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 thecompany'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 standarddeviation 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 ofsignificance.esc(a) State the null hypothesis Ho and the alternative hypothesis H₁.Ho: OH₁: 0Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedOTwo-tailedExplanationCheck$AH%5O<0 0≤0 0>0020(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 yourtest.• 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√nXX0=0 00S60.3+MacBook Pro&Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center78(Español9Accessibility escStep 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 enoughevidence 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 notenough 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 isenough evidence to reject the claim that the mean lifetime of the newest model of battery is 12 years.ExplanationO Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there isnot enough evidence to reject the claim that the mean lifetime of the newest model of battery is 12 years.Check$4%3MacBook Pro6&7S?一口留口AMⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac

Given Population mean μ=12, n=35, standard deviations σ=2.7, sample mean x̄=10.8 , level of…

Answered: A company that manufactures batteries…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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A company that runs a chain of quick oil change centers, tries to attract customers by claiming that it completes oil changes faster than its competition. So it periodically estimates the time taken to do oil changes at its centers. From historical records, the company knows that the population standard deviation of oil change duration is 15 minutes. Recently, 40 customers were asked how much time they spent getting an oil change at one of their centers. Based on the sample data, the chain concluded that the average oil change time for the population of all its customers was between 15 and 25 minutes. What was the confidence level at which the inference was made?
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A chain of restaurants has historically had a mean wait time of 5 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 5 minutes? 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 X 0° OO 20ם ローロ OO × 5 (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. 0.10 is the value that cuts off an area of 0.10 in the right tail. *-μ ⚫ The test statistic has a normal distribution and the value is given by z=- σ √n Standard Normal…
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