A researcher wants

to

compare two methods (Method

1 and Method 2) for teaching mathematics

to

third grade

students in order to determine which method works best. The researcher selects a

sample of third grade students of

size 20 (N

= 20) in order to test the research hypothesis (alternative hypothesis) that there is a

difference in the

ability

of the two methods for teaching mathematics to third grade students (either Method

1 works best

or

Method

2 works best).

The

researcher randomly assigns 10 of the students to

be taught

mathematics using Method 1 and

10 of the students to be

taught mathematics using Method 2 for their

third grade

year. At the end of the year, the

researcher administers

a standardized test of mathematics to

each student

(high

numbers indicate a better

understanding of mathematics). The data

are listed below. The researcher wants to

maximize power for this

statistical test.

M1: 86,

96, 88, 92, 90, 91, 89, 93, 87, 98

M2: 79,

92, 80, 90, 86, 89, 81, 91, 80, 92