Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens.
Specimen | Direct | Stratified |
---|---|---|
1 | 22 | 6 |
2 | 31 | 39 |
3 | 0 | 6 |
4 | 60 | 59 |
5 | 20 | 51 |
6 | 62 | 62 |
7 | 40 | 26 |
8 | 6 | 6 |
9 | 11 | 6 |
10 | 91 | 100 |
11 | 2 | 0 |
12 | 66 | 59 |
13 | 79 | 66 |
14 | 22 | 51 |
Specimen | Direct | Stratified |
---|---|---|
15 | 31 | 26 |
16 | 0 | 0 |
17 | 39 | 39 |
18 | 19 | 11 |
19 | 91 | 91 |
20 | 2 | 11 |
21 | 40 | 46 |
22 | 22 | 22 |
23 | 0 | 0 |
24 | 6 | 11 |
25 | 11 | 40 |
26 | 19 | 11 |
27 | 40 | 79 |
Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using
α = 0.05.
(Use a statistical computer package to calculate the P-value. Use μdirect − μstratified. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
t=df=P-value =
p value = 0.0054
p value<0.05
so, the mean number of seeds detected differs for the two methods
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