Select a variable. Compare the mean of the variable for asample of 30 for one gr

Question

1. Select a variable. Compare the mean of the variable for asample of 30 for one group with the mean of the variable for asample of 30 for a second group. Show a hypothetical set ofdata with a hypothetical mean and standard deviation and show allcalculations for conducting a z test with these data.

1. Select a variable. Compare the mean of the variable for asample of 30 for one group with the mean of the variable for asample of 30 for a second group. Show a hypothetical set ofdata with a hypothetical mean and standard deviation and show allcalculations for conducting a z test with these data.

Explanation / Answer

H0: 1 = 2

Ha: 1 2

n1 = 30, xbar1 = 90, s1 =25

n2 = 30, xbar2 = 80, s2 =30

z = (xbar1 - xbar2) / ((s1)2/n1 +(s2)2/n2 )

= (90 - 80) / ( (25)2/30 + (30)2/30) = 1.4

|zcr |= 1.96 at = 0.05.

Since z=1.4<1.96, do not reject Ho.

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