A company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 days with a standard deviation of 50 days under normal conditions. A quality control officer randomly selected 45 batteries from the production line and tested the longevity period of these batteries. It is found that the tested batteries had a mean life span of 260 days. Does the study support the claim of the CEO that the average lasting time of a battery is less than 270 days? Test it at 5% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Но : д 3 260 Н, :д < 260 Ho : µ + 270 Hị : µ= 270 Но : и 3 270 Н :д> 270 Ho : µ = 270 Hị :µ< 270

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c. After conducting the appropriate significance test, the test statistic was found to be -1.34.
Therefore, the conclusion for the test is:
Reject Ho, because p-value is less than 0.05
Fail to reject H1, because -1.34 falls outside the critical region
Reject Ho, because -1.34 falls within the critical region
Fail to reject Ho, because p-value is greater than 0.05
Transcribed Image Text:c. After conducting the appropriate significance test, the test statistic was found to be -1.34. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.05 Fail to reject H1, because -1.34 falls outside the critical region Reject Ho, because -1.34 falls within the critical region Fail to reject Ho, because p-value is greater than 0.05
A company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 days
with a standard deviation of 50 days under normal conditions. A quality control officer randomly selected 45 batteries from the production line and
tested the longevity period of these batteries. It is found that the tested batteries had a mean life span of 260 days. Does the study support the claim of
the CEO that the average lasting time of a battery is less than 270 days? Test it at 5% level of significance.
a. Which of the following statistical tests is most appropriate in this scenario?
O Two-Tailed Z-Test
One-Tailed Z-Test
Two-Tailed T-Test
One-Tailed T-Test
b. What are the appropriate hypotheses for the test?
Ho : µ = 260 Hị : µ < 260
Ho : µ + 270 H : µ = 270
Но : и — 270 Н, : р > 270
Но : и — 270 Н, : р < 270
O O O o
Transcribed Image Text:A company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 days with a standard deviation of 50 days under normal conditions. A quality control officer randomly selected 45 batteries from the production line and tested the longevity period of these batteries. It is found that the tested batteries had a mean life span of 260 days. Does the study support the claim of the CEO that the average lasting time of a battery is less than 270 days? Test it at 5% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? O Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 260 Hị : µ < 260 Ho : µ + 270 H : µ = 270 Но : и — 270 Н, : р > 270 Но : и — 270 Н, : р < 270 O O O o
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