Question

# Height is a normally distributed human characteristic. In the United States, men's heights have mean 69.1...

Height is a normally distributed human characteristic. In the United States, men's heights have mean 69.1 inches and standard deviation 2.9 inches, while female's heights have mean 63.7 inches and standard deviation 2.7 inches.

Collect height data on a sample of n=3 men and n=3 women.

Complete the following for the sample of men and women separately:

1. List the raw data.
2. Transform each score into a standardized z-score.
3. Identify the percentile rank for each individual. Percentile rank is the percentage of scores in its frequency distribution that are equal to or lower than it. Thus, if someone is in the 90th percentile for height, they are taller than 90% of the population.

assume data for Men (69,71,75)

for women - (63,64,62)

z-score = (X - mean)/sd

 Men Women z-score z-score 69 -0.03448 63 -0.25926 71 0.655172 64 0.111111 75 2.034483 62 -0.62963

percetile = normsdist(z) in excel

 Men z-score percentile 69 -0.03448 0.4862 71 0.655172 0.7438 75 2.034483 0.9790 Women z-score percentile 63 -0.25926 0.3977 64 0.111111 0.5442 62 -0.62963 0.2645

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