Question

A manufacturer of hard safety hats for construction workers is concerned about the mean and the variation of the forces helmets transmit to wearers when subjected to a standard external force. The manufacturer desires the mean force transmitted by helmets to be 800 pounds (or less), well under the legal 1000-pound limit, and ? to be less than 40. A random sample of n = 50 helmets was tested, and the sample mean and variance were found to be equal to 820 pounds and 2330 pounds2, respectively. (a) If ? = 800 and ? = 43, is it likely that any helmet, subjected to the standard external force, will transmit a force to a wearer in excess of 1000 pounds? Explain. (Use ? = 0.05.)

Answer 1

Pogo No. Data 49 2330 critica 66: 3326 ale xeject the nul hypheais