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[All Steps] QUESTION: To study the effect of shell color on the internal temperature of snails, brown and yellow shells of about the same size were matched.

QUESTION: To study the effect of shell color on the internal temperature of snails, brown and yellow shells of about the same size were matched. The shells were filled with mercury, kept at the same level of illumination, and the temperature was measured. (a) Test the hypothesis that there was no difference in temperature. Let = 0.05 and report a p-value. (b) What is the 95% confidence interval for the shell temperatures? (c) What sample size would be needed in the shell example to detect a margin of error (m) of 0.25?

Brown Yellow Difference
25.5 25.6 -0.1
27.5 27.8 -0.3
27.3 26.3 +1.0
27.3 25.9 +1.4
29.2 28.0 +1.2
25.3 25.4 -0.1
26.4 25.6 +0.8
28.5 28.9 -0.4
28.1 27.2 +0.9
26.4 26.0 +0.4

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