Exhibit b in order to determine whether or not there is a significant difference between the hourly wages of two companies, two independent random samples were selected and the following statistics were calculated. company a company b sample size 80 60 sample mean $6.75 $6.25 population standard deviation $1.00 $0.95 refer to exhibit b. the value of the test statistic is

a. 2.75
b. 0.098
c. 3.01
d. 1.645

c. 3.01

Step-by-step explanation:

The test statistic for difference between two population mean (when population standard deviation is known) is given by :

, where = Size of first sample

= Size of second sample

= Difference between two sample mean.

= standard deviation for population 1.

= standard deviation for population 2.

As per given , we have

Substitute these values in formula , we get

Hence, the value of the test statistic is 3.01.

Hence, the correct option is c. 3.01 .

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2