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]

516

Step-by-step explanation:

You should check the 561 with 6591

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.