Select a variable. Compare the mean of the variable for asample of 10 for one gr
ID: 2950464 • Letter: S
Question
- 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.
- 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.