below 0.47: z (closest area in table is ) 3. For area below 0.145: z 1.06 (closest area in table is ) Using symmetry, the positive z is: z , divide that equally between the two tails, therefore on each side.
5 Note: answer each of the questions below with respect to the data set YOU are using either the Men s or the Women s. You don t need to do both! 4. Does the STATDISK histogram indicate that a normal distribution could be used as a model for the variable? Yes (yes or no) List the mean : , (cm) List the standard deviation : , (cm) List your arm circumference: (cm) 4a. Minimum usual value 25.36, (cm) Maximum usual value 41.93, (cm) 4b. Based on the result in part a, would a man/woman with an arm circumference of 42 cm be considered unusual? Explain why or why not. YES, it would be unusual, because 42 cm is greater than the usual max value of cm. NO, it would NOT be unusual, because 42 cm is NOT greater than the usual max value of cm.
6 4c. z P(above) z P(above)
7 4d. z z P(between) z z P(between)
8 4e. For area below 0.40: z (closest area in table ) (-0.25)( ) cm For area below 0.40: z (closest area in table ) (-0.25)( ) cm
9 4f. For area below 0.20: z 0.84 (closest area in table ) (-0.84)( ) cm , divide that equally between the two tails, therefore 0.20 on each side. The symmetric z- score on the top half is 0.84: (0.84)( ) cm For area below 0.20: z 0.84 (closest area in table ) (-0.84)( ) cm The symmetric z- score on the top half is 0.84: (0.84)( ) cm
10 4g. Example: say a woman has an arm circumference of z Multiply by 100 to get to %. Therefore, her arm circumference is approximately the 81 st percentile. Calculate your z-score, and find the area below it from the table. The area below it will correspond to the percentile. See example to left. Guys, you need to use the men s mean and standard deviation. 4h. Unusual or not? Explain. Because this is a normal distribution, you can use either the Empirical Rule or the probabilities. Using the Empirical Rule, you already calculated the minimum and maximum usual values above. If your arm circumference is less than the minimum, or greater than the maximum, then it would be considered unusual. Using the probabilities rule, if your percentile is < 5% or > 95%, it would be considered unusual.
Chapter 7 Assignment SOLUTIONS WOMEN: Plus, add your pulse rate to the histogram.
Instructor: Linda C. Stephenson WOMEN: Plus, add your pulse rate to the histogram. Instructor: Linda C. Stephenson MEN: Plus, add your pulse rate to the histogram. 1a. For z = -1.17: P (below) = 0.1210
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