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

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