A producer of various kinds of batteries has been producing "D" size batteries with a life expectancy of 87 hours. Due to an improved production process, management believes that there has been an increase in the life expectancy of their "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. Give the null and the alternative hypotheses.
b. Compute the test statistic.
c. At 99% confidence using the critical value approach, test management's belief.
d. What is the p-value associated with the sample results? What is your conclusion based on the p-value?
a. Ho: ? < 87
Ha: ? > 87
b. 1.00
c. Since Z = 1 < 2.33, do not reject Ho and conclude that there is insufficient evidence to support the corporation's claim.
d. p-value > 0.1587; therefore do not reject Ho
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