8.S.2 Refer to Exercise 8.S.1 0. Compare the before and after populations using a t test at a = 0.05. Use a nondirectional alternative

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 (Y2)
Difference
Amelia
Bathsheba
3
6
-3
Boris
3
4
-1
Frank
1
-1
Jupiter
Lupine
4
-1
Madonna
1
3
-2
Michelangelo
2
1
1
Oregano
3
-2
Phantom
7
-2
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 (Y2) Difference Amelia Bathsheba 3 6 -3 Boris 3 4 -1 Frank 1 -1 Jupiter Lupine 4 -1 Madonna 1 3 -2 Michelangelo 2 1 1 Oregano 3 -2 Phantom 7 -2
Phantom
7
-2
Posh
Sawyer
1
-1
Scary
3
-2
Slater
-2
Tucker
2
2
Mean
1.8
2.8
-1
SD
1.66
2.37
1.20
8.S.2 Refer to Exercise 8.S.10. Compare the before and after populations using a t test at a = 0.05. Use a nondirectional
alternative.
Transcribed Image Text:Phantom 7 -2 Posh Sawyer 1 -1 Scary 3 -2 Slater -2 Tucker 2 2 Mean 1.8 2.8 -1 SD 1.66 2.37 1.20 8.S.2 Refer to Exercise 8.S.10. Compare the before and after populations using a t test at a = 0.05. Use a nondirectional alternative.
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