Question

A random sample of 100 cable TV movies contained an average of 3.38 acts of physical violence per program. At the 99% level, what is your estimate of the population value? o X=3.38 o S=0.30 o N=100

Answer 1

Here we have : n = 100, = 3.38, s = 0.30 , confidence level = c= 0.99

Here we need to find, estimate of population value. Hence here we find confidence interval.

Here sample size is greater than 30. Hence here z confidence interval is used.

Hence 99% confidence interval is given by,

- E < <   + E

(    - E ,   + E )

Where,

c = 0.99,

Zc=

Hence the margin of error is given by,

= 0.08

Hence 99% confidence interval is given by,

( 3.38 - 0.08, 3.38 + 0.08 )

( 3.3 , 3.46 )

Interpretation : We are 99% confident that population mean lies between 3.3 and 3.46 .