Respuesta :
Answer:
Z-score for 6 feet tall Women=2.96.
Z-score for 6 feet tall Men=0.96.
In a simple language z-score for men and women are telling us that height of 6 feet women is greater than other women in the population while the height of 6 feet men is not much varies to the other men in the population.
Step-by-step explanation:
Z-score for 6 feet tall Women
Z=(observed X-mean)/standard deviation
Mean=64 inches
Standard deviation=2.7 inches
X=6 feet
First we have to convert 6 feet into inches because mean and standard deviation are given in inches.
1 feet=12 inches
6 feet=12*6 inches=72 inches
X=72 inches
So,
Z=(72-64)/2.7
Z=8/2.7
Z=2.96 (rounded to two decimal places).
Z-score for 6 feet tall Men
Z=(observed X-mean)/standard deviation
Mean=69.3 inches
Standard deviation=2.8 inches
First we have to convert 6 feet into inches because mean and standard deviation are given in inches.
1 feet=12 inches
6 feet=12*6 inches=72 inches
So,
Z=(72-69.3)/2.8
Z=2.7/2.8
Z=0.96 (rounded to two decimal places).
The Z-scores tells us how the heights of the men and women who are 6 feet tall varies from the other individuals in the population.
The z-score for women 2.96 describes that a women that is 6 feet tall has much greater height than the other women as z-score lies 2.96 standard deviation above the mean.
The z-score for men 0.96 describes that a women that is 6 feet tall hasn't much greater height than the other men as z-score lies 0.96 standard deviation above the mean.
So, in a simple language z-score for men and women are telling us that height of 6 feet women is greater than other women in the population while the height of 6 feet men is not much varies to the other men in the population.
