Question: In each case below, two sets of data are given for a two-tail difference in means test. In each case, which version gives a smaller

In each case below, two sets of data are given for a two-tail difference in means test. In each case, which version gives a smaller p-value relative to the other?
(a) Both options have the same standard deviations and same sample sizes but:

    Option 1 has: X1 = 25 Option 2 has: X1 = 25 X2 = 23 X2 = 11

(b) Both options have the same means (xÌ…1 = 22, xÌ…2 = 17) and same sample sizes but:

Option 1 has: s1 = 15 Option 2 has: s1 = 3 S2 = 14 S2 = 4

(c) Both options have the same means (xÌ…1 = 22, xÌ…2 = 17) and same standard deviations but:

Option 1 has: X1 = 25 Option 2 has: X1 = 25

Option 1 has: X1 = 25 Option 2 has: X1 = 25 X2 = 23 X2 = 11 Option 1 has: s1 = 15 Option 2 has: s1 = 3 S2 = 14 S2 = 4

Step by Step Solution

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a All else being equal the farther apart the means are the more evidence there is for a difference i... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Statistics The Art and Science Questions!