Mathematics

Fabian Pena

20 May, 02:59

In recent years the mean number of miles driven per year by residents of a particular state was 11,568. A researcher wishes to test, at the 5% level of significance, whether the mean is different now. In a random sample of 62 drivers, the mean and sample standard deviation of the number of miles driven last year were 10,822 and 1,741, respectively.

(a) The relevant hypotheses are

(a) H0 : µ = 11, 568 Vs Ha : µ ≠11, 568 (b) H0 : µ = 10,822 Vs Ha : µ ≠10,822 (c) H0 : X = 11, 568 Vs Ha : X ≠11, 568 (d) H0 : X = 10,822 Vs Ha : X ≠10,822

(b) The value of the test statistic is about

(a) - 3.345; (b) 3.376; (c) 3.345; (d) - 2.855; (e) - 3.376

(c) The rejection region is

(a) (-[infinity],-2]U[2,[infinity]) (b) (-[infinity],-2] (c) (-[infinity],-1.96]U[1.96,[infinity]) (d) (-[infinity],-1.96] (e) (-[infinity],-1.670]