Question

5. Two sets of juniors from the RCOB conduct surveys about willingness to pay for campus apartments. One group collects 31 surveys and finds a per-person average of $256, with standard deviation of $43. The other group collects 45 surveys and finds a per-person average of $258, with standard deviation of $23.

(a) Use a pooled test-statistic to test the two-sided hypothesis that the survey averages are equal.

Answer 1

i am denoting the two gropups by 1 and 2.

given data are:-

the pooled standard deviation be:-

hypothesis:-

[ claim ]

the test statistic be:-

df = = (31+45-2) = 74

the p value is :-

[ in any blank cell of excel type =T.DIST(-0.2627,74,TRUE)]

decision:-

p value = 0.7935 > 0.05 (alpha)

we fail to reject the null hypothesis. We can colclude that there is enough evidence that the survey averages are equal.

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