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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 22 years. To test the company's claim, a competitor has selected 49 of these batteries at random. The mean lifetime of the sample is 22.6 years. Suppose the population standard deviation of these lifetimes is known to be 3.3 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 hypothesis H,: Ho: 0 H: 0 O

A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, H, of 22 years. To test the company's claim, a competitor has selected 49 of these batteries at random. The mean lifetime of the sample is 22.6 years. Suppose the population standard deviation of these lifetimes is known to be 3.3 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 hypothesis H,: Ho: 0 H: 0 O

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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A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, H, of 22 years. To test the company's claim, a competitor has selected 49 of these batteries at random. The mean lifetime of the sample is 22.6 years. Suppose the population standard deviation of these lifetimes is known to be 3.3 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 hypothesis H,. Ho: 0 O<O OSO D=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x-H • The value of the test statistic is given by • The p-value is two times the area under the curve to the right of the value of the test statistic. Normal Distribution Save For Later Submit Assignme Check 2021 McGraw-Hill Education All Rights Reserved. Terms of UseI Privacy I Accessib
Transcribed Image Text:A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, H, of 22 years. To test the company's claim, a competitor has selected 49 of these batteries at random. The mean lifetime of the sample is 22.6 years. Suppose the population standard deviation of these lifetimes is known to be 3.3 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 hypothesis H,. Ho: 0 O<O OSO D=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x-H • The value of the test statistic is given by • The p-value is two times the area under the curve to the right of the value of the test statistic. Normal Distribution Save For Later Submit Assignme Check 2021 McGraw-Hill Education All Rights Reserved. Terms of UseI Privacy I Accessib
Question 8 of 15 (1 point) Question Attempt: 1 of Unlimited • The p-value is two times the area under the curve to the right of the value of the test statistic, Normal Distribution 04 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.) 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 0.05 level of significance, about the claim made by the company. Save For Later Submit Assi Check |Privacy O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
Transcribed Image Text:Question 8 of 15 (1 point) Question Attempt: 1 of Unlimited • The p-value is two times the area under the curve to the right of the value of the test statistic, Normal Distribution 04 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.) 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 0.05 level of significance, about the claim made by the company. Save For Later Submit Assi Check |Privacy O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
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