Question

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. *If needed, use <, <=, >, >= for less than, less than or equal to, greater than, greater than or equal to, respectively.

(a) 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.

(b) Find the critical value of the t-statistic with a 10% level of significance.

(c) Find the t-test statistic from the sample data.

(d) Find the p-value.

(e) State the conclusion reached by the Highway Patrol.

Answer 1