In a random sample of 174 people the mean height was 68 inch
In a random sample of 174 people, the mean height was 68 inches. If the distribution curve is normal and the standard deviation is 2.7 inches.
A) what are the heights at +- 1s?
B) How many people fall between +- 1s?
C) How many people fall above z score of 1?
D) how many people are above a T score of 53?
Solution
A) what are the heights at +- 1s?
B) How many people fall between +- 1s?
C) How many people fall above z score of 1?
P(z> 1)= 0.1587, you only need to see z= 1 in the table of standard normal distribution
D) how many people are above a T score of 53?
mean : 68
standard deviation: 2.7
a) P=>53,
x=816 z= (53-68)/(2.7) =-5.5 so the probability P=>-5.5 is = 0.00004
sorry but I do not know the meaning of +- 1S, I hope I will help you if you send me the meaning of that
