A producer of various kinds of batteries has been producing D ...

[brutforce]

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]

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

[brutforce]

TYSM

[atrochim]

Gracias!