A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, U. of 22 years. To test the company's claim, a competitor has selected 48 of these batteries at random. The mean lifetime of the sample is 21.3 years. Suppose the population standard deviation of these lifetimes is known to be 3.4 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 22 years? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypathesis H. H 0 OsO O>O H: 0 ? (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some ather information to help you with your test. • 20ns is the value that cuts off an area of 0.025 in the right tail. The test statistic has a normal distribution and the value is given by = = Standard Normal Distribution Step 1: Select ane-lalad or two-tailed. O One-lailed O Tmo tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model af battery is 22 years. O Since the value of the test statistic doesn't lie in the rejection region, the nul hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years. O ince the value of the test statistic doesn't le in the rejection region, the null hypathesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years.
A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, U. of 22 years. To test the company's claim, a competitor has selected 48 of these batteries at random. The mean lifetime of the sample is 21.3 years. Suppose the population standard deviation of these lifetimes is known to be 3.4 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 22 years? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypathesis H. H 0 OsO O>O H: 0 ? (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some ather information to help you with your test. • 20ns is the value that cuts off an area of 0.025 in the right tail. The test statistic has a normal distribution and the value is given by = = Standard Normal Distribution Step 1: Select ane-lalad or two-tailed. O One-lailed O Tmo tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model af battery is 22 years. O Since the value of the test statistic doesn't lie in the rejection region, the nul hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years. O ince the value of the test statistic doesn't le in the rejection region, the null hypathesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, U. of 22 years. To test the
company's claim, a competitor has selected 48 of these batteries at random. The mean lifetime of the sample is 21.3 years. Suppose the population standard
deviation of these lifetimes is known to be 3.4 years.
Is there enough evidence to reject the claim that the mean lifetime of the newest model is 22 years? Perform a hypothesis test, using the 0.05 level of
significance.
(a) State the null hypothesis H, and the alternative hypathesis H.
H 0
OsO O>O
H: 0
?
(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some ather information to help you with your
test.
• 20ns is the value that cuts off an area of 0.025 in the right tail.
The test statistic has a normal distribution and the value is given by = =
Standard Normal Distribution
Step 1: Select ane-lalad or two-tailed.
O One-lailed
O Tmo tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough
evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not
enough evidence to reject the claim that the mean lifetime of the newest model af battery is 22 years.
O Since the value of the test statistic doesn't lie in the rejection region, the nul hypothesis is rejected. So, there is
enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years.
O ince the value of the test statistic doesn't le in the rejection region, the null hypathesis is not rejected. So, there is
not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 22 years.
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