When sage crickets mate, the male allows the female to eat part of his hind wing

Question

When sage crickets mate, the male allows the female to eat part of his hind wings. The primary research question is: do starved females attempt mating more or less quickly than normally fed females? One group of 11 was starved for two days, and the other group of 13 was fed normally. Each female was presented with a male and the time to mating (in hours) was recorded.

Starved: 1.9, 2.1, 3.8, 9.0, 9.6, 13.0, 14.7, 17.9, 21.7, 29.0, 72.3

Fed: 1.5, 1.7, 2.4, 3.6, 5.7, 22.6, 22.8, 39.0, 54.4, 72.1, 73.6, 79.5, 88.9

Conduct the Mann-Whitney Test and find the p-value

Explanation / Answer

Claim : To test whether the starved females attempt mating more or less quickly than normally fed females or not .

Hypothesis : Ho: the starved females and normally fed females attempt mating equally.

                     H1: the starved females and normally fed females attempt mating not equally.

by using minitab we can compute the MAnn whitney Test as ,

Put all the data in minitab worksheet --------> Click on Stats -----------> Non-parametric ---------> Mann-Whitney -->

Gives ranges of first and second sample -------> Confidence level = 0.95 ---------> Alternative : not equal --------> Ok

OUTPUT OF MINITAB :

MTB > Mann-Whitney 95.0 C1 C2;
SUBC>   Alternative 0.

Mann-Whitney Test and CI: C1, C2

     N Median
C1 11   13.00
C2 13   22.80

Point estimate for ETA1-ETA2 is -9.80
95.1 Percent CI for ETA1-ETA2 is (-51.90,7.31)
W = 121.0
Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.3539

we get test statistic : W = 121

Pvalue = 0.3539

Decesion Rule : pvalue > alpha then fail to reject Ho

Conclusion : There is insufficient evidence to conclude that , the starved females attempt mating more or less quickly than normally fed females

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