8.3 Inference for Quantitative Variable: Comparing Two Means Pulse Rates Mr. Wilcox's class performed an experiment to investigate whether drinking a caffeinated beverage would increase pulse rates. Twenty students in the class volunteered to take part in the experiment. All of the students measured their initial pulse rates (in beats per minute). Then Mr. Wilcox randomly assigned the students into two groups of 10. Each student in the first group drank 12 ounces of cola with caffeine. Each student in the second group drank 12 ounces of caffeine-free cola. All students then measured their pulse rates again. The table displays the change in pulse rate for the students in both groups. Construct and interpret a 95% confidence interval for the difference in true mean change in pulse rate for subjects like these who drink caffeine versus who drink no caffeine. Change in pulse rate (Final pulse rate - Initial pulse rate) 5 4 4 -1 Caffeine 8 No caffeine 3 3 -2 1 -1 4 5 05 10 6 1 12 2 0 4 Mean change 3.2 2.0

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8.3 Inference for Quantitative Variable: Comparing Two Means
Pulse Rates Mr. Wilcox's class performed an experiment to investigate whether drinking a
caffeinated beverage would increase pulse rates. Twenty students in the class volunteered
to take part in the experiment. All of the students measured their initial pulse rates (in
beats per minute). Then Mr. Wilcox randomly assigned the students into two groups of 10.
Each student in the first group drank 12 ounces of cola with caffeine. Each student in the
second group drank 12 ounces of caffeine-free cola. All students then measured their
pulse rates again. The table displays the change in pulse rate for the students in both
groups. Construct and interpret a 95% confidence interval for the difference in true mean
change in pulse rate for subjects like these who drink caffeine versus who drink no
caffeine.
Change in pulse rate (Final pulse rate - Initial pulse rate)
5
6 1
4
4
1 2
-1
Caffeine
8
No caffeine 3
3
-2
1
-1
STATE the parameter and confidence.
level.
DO all necessary visuals and
calculations.
4
5
0
5
0
4
Two-sample t-interval for a difference between two means
Mean change
3.2
2.0
PLAN the inference method and check
conditions.
CONCLUDE with an interpretation of the
confidence interval in context.
Transcribed Image Text:8.3 Inference for Quantitative Variable: Comparing Two Means Pulse Rates Mr. Wilcox's class performed an experiment to investigate whether drinking a caffeinated beverage would increase pulse rates. Twenty students in the class volunteered to take part in the experiment. All of the students measured their initial pulse rates (in beats per minute). Then Mr. Wilcox randomly assigned the students into two groups of 10. Each student in the first group drank 12 ounces of cola with caffeine. Each student in the second group drank 12 ounces of caffeine-free cola. All students then measured their pulse rates again. The table displays the change in pulse rate for the students in both groups. Construct and interpret a 95% confidence interval for the difference in true mean change in pulse rate for subjects like these who drink caffeine versus who drink no caffeine. Change in pulse rate (Final pulse rate - Initial pulse rate) 5 6 1 4 4 1 2 -1 Caffeine 8 No caffeine 3 3 -2 1 -1 STATE the parameter and confidence. level. DO all necessary visuals and calculations. 4 5 0 5 0 4 Two-sample t-interval for a difference between two means Mean change 3.2 2.0 PLAN the inference method and check conditions. CONCLUDE with an interpretation of the confidence interval in context.
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