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 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 H, and the alternativa hypothesis H1. OsO (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 testi • F0.05 os is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z- Standard Normal Distribution Step 1: Select one-talled or two-tailed. O Onestailend
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 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 H, and the alternativa hypothesis H1. OsO (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 testi • F0.05 os is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z- Standard Normal Distribution Step 1: Select one-talled or two-tailed. O Onestailend
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![mưoduction to nypoun
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 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 H, and the alternative. hypothesis H,.
Hg: I
OSO
H;: I
(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 testi
• 20.05 is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z=-
Vn
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
03
Explanation
Check
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Transcribed Image Text:mưoduction to nypoun
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 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 H, and the alternative. hypothesis H,.
Hg: I
OSO
H;: I
(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 testi
• 20.05 is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z=-
Vn
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
03
Explanation
Check
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![(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.
Z0.05 is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z=-
1 – x
Standard Normal Distribution
04
Step 1: Select one-tailed or two-taled.
O One-tailed
0.3+
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2+
0.1+
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 reiection reaion, the nulLhvpothesis is refected. So. there is enouah evidence
Explanation
Check
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V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4348eaaa-b5f7-402d-9c43-b3d0c460b81c%2Fb6d2845e-b7aa-406f-8704-4ef966943b2b%2Fa0e1une_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(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.
Z0.05 is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z=-
1 – x
Standard Normal Distribution
04
Step 1: Select one-tailed or two-taled.
O One-tailed
0.3+
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2+
0.1+
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 reiection reaion, the nulLhvpothesis is refected. So. there is enouah evidence
Explanation
Check
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