B) choose on are z, T, Chi-Square, F

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 $1 months, It is known that the population standard deviation of the lifetimes is 5 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, ju, 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. Q Ho : 0 1x H :0 (b) Determine the type of test statistic to use. (Choose one) O-0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) DO 0 X (d) Find the p-value. (Round to three or more decimal places.) O (e) Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 52 months? Yes ONO