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. 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 the 1% level of significance 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
using α = .01?
e.
What is your conclusion based on the p-value
using α = .05?