Women’s Heights Assume that college women’s heights are approximately Normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. On the horizontal axis of the graph, indicate the heights that correspond to the z -scores provided. (See the labeling in Exercise 6.14.) Use only the Empirical Rule to choose your answers. Sixty inches is 5 feet, and 72 inches is 6 feet. a. Roughly what percentage of women’s heights are greater than 72.5 inches? i. almost all ii. 75% iii. 50% iv. 25% v. about 0% b. Roughly what percentage of women’s heights are between 60 and 70 inches? i. almost al ii. 95% iii. 68% iv. 34% v. about 0% c. Roughly what percentage of women’s heights are between 65 and 67.5 inches? i. almost all ii. 95% iii. 68% iv. 34% v. about 0% d. Roughly what percentage of women’s heights are between 62.5 and 67.5 inches? i. almost all ii. 95% iii. 68% iv. 34% v. about 0% e. Roughly what percentage of women’s heights are less than 57.5 inches? i. almost all ii. 95% iii. 68% iv. 34% v. about 0% f. Roughly what percentage of women’s heights are between 65 and 70 inches? i. almost all ii. 95% iii. 47.5% iv. 34% v. 2.5%
Women’s Heights Assume that college women’s heights are approximately Normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. On the horizontal axis of the graph, indicate the heights that correspond to the z -scores provided. (See the labeling in Exercise 6.14.) Use only the Empirical Rule to choose your answers. Sixty inches is 5 feet, and 72 inches is 6 feet. a. Roughly what percentage of women’s heights are greater than 72.5 inches? i. almost all ii. 75% iii. 50% iv. 25% v. about 0% b. Roughly what percentage of women’s heights are between 60 and 70 inches? i. almost al ii. 95% iii. 68% iv. 34% v. about 0% c. Roughly what percentage of women’s heights are between 65 and 67.5 inches? i. almost all ii. 95% iii. 68% iv. 34% v. about 0% d. Roughly what percentage of women’s heights are between 62.5 and 67.5 inches? i. almost all ii. 95% iii. 68% iv. 34% v. about 0% e. Roughly what percentage of women’s heights are less than 57.5 inches? i. almost all ii. 95% iii. 68% iv. 34% v. about 0% f. Roughly what percentage of women’s heights are between 65 and 70 inches? i. almost all ii. 95% iii. 47.5% iv. 34% v. 2.5%
Women’s Heights Assume that college women’s heights are approximately Normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. On the horizontal axis of the graph, indicate the heights that correspond to the
z
-scores provided. (See the labeling in Exercise 6.14.) Use only the Empirical Rule to choose your answers. Sixty inches is 5 feet, and 72 inches is 6 feet.
a. Roughly what percentage of women’s heights are greater than 72.5 inches?
i. almost all
ii. 75%
iii. 50%
iv. 25%
v. about 0%
b. Roughly what percentage of women’s heights are between 60 and 70 inches?
i. almost al
ii. 95%
iii. 68%
iv. 34%
v. about 0%
c. Roughly what percentage of women’s heights are between 65 and 67.5 inches?
i. almost all
ii. 95%
iii. 68%
iv. 34%
v. about 0%
d. Roughly what percentage of women’s heights are between 62.5 and 67.5 inches?
i. almost all
ii. 95%
iii. 68%
iv. 34%
v. about 0%
e. Roughly what percentage of women’s heights are less than 57.5 inches?
i. almost all
ii. 95%
iii. 68%
iv. 34%
v. about 0%
f. Roughly what percentage of women’s heights are between 65 and 70 inches?
i. almost all
ii. 95%
iii. 47.5%
iv. 34%
v. 2.5%
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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