An elevator company claims that they're within safety limits because the average weight of Americans is 184.5 lbs. The building owner disputes this and takes a random sample of 60 people and finds a mean of 187.1 lbs and standard deviation of 16.5 lbs. Using a 0.05 significance level , test the hypothesis that Americans have a higher mean weight than the elevator company says. Please show work and steps to solve.

Show rejection regions with labelled critical value(s) Ho : H1: Critical Value(s): Test Statistic: [Must state what test stat is being used (z, t) the formula being used, and what values are substituted into the formula for full credit. Simply writing a number will not earn credit] P-Value: State the conclusion of the test in the context of the problem (for example, not just "reject null", but what does it mean for this specific problem)