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 20 years. To test the company's claim, a competitor has selected 39 of these batteries at random. The mean lifetime of the sample is 21.1 years. Suppose the population standard deviation of these lifetimes is known to be 4.1 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 20 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 O

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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 20 years. To test the
company's claim, a competitor has selected 39 of these batteries at random. The mean lifetime of the sample is 21.1 years. Suppose the population standard
deviation of these lifetimes is known to be 4.1 years.
Is there enough evidence to reject the claim that the mean lifetime of the newest model is 20 years? Perform a hypothesis test, using the 0.10 Jevel of
significance.
(a) State the null hypothesis H and the alternative hypothesis H,.
Ho: 0
O<O
OSO
H: 0
D=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 right of the value of the test statistic.
Explanation
Check
O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
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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 20 years. To test the company's claim, a competitor has selected 39 of these batteries at random. The mean lifetime of the sample is 21.1 years. Suppose the population standard deviation of these lifetimes is known to be 4.1 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 20 years? Perform a hypothesis test, using the 0.10 Jevel of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 O<O OSO H: 0 D=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 right of the value of the test statistic. Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
Normal Distribution
0.4
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 0.10 level of significance, about the claim made by the company.
O Ssince the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough
Explanation
Check
O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
Transcribed Image Text:Normal Distribution 0.4 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 0.10 level of significance, about the claim made by the company. O Ssince the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
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