Question

A recent national survey found that high school students watched an average (mean) of 7.1 movies per month with a population standard deviation of 1.0. The distribution of number of movies watched per month follows the normal distribution. A random sample of 41 college students revealed that the mean number of movies watched last month was 6.6. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students

Answer 1

yes since p value = 0

Step-by-step explanation:

mean value for high school students (M) = 7.1

standard deviation = 1

sample size of college students ( n ) = 41

sample mean of college students ( X )= 6.6

applying the test statistic to determine the p value

= sample mean of college students ( X ) - M ( mean ) /
`(1)/(√(n) )`

= (6.6 - 7.1 ) (
`(1)/(√(41) )` )

= - 0.5 / 0.1561 = -3.20

therefore p value = 0 hence we can conclude