Question

A researcher wants to know the average height of American men over age 20. The researcher...

A researcher wants to know the average height of American men over age 20. The researcher measures the height of 784 men randomly selected from this age group and finds that their average height is 170 centimeters (cm) with a standard deviation of 8 cm. Construct a 95% CI of the average height of all American men in this age group (hint: we know the sample mean, and we are looking for likely values of the population mean).

A.

(167.397, 173.934)
B.

(170.001, 172.987)
C.

(168.534, 171.696)
D.

(169.429, 170.571)
Math   Statistics-And-Probability   
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Answer #1

We have given that,              
              
Sample mean =170      
Population standard deviation=8  
Sample size=784      
Level of significance =1-0.95=0.05      
Z critical value (by using Z table)=1.96      

D.

(169.429, 170.571)
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