Male Female 11 15 68 66 2.6 2.3

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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3. Biologists have theorized that male Monarch butterflies have, on
average, a larger thorax than do females. A sample of male and female
butterflies yielded the data at right. Use df = 22

a. Find a 95% confidence interval for the difference in the population
means. At 95% confidence, would you conclude that male thorax size
is different than female?

b. At α = .05 significance, use a t test (and find the P-value) to determine whether we should reject the hypothesis that H0: μmale = μfemale and accept the non-directional alternative HA: μmale ≠ μfemale.

c.

You should have found that we would not reject H0. How large would ts have needed to be for us to conclude that μmale ≠ μfemale?

Male Female
11
15
y
68
66
2.6
2.3
Transcribed Image Text:Male Female 11 15 y 68 66 2.6 2.3
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