The Smoky Bear Trucking Company claims the average weight of a fully loaded moving van is 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 is 12,100 lbs, with a standard deviation of 800 lbs. Construct a hypothesis test to determine whether the average weight of a Smoky Bear moving van is more that 12,000 lb. Us a 5% level of significance.
a. State the null and alternate hypothesis.
b. Identify the sampling distribution to be used (Normal, Student t, or binomial)
c. What is the critical value?
d. Decide whether to reject or not reject the null hypothesis at the given significance level.
e. Explain your conclusion is simple non-technical terms.