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A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, H, of 25 years. To test the company's claim, a competitor has selected 43 of these batteries at random. The mean lifetime of the sample is 24.2 years. Suppose the population standard deviation of these lifetimes is known to be 4.2 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 25 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. Ho: 0 OSO H: 0 O20 O=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed

A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, H, of 25 years. To test the company's claim, a competitor has selected 43 of these batteries at random. The mean lifetime of the sample is 24.2 years. Suppose the population standard deviation of these lifetimes is known to be 4.2 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 25 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. Ho: 0 OSO H: 0 O20 O=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed

MATLAB: An Introduction with Applications
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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Question #3 please only answer (c)
A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 25 years. To test the company's claim, a competitor has selected 43 of these batteries at random. The mean lifetime of the sample is 24.2 years. Suppose the population standard deviation of these lifetimes is known to be 4.2 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 25 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 ロ<ロ OSO H: 0 O20 ロ=ロ ロロ (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by ユーx • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3 + Step 2: Enter the test statistic. (Round to 3 decimal places.)
Transcribed Image Text:A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 25 years. To test the company's claim, a competitor has selected 43 of these batteries at random. The mean lifetime of the sample is 24.2 years. Suppose the population standard deviation of these lifetimes is known to be 4.2 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 25 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 ロ<ロ OSO H: 0 O20 ロ=ロ ロロ (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by ユーx • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3 + Step 2: Enter the test statistic. (Round to 3 decimal places.)
Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the vest model of battery is 25 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 25 years. O Since the p-value is greater than the level of significance, 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 25 years. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 25 years.
Transcribed Image Text:Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the vest model of battery is 25 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 25 years. O Since the p-value is greater than the level of significance, 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 25 years. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 25 years.
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