Select a variable. Compare the mean of the variable for asample of 10 for one gr

Question

1. Select a variable. Compare the mean of the variable for asample of 10 for one group with the mean of the variable for asample of 10 for a second group. Show a hypothetical set of datawith a hypothetical mean and standard deviation and show allcalculations for conducting a t test with these data.

1. Select a variable. Compare the mean of the variable for asample of 10 for one group with the mean of the variable for asample of 10 for a second group. Show a hypothetical set of datawith a hypothetical mean and standard deviation and show allcalculations for conducting a t test with these data.

Explanation / Answer

H0: 1 = 2

Ha: 1 2

n1 = 10, xbar1 = 100, s1 =9

n2 = 10, xbar2 = 80, s2 =8

s = [ ( (n1-1)(s1)2 +(n2-1)(s2)2 ) /(n1+n2-2) ] = [ ( 9(9)2 +9(8)2 ) / 18 ] = 8.51

t = (xbar1 - xbar2) / s(1/n1 + 1/n2 ) = (100 - 80) / 8.51(1/10 + 1/10 ) = 5.26

|tcr |= 2.101 at = 0.05 with df=18.

Since t=5.25>2.101, reject Ho.

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