According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 52 months. A researcher for a consumer advocate group tests this by selecting 150 bulbs at random. For the bulbs in the sample, the mean lifetime is 51 months. It is known that the population standard deviation of the lifetimes is 7 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 52 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. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimals. c. Find the p-value. Round to three or more decimals. d. Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 52 months?
According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 52 months. A researcher for a consumer advocate group tests this by selecting 150 bulbs at random. For the bulbs in the sample, the mean lifetime is 51 months. It is known that the population standard deviation of the lifetimes is 7 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 52 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.
a. State the null hypothesis H0 and the alternative hypothesis H1.
b. Find the value of the test statistic. Round to three or more decimals.
c. Find the p-value. Round to three or more decimals.
d. Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 52 months?
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