Who are taller, pro football players or pro basketball players ...

Who are taller, pro football players or pro basketball players? A random sample 45 pro football players resulted in a mean height of x = 6.179 feet. A random sample 40 pro basketball players resulted in a mean height of y = 6.453 feet. It is recognized that the true standard deviation of pro football players heights is σx = 0.47 feet while it is recognized that the true standard deviation of pro basketball players heights is σy= 0.55 feet. The true (unknown) mean of football players heights is μx feet, while the true (unknown) mean of basketball players heights is μy feet.

Type

Sample Size

Sample Mean

Standard Deviation

Football (X)

45

6.179

0.47

Basketball (Y)

40

6.453

0.55

 f)Create a 94% confidence interval for μx - μy. ( , )
 

g) What is the length of your 94% confidence interval for μx - μy?  
 

h) If we used this data to test H0:μx - μy=0 against the alternative Ha:μx - μy < 0 then what would the value of the calculated test statistic z have been?  
 

i) If we used this data to test H0:μx - μy=0 against the alternative Ha:μx - μy<0 then what would the p value have been?  
 

j)If we used this data to test H0:μx - μy=0 against the alternative Ha:μx - μy ≠0 then what would the p value have been?