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According to a report done by S J Power the mean lifetime of the light...

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According to a report done by S J Power the mean lifetime of the light bulbs it manufactures is 51 months A researcher for a consumer advocate group tests this by selecting 38 bulbs at random For the bulbs in the sample the mean lifetime is 53 months It is known that the population standard deviation of the lifetimes is 5 months Assume that the population is normally distributed Can we conclude at the 0 10 level of significance that the population mean lifetime of light bulbs made by this manufacturer differs from 51 months Perform a two tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places and round your responses as specified below If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H Ho D H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places d Find the p value Round to three or more decimal places e Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 51 months O Yes O No H x X O X a SO P Q 00 20 O o E C 9

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