PRACTICE OF STATS - 1 TERM ACCESS CODE
PRACTICE OF STATS - 1 TERM ACCESS CODE
4th Edition
ISBN: 9781319403348
Author: BALDI
Publisher: Macmillan Higher Education
Question
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Chapter 27, Problem 27.43E
To determine

To explain do the data show that dead cicadas increase seed mass.

Expert Solution & Answer
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Answer to Problem 27.43E

The data do not show that dead cicadas increase seed mass.

Explanation of Solution

In the question, it is given the data for the seed masses produced by cicada-fertilized plants and undistributed control plants. Thus, to find if the data show that dead cicadas increase seed mass or not, then we will use the Wilcoxon rank sum test by using software. The hypotheses will be defined as:

Null hypothesis: There is no difference between them.

Alternative hypothesis: The dead cicadas increase seed masses than the control group.

Thus, the result for the test by using the software is as:

    Cicada plantsControl group
    0.2370.212
    0.1090.261
    0.2610.203
    0.2760.215
    0.2390.178
    0.2380.29
    0.2180.268
    0.3510.246
    0.3170.241
    0.1920.188
    0.2770.265
    0.2090.241
    0.2270.285
    0.2340.244
    0.2660.253
    0.210.19
    0.2630.145
    0.2450.263
    0.310.135
    0.2010.257
    0.2410.198
    0.2380.19
    0.1710.249
    0.2550.196
    0.2960.247
    0.2950.253
    0.3050.17
    0.2260.155
    0.2230.266
    0.2110.212
    0.1420.253
    0.2770.22
    0.2350.14
    0.296
    0.217
    0.193
    0.257
    0.276
    0.229
    LabelDataRank
    Cicada plants0.23734
    Cicada plants0.1091
    Cicada plants0.26152.5
    Cicada plants0.27660.5
    Cicada plants0.23937
    Cicada plants0.23835.5
    Cicada plants0.21826
    Cicada plants0.35172
    Cicada plants0.31771
    Cicada plants0.19213
    Cicada plants0.27762.5
    Cicada plants0.20919
    Cicada plants0.22730
    Cicada plants0.23432
    Cicada plants0.26657.5
    Cicada plants0.2120
    Cicada plants0.26354.5
    Cicada plants0.24542
    Cicada plants0.3170
    Cicada plants0.20117
    Cicada plants0.24139
    Cicada plants0.23835.5
    Cicada plants0.1718
    Cicada plants0.25549
    Cicada plants0.29667.5
    Cicada plants0.29566
    Cicada plants0.30569
    Cicada plants0.22629
    Cicada plants0.22328
    Cicada plants0.21121
    Cicada plants0.1424
    Cicada plants0.27762.5
    Cicada plants0.23533
    Cicada plants0.29667.5
    Cicada plants0.21725
    Cicada plants0.19314
    Cicada plants0.25750.5
    Cicada plants0.27660.5
    Cicada plants0.22931
    Control group0.21222.5
    Control group0.26152.5
    Control group0.20318
    Control group0.21524
    Control group0.1789
    Control group0.2965
    Control group0.26859
    Control group0.24643
    Control group0.24139
    Control group0.18810
    Control group0.26556
    Control group0.24139
    Control group0.28564
    Control group0.24441
    Control group0.25347
    Control group0.1911.5
    Control group0.1455
    Control group0.26354.5
    Control group0.1352
    Control group0.25750.5
    Control group0.19816
    Control group0.1911.5
    Control group0.24945
    Control group0.19615
    Control group0.24744
    Control group0.25347
    Control group0.177
    Control group0.1556
    Control group0.26657.5
    Control group0.21222.5
    Control group0.25347
    Control group0.2227
    Control group0.143
    n sum of ranks  
    391567 Cicada plants
    331061 Control group
    722628 total
    1423.50 expected value
    88.47 standard deviation
    1.62 z, corrected for ties
    .0530 p-value (one-tailed, upper)

As we know that if the P-value is less than or equal to the significance level then the null hypothesis is rejected, so we have,

  P>0.05Fail to Reject H0

Thus, we do not have the sufficient evidence to conclude that dead cicadas increase seed masses than the control group.

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