### Hypothesis Testing: Resting Pulse RatesA simple random sample of men who regularly work out at Mitch's Gym is obtained, and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Use the p-value method of testing hypotheses.#### Sample Data70, 50, 51, 50, 59, 61, 49, 76, 64, 68, 76, 77#### InstructionsEnter the p-value. (Round your answer to the nearest thousandth.) When using tables to find a tight range for the p-value, enter one of the boundaries of the interval (not 0 or 1) found using the tables.#### Table for Hypothesis Testing1. **Extract Information:** - Sample data and parameters.2. **Original Claim:** - The population mean is less than 72 beats per minute.3. **Hypotheses:** - \( H_0 \): \(\mu \geq 72\) (Null hypothesis) - \( H_1 \): \(\mu < 72\) (Alternative hypothesis)4. **Test Statistic:** - Calculate the test statistic based on the sample data.5. **Distribution (Graphically):** - Diagram illustrating the normal distribution curve, critical region, and test statistic position.6. **p-Value:** - Compute the p-value associated with the test statistic.7. **Statistical Conclusion:** - Based on the p-value and significance level, make a decision regarding \( H_0 \).8. **Final Words:** - State the conclusion in the context of the original claim.Use this structured approach to test hypotheses using the p-value method. This helps determine if the evidence supports the claim regarding the mean resting pulse rate.

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Description: ### Hypothesis Testing: Resting Pulse RatesA simple random sample of men who regularly work out at Mitch's Gym is obtained, and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that th

Extract information: In this context, a random sample of 12 men who regularly work out at Mitch’s…

Math

Statistics

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Use the p-value method of testing hypotheses. 70 50 51 50 59 6149 76 64 68 76 77 Enter the p-value. (Round your answer to nearest thousandth.) When using tables to find a tight range for the p-value, enter one of the boundaries of the interval (not 0 or 1) found using the tables.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Use the p-value method of testing hypotheses. 70 50 51 50 59 6149 76 64 68 76 77 Enter the p-value. (Round your answer to nearest thousandth.) When using tables to find a tight range for the p-value, enter one of the boundaries of the interval (not 0 or 1) found using the tables.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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