# A recent national survey found that high school students watched an average (mean) of 7.7 movies per month with a population standard deviation of 0.7. The distribution of number of movies watched per month follows the normal distribution. A random sample of 31 college students revealed that the mean number of movies watched last month was 6.7. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?a) State the decision rule.b) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Question
136 views

A recent national survey found that high school students watched an average (mean) of 7.7 movies per month with a population standard deviation of 0.7. The distribution of number of movies watched per month follows the normal distribution. A random sample of 31 college students revealed that the mean number of movies watched last month was 6.7. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

a) State the decision rule.

b) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

check_circle

Step 1

Given information:

Sample mean = 6.7

Population standard deviation = 0.7

Sample size (n) = 31

Significance level = 0.05

Step 2

The college student watches fewer movies a month than higher than high school students. So, the hypotheses are as:

Step 3

The above hypothesis condition is a one tailed or left tailed test and it is a type normal distribution.

Now, the Z-critical value fr...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in