The Smoky Bear Trucking Company claims that average weight of fully loaded moving van is no more than 12,000 lb. Highway patrol make decision to check this claim. Random sample of 30 Smoky Bear moving vans illustrates that average weight (X bar) is 12,150 lb. With the sample standard deviation (S) of 800 lb.
a. Define the null and alternate hypotheses for the statistical test to find out if there is evidence that average weight of Smoky Bear moving van is more than 12,000 lb.
b. Determine the critical value of t-statistic with a 5% level of significance.
c. Determine the t-test statistic from sample data.
d. Determine the p-value.
e. Define the conclusion reached by Highway Patrol