Author Question: A producer of various kinds of batteries has been producing D size batteries with a life expectancy ... (Read 181 times)

brutforce · **on:** Jun 24, 2018

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 = .01?
e. What is your conclusion based on the p-value using = .05?

Question 2

With systematic sampling,
a. the first element selected is a random choice.
b. every nth element is a random choice.
c. all elements in the sample are random choices.
d. there are no random choices.

tjayeee · **Reply #1 on:** Jun 24, 2018

Answer to Question 1

a. H0: < 87 hours
Ha: > 87 hours
b. 1.00
c. Since z = 1 < 2.33, do not reject H0
d. p-value = .1587 > .01; therefore do not reject H0 and conclude that there is insufficient evidence to support the management's belief.
e. p-value = .1587 > .05; therefore, do not reject H0; no evidence to support the management's belief using the 5 level of significance.

Answer to Question 2

a