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Worker Fatigue. A study by M. Chen et al. titled "Heat Stress Evaluation and Worker Fatigue in a Steel Plant" (American Industrial Hygiene Association, Vol. 64, pp. 352-359) assessed fatigue in steel- plant workers due to heat stress. A random sample of 29 casting work- ers had a mean post-work heart rate of 78.3 beats per minute (bpm). At the 5% significance level, do the data provide sufficient evidence to conclude that the mean post-work heart rate for casting workers ex- ceeds the normal resting heart rate of 72 bpm? Assume that the popu- lation standard deviation of post-work heart rates for casting workers is 11.2 bpm. Perform one mean Z-test. a. Hypothesis: (5 points) b. Test statistic: (5 points) c. Critical-value: (4 points) d. P Value : (4 points) e. Hypothesis test conclusion and interpretation: (2 points)