A recent national survey found that high school students watched an average (mean) of 6.7 movies per month with a population standard deviation of 0.8. The distribution of number of movies watched per month follows the normal distribution. A random sample of 40 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?

1. State the null hypothesis and the alternate hypothesis.
2. Select a level of significance
3. Identify the critical value
4. Formulate a decision rule
5. Compute the test statistic
6. Interpret the result