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 6 2 32 38 3 0 6 4 60 58 5 20 52 6 61 61 7 40 26 8 6 6 9 12 6 10 92 100 11 1 0 12 66 58 13 78 66 14 21 52 Specimen Direct Stratified 15 32 26 16 0 0 17 38 38 18 18 12 19 92 92 20 1 12 21 40 46 22 21 21 23 0 0 24 6 12 25 12 40 26 18 12 27 40 78 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 ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Fail to reject H0. We do not have convincing evidence that the mean number of seeds detected differs for the two methods.Reject H0. We have convincing evidence that the mean number of seeds detected differs for the two methods. Fail to reject H0. We have convincing evidence that the mean number of seeds detected differs for the two methods.Reject H0. We do not have convincing evidence that the mean number of seeds detected differs for the two methods.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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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	6
2	32	38
3	0	6
4	60	58
5	20	52
6	61	61
7	40	26
8	6	6
9	12	6
10	92	100
11	1	0
12	66	58
13	78	66
14	21	52

Specimen	Direct	Stratified
15	32	26
16	0	0
17	38	38
18	18	12
19	92	92
20	1	12
21	40	46
22	21	21
23	0	0
24	6	12
25	12	40
26	18	12
27	40	78

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

? = 0.05.

(Use ?_direct − ?_stratified.)

Find the test statistic. (Round your answer to two decimal places.)

t =

Find the df. (Round your answer down to the nearest whole number.)

df =

Use technology to find the P-value. (Round your answer to four decimal places.)

P-value =

State your conclusion.

Fail to reject H₀. We do not have convincing evidence that the mean number of seeds detected differs for the two methods.Reject H₀. We have convincing evidence that the mean number of seeds detected differs for the two methods. Fail to reject H₀. We have convincing evidence that the mean number of seeds detected differs for the two methods.Reject H₀. We do not have convincing evidence that the mean number of seeds detected differs for the two methods.

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