Male butterflies sometimes court females of other species with similar wing patt

Question

Male butterflies sometimes court females of other species with similar wing patterns. You are interested in how long males persist in courting the wrong female. You decide to test each male with a dead female, to control for the effect of the female’s behavior. You use three types of test females: one from the same species as the males, one from a different species with a similar wing pattern, and one from a different species with a different wing pattern. Each pair is placed in a cage, and you measure courtship time in seconds.

#1 Female of same species: 23, 20, 17, 25, 28

#2 Female of different species, similar pattern: 18, 27, 24, 21

#3 Female of different species, different pattern: 22, 21, 23, 20

a. Which statistical test would you use to look for differences?

b. Perform the test. What is your test statistic? Can you reject your null hypothesis?

c. Give a biological reason why your test may have come out the way it did.

Explanation / Answer

Answer:

Based on the given information:

a. Which statistical test would you use to look for differences?

b. Perform the test. What is your test statistic? Can you reject your null hypothesis?

The F-ratio value is 0.12612. The p-value is 0.88288. The result is not significant at p < .05.

c. Give a biological reason why your test may have come out the way it did.

Treatments 1 2 3 Total N 5 4 4 13 X 113 90 86 289 Mean 22.6 22.5 21.5 22.2308 X2 2627 2070 1854 6551 Std.Dev. 4.2778 3.873 1.291 3.2443

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