The mean resting pulse rate for men is 72 beats per minute. A simple random sample of mem who regularly work at at Joe's Gym is obtained and their resting pulse rates (in beats per minute) are recorded. Test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Joe's Gym is known to be 6.6 beats per minute. How many populations? O2 01 What is the parameter? O Proportion O Difference between Means Mean O tandard Deviation

The mean resting pulse rate for men is 72 beats per minute. A simple random sample of mem who regularly work at at Joe's Gym is obtained and their resting pulse rates (in beats per minute) are recorded. Test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Joe's Gym is known to be 6.6 beats per minute. How many populations? O2 01 What is the parameter? O Proportion O Difference between Means Mean O tandard Deviation

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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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Joe's Gym is obtained and their resting pulse rates (in beats per minute) are recorded. Test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Joe's Gym is known to be 6.6 beats per minute.

**Questions:**

1. How many populations?
- O 2
- O 1

2. What is the parameter?
- O Proportion
- O Difference between Means
- O Mean
- O Standard Deviation
- O Variance

**What is the test statistic?**

- $ t = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}} $

- $ z = \frac{(\hat{p}_1 - \hat{p}_2) - (p_1 - p_2)}{\sqrt{\frac{\hat{p} \cdot \hat{q}}{n_1} + \frac{\hat{p} \cdot \hat{q}}{n_2}}} $

- $ t = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}} $

- $ t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}} $

- $ t_d = \frac{\bar{x} - \mu_d}{\frac{s_d}{\sqrt{n}}} $

- $ z = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_3^2}{n_2}}} $

- $ z = \frac{\hat{p} - p}{\sqrt{\frac{p \cdot q}{n}}} $

- $ z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} $

- $ F = \frac{s_1^2}{s_2^2} $

- $ \chi^2 = \frac{(n-1)^2 \cdot s^2}{\sigma^2} $

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