Share
Explore BrainMass

T-Test for Mean Lifetime of its Lithium Batteries is 1400 Hours

There will be at least one question of this type on my final exam tomorrow and I need a logical way to approach the solution.

Question: A Manufacturer claims that the mean lifetime of its Lithium batteries is 1400 hours. A homeowner select s 25 of these batteries and finds the mean lifetime to be 1380 hours with a standard deviation of 80 hours. Test the manufacturers claim. Use alpha = 0.05.
Round the test statistic to the nearest thousandth.

A) State your hypothesis: I believe it s Ho: mean = 1400 and H1: mean <1400

B) Calculate your test statistic.

C) Use either the p-value or classical approach to determine whether to reject or not.
(Explain and show all you steps)
I would like to see how to use both methods but especially the classical approach

D) Use appropriate language to state your conclusion.

Thank you,
Allan Cook

Solution Preview

Hypothesis testing
There will be at least one question of this type on my final exam tomorrow and I need a logical way to approach the solution.
Question: A Manufacturer claims that the mean lifetime of its Lithium batteries is 1400 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1380 hours with a standard deviation of 80 hours. Test the manufacturers claim. Use alpha = 0.05. Round the test statistic to the nearest thousandth.

A) State your hypothesis: I ...

Solution Summary

This solution includes a detailed explanation for one sample t test. Concepts covered in this posting involve: null and alternative hypotheses, level of significance, P-value, t test statistics, decisions about rejecting or not rejecting the null hypothesis.

$2.19