Question

A recent national survey found that high school students watched an average (mean) of 6.8 movies per month with a population standard deviation of 1.8. The distribution of number of movies watched per month follows the normal distribution. A random sample of 36 college students revealed that the mean number of movies watched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

Answer 1

Answer:

Step-by-step explanation:

Given that x = no of movies high school students watched is N(6.8, 1.8)

Sample size = 36 and hence std error = 1.8/6 = 0.3

$H_0: x bar = 6.8\\H_a: x bar < 6.8$

(two tailed test)

Mean difference = 6.2-6.8 = -0.6

Test statistic z = -0.6/0.3= -2

p value = 0.02275

Since p <0.05 we reject H0.

There is evidence to show that college students watch fewer movies a month than high school students