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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 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard deviation of these lifetimes is known to be 2.7 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁: 0 μ 0<0 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 020 X Oso 0=0 0>O S (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 20.05 is the value that cuts off an area of 0.05 in the right tail. x-μ . The test statistic has a normal distribution and the value is given by z= a 03+ 1 Accessibility

A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, H, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard deviation of these lifetimes is known to be 2.7 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁: 0 μ 0<0 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 020 X Oso 0=0 0>O S (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 20.05 is the value that cuts off an area of 0.05 in the right tail. x-μ . The test statistic has a normal distribution and the value is given by z= a 03+ 1 Accessibility

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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Introduction to hypothesis tests for the population mean using... A company that manufactures batteries used, in electric cars is reporting that their newest model of battery has a mean lifetime, μ, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard deviation of these lifetimes is known to be 2.7 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of significance. esc (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁: 0 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Explanation Check $ A H % 5 O<0 0≤0 0>0 020 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. • 20.05 is the value that cuts off an area of 0.05 in the right tail. x-1 . The test statistic has a normal distribution and the value is given by z = 0 √n X X 0=0 00 S 6 0.3+ MacBook Pro & Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 7 8 (Español 9 Accessibility
Transcribed Image Text:Introduction to hypothesis tests for the population mean using... A company that manufactures batteries used, in electric cars is reporting that their newest model of battery has a mean lifetime, μ, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard deviation of these lifetimes is known to be 2.7 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of significance. esc (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁: 0 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Explanation Check $ A H % 5 O<0 0≤0 0>0 020 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. • 20.05 is the value that cuts off an area of 0.05 in the right tail. x-1 . The test statistic has a normal distribution and the value is given by z = 0 √n X X 0=0 00 S 6 0.3+ MacBook Pro & Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 7 8 (Español 9 Accessibility
esc 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 0.10 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 12 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 of battery is 12 years. 0.1- O Since the value of the test statistic doesn't lie 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 12 years. Explanation O Since the value of the test statistic doesn't lie 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 of battery is 12 years. Check $ 4 % 3 MacBook Pro 6 & 7 S ?一口留 口 A M Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac
Transcribed Image Text:esc 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 0.10 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 12 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 of battery is 12 years. 0.1- O Since the value of the test statistic doesn't lie 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 12 years. Explanation O Since the value of the test statistic doesn't lie 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 of battery is 12 years. Check $ 4 % 3 MacBook Pro 6 & 7 S ?一口留 口 A M Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac
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