1a.) One sample has n = 17 with SS = 1646, and a second sample has n = 17 with S
ID: 3258257 • Letter: 1
Question
1a.) One sample has n = 17 with SS = 1646, and a second sample has n = 17 with SS = 1710. (a) Find the pooled variance for the two samples. (Use/round to 2 decimal places.) Pooled variance = ______________
1b.) Compute the estimated standard error for the sample mean difference. (Use/round to 3 decimal places.) Estimated standard error = ___________
1c.) If the sample mean difference is 6 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a two-tailed test at the 0.10 level? (Use/round to 3 decimal places.)
t-critical = ± __________ t = __________
1d.) What is the decision regarding the null? Accept the null or reject it? Write "accept" or "reject" in the blank. __________
1e.) Calculate the percentage of variance accounted for (r2) to measure the effect size for an 6-point mean difference (Use/round to 3 decimal places). r2 = _____________
1f.) What size is the effect? Write "small", "medium", or "large" in the blank. __________
Explanation / Answer
a) pooled variance = (SS1 + SS2)/(n1+n2-2) =(1646+1710)/32=104.875
b) Estimated standard error = sp *sqrt(1/n1 + 1/n2)
= sqrt(104.875*(2/17))=3.51258242524
c) TS = (difference in sample mean)/Estimated standard error = 6 /3.51258242524 =1.70814496961
df = n1+n2 -2 = 32
for a two-tailed test at the 0.10 level
t-critical = 1.694
t= 1.70814496961
d) since t > t-critical
we reject the null
According to chegg policy ,we have to answer 1 question or minimum 4 sub-parts
which i solved , so ask remaing question again
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