Question

For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means. a. each sample has n = 4 scores with s? = 68 for the first sample and s3 = 76 for the second.

Answer 1

To calculate the difference between two sample means, use the formula for the standard error of the difference: SE(difference) = sqrt[(s1^2/n1) + (s2^2/n2)]. In this case, the difference would be 102.0.

Step-by-step explanation:

To calculate the difference between two sample means, we can use the formula for the standard error of the difference:

SE(difference) = sqrt[(s1^2/n1) + (s2^2/n2)]

In this case, we have two samples with n1 = n2 = 4. The sample standard deviations are s1 = 68 and s2 = 76. Plugging in these values, we get:

SE(difference) = sqrt[(68^2/4) + (76^2/4)]

= sqrt[4624 + 5776]

= sqrt(10400)

= 102.0

Therefore, on average, we would expect a difference of 102.0 between the two sample means.