The mean life-time of a cell phone battery has been 300 minutes. The quality con

Question

The mean life-time of a cell phone battery has been 300 minutes. The quality control division of the factory suspects defects in the production of the battery which results in a lower life for the product. A sample of 40 batteries was inspected and it was found that the average life time was 290 minutes with a standard deviation of 30. You want to test the claim of the quality control division at 99% level of confidence. Compute the p-value for this test. (NOTE: USE 4 DECIMAL DIGITS)

Explanation / Answer

Null Hypothesis (H0): H0: =300 Alternative hypothesis(H1): H1: is not equal 300 Level of significance: alpha=0.01 Given Data: sample mean 290 population mean 300 sd 30 samplesize 40 Test statistic: t cal= -2.11 P value=0.0415 Conclusion: P>0.01, we reject the H0. Hence claim is not significant

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