Construct a confidence interval the wrong way

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Reference no: EM131023663

A volunteer working at an animal shelter conducted a study of the effect of catnip on cats at the shelter. She recorded the number of "negative interactions" each of 15 cats made in 15-minute periods before and after being given a teaspoon of catnip. The paired measurements were collected on the same day within 30 minutes of one another; the data are given in the accompanying table.

(a) Construct a 95% confidence interval for the difference in mean number of negative interactions.

(b) Construct a 95% confidence interval the wrong way, using the independent-samples method. How does this interval differ from the one obtained part (a)?

CAT	BEFORE ( ri )	AFTER ( r2)	DIFFERENCE.
Amelia	0	0	0
Bat hsheba	3	6	-3
Boris	3	4	-I
Frank	0	1	-1
Jupiter	0	0	0
Lupine	4	5	-1
Madonna	1	3	-2
Michelangelo	2	1	1
Oregano	3	5	-2
Phantom	5	7	-2
Posh	1	0	1
Sawyer	0	1	- I
Scary	3	5	-2
Slater	0	2	-2
Tucker	2	2	0
Mean	1.8	2.8	- I
SD	1.66	2.37	1.20

Reference no: EM131023663

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