The Smoky Bear Trucking Company claims that the average weight of a fully loaded moving van is no more than 12,000 lb. The highway patrol decides to check this claim. A random sample of 30 Smoky Bear moving vans shows that the average weight (X bar) is 12,200 lb. with a sample standard deviation (S) of 800 lb.

1. Write the null and alternate hypotheses for a statistical test to determine if there is evidence that the average weight of a Smoky Bear moving van is more than 12,000 lb.

2. Find the critical value of the t-statistic with a 10% level of significance. 

3. Find the t-test statistic from the sample data. 

4. Find the p-value.

5. State the conclusion reached by the Highway Patrol.