Shelly and Kelly Macdonald met up with Sarah and Tara MacNeill to go fishing in

Question

Shelly and Kelly Macdonald met up with Sarah and Tara MacNeill to go fishing in Cape Breton. They found two pools in a stream containing speckled trout (assume equal variance), with the Macdonalds at one pool and the MacNeills at the other, and at the end of the day each team had caught (and released unharmed) 5 fish. For each fish they recorded the length and weight, and the data on length (in cm) is summarized below (Give the answers to 2 places past decimal) Team Macdonald MacNeill 18.8 21.25 Std.Dev 1.3 1.19

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary confidence interval:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
(with pooled variances)

95% confidence interval results:

Hence,

95% confidence interval will be:

Lower = -4.82

Upper = -0.08

Difference Sample Diff. Std. Err. DF L. Limit U. Limit ?1 - ?2 -2.45 1.029563 8 -4.8241765 -0.075823457

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