The average weekly hours worked by production workers in the US manufacturing sector was recently reported to be 40.2 (source: bls.gov). You suspect that the average in the local area is higher. You take a random sample of 50 production workers from local manufacturing companies and find that the average workweek in the sample is 41.3 hours. Can we use this sample result to make the case that the average workweek in local manufacturing firms is longer than the reported national average of 40.2 hours? State the appropriate decision rule in hours. Use a significance level of 1% and a population standard deviation of 4.8 hours. (Show the null hypothesis as H₀: μ < 40.2 hours and the alternative as H_a: μ < 40.2.)