A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, u, 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 13.1 years. Suppose the population standard deviation of these lifetimes is known to be 3.8 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 nll hypothesis Ho and the alternative hypothesis H,. H: | ? (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 right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-talled or two-tailed. O One-taled

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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, 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 13.1 years. Suppose the population standard
deviation of these lifetimes is known to be 3.8 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 H, and the alternative hypothesis H.
OSO
H:
?
(b) Perform a Z-test and find the p-value.
Here
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 right of the value of the test statistic.
Standard Normal Distribution
Step 1: Select one-tailed or two-taled.
O One-taled
Explanation
Check
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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, 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 13.1 years. Suppose the population standard deviation of these lifetimes is known to be 3.8 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 H, and the alternative hypothesis H. OSO H: ? (b) Perform a Z-test and find the p-value. Here 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 right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-taled. O One-taled Explanation Check o2021 McGraw HI Education, All Rights Reserved Terms of Use Privacy Accessibilty MacBook Air esc 888 F3 411 ww. %23 %24 & 2. 3 6. 8 de R Y ock A D F G H K C V alt H alt ol option command command option
Introduction to hypothesis tests for the population mean using..
(b) Perform a Zz-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 right of the value of the test statistic.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-talled
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.)
Explanation
Check
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Transcribed Image Text:Introduction to hypothesis tests for the population mean using.. (b) Perform a Zz-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 right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-talled 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.) Explanation Check ©2021 McGraw HI Education. Al Rights Reserved Terms of Use I Privacy I Accessibility MacBook Air * esc F7 %23 24 & 3 4 6. 8 9 Q E R T Y U A F G K C alt ion command command option B.
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