Homework SourseIn a certain data set of 1000 unemployed individuals the 30t
In a certain data set of 1,000 unemployed individuals, the 30th percentile of their unemployment check amounts is $200 and Qu=$215. About how many individuals had an unemployment check amounts above $215?
In a certain data set of 1,000 unemployed individuals, the 30th percentile of their unemployment check amounts is $200 and Qu=$215. About how many individuals had an unemployment check amounts above $215?
In a certain data set of 1,000 unemployed individuals, the 30th percentile of their unemployment check amounts is $200 and Qu=$215. About how many individuals had an unemployment check amounts above $215?
Solution
P ( Z < x ) = 0.3
Value of z to the cumulative probability of 0.3 from normal table is -0.524
P( x-u/s.d < 200 - 215/s.d ) = 0.3
That is, ( 200 - 215/s.d ) = -0.52
--> s.d = (200 - 215) / -0.52 = 28.84
For U = 215, S.D = 28.84, n=1000
P(X > 215) = (215-215)/28.84/ Sqrt ( 1000 )
= 0/0.912= 0
= P ( Z >0) From Standard Normal Table
= 0.5
