"D" size batteries produced by MNM Corporation have had a life expectancy of 87 hours. Because of an improved production process, the company believes that there has been an INCREASE in the life expectancy of its D size batteries. A sample of 36 batteries showed an average life of 88.5 hours. Assume from past information that it is known that the standard deviation of the population is 9 hours
a. Use a .01 level of significance, and test to determine if there has been an increase in the life expectancy of the D size batteries.
b. What is the p-value associated with the sample results? What is your conclusion, based on the p-value?
a. H0: ? ? 87
Ha: ? > 87 z = 1; therefore do not reject H0 . There is not sufficient evidence at ? = .01 to conclude that there has been an increase in the life expectancy in the D size batteries.
b. p-value = 0.1587; therefore, do not reject H0 (same conclusion as part a)
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