Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ₁ = mean before workout. Select the correct Hypotheses: Ho: μη > με Ηο: μι = με Ηο:μι < με Ho:μα = 0 Ha: ₁ < ₂ Ha:μ₁ µ₂ H₂= µ₁ > μ₂ H₂Hd #0 Conclusion: before 69 69 65 62 63 61 after 73 75 72 70 68 59 O Fail to Reject Ho Reject Ho Test Statistic = p-value = [three decimal accuracy] [three decimal accuracy] Ho:μα 20 Ha:Pa <0 Ho: μα < 0 Ha: Pd>0 Interpret the conclusion in context: There is enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout. O There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
**Evaluating Heart Rates Before and After Kettlebell Workouts**

In this study, heart rates (in bpm) are recorded before and 30 minutes after a kettlebell workout. It's assumed the heart rates are normally distributed. We aim to test if the average heart rates before the workout are significantly lower than those 30 minutes post-workout, using a significance level of 0.02. Let \(\mu_1\) represent the mean heart rate before the workout.

**Data:**
- **Before**: 69, 69, 65, 62, 63, 61
- **After**: 73, 75, 72, 70, 68, 59

**Hypothesis Testing:**
- Null Hypothesis (\(H_0\)): \(\mu_d \ge 0\)
- Alternative Hypothesis (\(H_a\)): \(\mu_d < 0\)

**Test Statistic & P-value Calculation:**
- Test Statistic = [calculated value, three decimal accuracy]
- p-value = [calculated value, three decimal accuracy]

**Conclusion:**
- Decision: Reject \(H_0\)
  
**Interpretation in Context:**
- There is enough evidence to suggest that the mean bpm before a kettlebell workout is lower than 30 minutes after the workout.

The data supports the idea that heart rates increase following a kettlebell workout. This analysis helps understand how such workouts impact cardiovascular metrics and can guide training protocols.
Transcribed Image Text:**Evaluating Heart Rates Before and After Kettlebell Workouts** In this study, heart rates (in bpm) are recorded before and 30 minutes after a kettlebell workout. It's assumed the heart rates are normally distributed. We aim to test if the average heart rates before the workout are significantly lower than those 30 minutes post-workout, using a significance level of 0.02. Let \(\mu_1\) represent the mean heart rate before the workout. **Data:** - **Before**: 69, 69, 65, 62, 63, 61 - **After**: 73, 75, 72, 70, 68, 59 **Hypothesis Testing:** - Null Hypothesis (\(H_0\)): \(\mu_d \ge 0\) - Alternative Hypothesis (\(H_a\)): \(\mu_d < 0\) **Test Statistic & P-value Calculation:** - Test Statistic = [calculated value, three decimal accuracy] - p-value = [calculated value, three decimal accuracy] **Conclusion:** - Decision: Reject \(H_0\) **Interpretation in Context:** - There is enough evidence to suggest that the mean bpm before a kettlebell workout is lower than 30 minutes after the workout. The data supports the idea that heart rates increase following a kettlebell workout. This analysis helps understand how such workouts impact cardiovascular metrics and can guide training protocols.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman