Question
A company claims that the average battery life of its rechargeable battery is 18 hours. A random sample of
40 batteries gives a mean life of 17.2 hours with a standard deviation of 2.5 hours. Using a 5%
significance level, test the manufacturer's claim. (4 Marks)
Clearly state the following while answering:
Null and alternative hypotheses,
Test statistic,
Conclusion.
(f) Explain the concepts of significance level, Type-I error, Type-II error and p-value. Also, compare the ztest and t-test, and discuss the situations in which each test should be applied.
Answer :
Word Count : 468
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Skip in 10
A company claims that the average battery life of its rechargeable battery is 18 hours. A random sample of 40 batteries has a sample mean of 17.2 hours and a sample standard deviation of 2.5 hours. The test is conducted at a 5% significance level. Since the sample size is relatively large ((n=40)), the z-test for the population mean can be used. The hypotheses are: [ H_0:\mu=18 ] [ H_1:\mu\neq18 ] Here, (H_0) represents the manufacturer’s claim, while (H_1) indicates that the true average battery life is different from 18 hours. Since the alternative
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