In: Statistics and Probability
The price of all new editions of Huawei tablets is normally distributed with mean 1250 S.R.
and standard deviation 400 S.R. What is the probability that a sample of 100 tablets will have a sample mean that is more than 1300 S.R.?
Solution :
Given that ,
mean = 
 = 1250
standard deviation = 
 = 400
n = 100

= 1250

= 
 / 
n = 400 / 
100 =40
P(
 > 1300) = 1 - P(
<1300 )
= 1 - P[( 
- 
) / 
< (1300-1250) /40 ]
= 1 - P(z <1.25 )
Using z table
= 1 - 0.8944
= 0.1056
probability=0.1056