NeverReady batteries has engin

NeverReady batteries has engineered a newer, longer lasting AAAbattery. The company claims this battery has an average life spanof 19 hours with a standard deviation of 0.7 hours. Your statisticsclass questions this claim. As a class, you randomly select 30batteries and find that the sample mean life span is 18.6 hours. Ifthe process is working properly, what is the probability of gettinga random sample of 30 batteries in which the sample mean lifetimeis 18.6 hours or less? Is the company’s claim reasonable? (Roundyour probability to four decimal places.)

Answer:

µ = 19

sd = 0.7

n = 30

                            

                            = P(Z > -3.13)

                            = 1 – P(Z < -3.13)

                            = 1 – 0.0009

                            = 0.9991


 
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