Question

A leasing firm claims that the mean number of miles driven annually, H, in its leased cars is less than 13120 miles. A random sample of 80 cars leased from this firm had a mean of 12563 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 3200 miles. Is there support for the firm's claim at the 0.1 level of significance? Perform a one-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. H a P The null hypothesis: х S A The alternative hypothesis: DO - Os DO The type of test statistie: (Choose one) O O<O > The value of the test statistic: (Round to at least three decimal places.) X 5 ? The p-value: (Round to at least three decimal places.) 0

Answer 1

given = 1 a 563 T =3200 n ander nun hypother's tlo! ll< 13120 against altunative hypothesis tn 17 13120 The type of Test statistic is a statistic :: The test statistic (Z) = X-4 olm 2 = 12563-13120 32001550 -557 32001 urs S)-557 Soos -557 357.7709 -1.5568 Test statistic (Z) = -1.557 at 90.4. conficcance interval z-value is - 1.645

z cal< wabulated value p-value for leftfciiled test P = 1.56 p(?<-1.56) = 0.0594 .:pralucis=10.059 The nullhypothesis toi l <13120 The alternative hypothesis the el>, 13120 The type of Test statistic Z- test The value of the test statistic 12= 1.537 Tepevalue: P = 0.039