Question

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	21	7
2	34	36
3	0	7
4	60	56
5	20	54
6	61	61
7	40	27
8	7	7
9	14	7
10	94	100
11	1	0
12	67	56
13	76	67
14	21	54

Specimen	Direct	Stratified
15	34	27
16	0	0
17	36	36
18	16	14
19	94	94
20	1	14
21	40	47
22	21	21
23	0	0
24	7	14
25	14	40
26	16	14
27	40	76

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 μ_direct − μ_stratified. 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=

Answer 1

H0: μ1 = μ2 vs H1: μ1 ! = μ 2

t = -0. 48

P-Value = 0.632

DF = 51

P-Value(0.632) > alpha(0.05)

Therefore H0 is accepted.

Hence we conclude that the mean number of seeds detected doesn't differs for the two methods.

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You