A manufacturer claims that the mean lifetime , u, of its bulbs is 52 months . The standard deviation of these lifetimes is 7 months...

A manufacturer claims that the mean lifetime, u, of its light bulbs is 52 months. The standard deviation of these lifetimes is 7 months. Eighty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 52 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H : O P EO D X S P The alternative hypothesis: H : V The type of test statistic: (Choose one) v 0=0 050 020 D: 0 The value of the test statistic: (Round to at least three decimal places.) X ? The p-value: (Round to at least three decimal places.) Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 52 Yes No months