ct of catnip on cats at the shelter. She recor jative interactions" each of 15 cats made in after being given a teaspoon of catnip. The A collected on the same day within 30 minut

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Refer to Exercise 8.S.1. Compare the before and after populations using a t test at α = 0.05. Use a nondirectional alternative.

 

8.S.1 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.29
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 in part (a)?
Cat
Before (Y.)
After (Y)
Difference
Amelia
Bathsheba
3
6
-3
Boris
3
4
-1
Frank
1
-1
Jupiter
Lupine
4
5
-1
Madonna
1.
3
-2
Michelangelo
2
1
Oregano
3
5
-2
Phantom
7
-2
Posh
1.
Sawyer
1
-1
Scary
3
5
-2
Slater
2
-2
Tucker
2
2
Mean
1.8
2.8
-1
SD
1.66
2.37
1.20
Transcribed Image Text:8.S.1 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.29 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 in part (a)? Cat Before (Y.) After (Y) Difference Amelia Bathsheba 3 6 -3 Boris 3 4 -1 Frank 1 -1 Jupiter Lupine 4 5 -1 Madonna 1. 3 -2 Michelangelo 2 1 Oregano 3 5 -2 Phantom 7 -2 Posh 1. Sawyer 1 -1 Scary 3 5 -2 Slater 2 -2 Tucker 2 2 Mean 1.8 2.8 -1 SD 1.66 2.37 1.20
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