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A simple random sample of 34 men from a normally distributed population results in a standard deviation of 10.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.

A simple random sample of 34 men from a normally distributed population results in a standard deviation of 10.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Identify the null and alternative hypotheses.

Identify the test statistic.

Identify the P-value.

Identify the conclusion for this hypothesis test.

 
**Statistical Hypothesis Testing of Pulse Rates** In a study conducted on a simple random sample of 34 men from a normally distributed population, the sample revealed a standard deviation of 10.1 beats per minute. The typical normal range for adult pulse rates is considered to be 60 to 100 beats per minute. When applying the range rule of thumb, this normal range translates to a standard deviation of approximately 10 beats per minute. To evaluate the claim that the pulse rates of men have a standard deviation equal to 10 beats per minute, we will use the sample results and conduct a hypothesis test at a 0.05 significance level. **Objective:** Identify the null and alternative hypotheses for this test. **Hypotheses:** 1. **Option A:** - Null Hypothesis (H₀): \( \sigma \ne 10 \) - Alternative Hypothesis (H₁): \( \sigma = 10 \) 2. **Option B:** - Null Hypothesis (H₀): \( \sigma = 10 \) - Alternative Hypothesis (H₁): \( \sigma \ne 10 \) 3. **Option C:** - Null Hypothesis (H₀): \( \sigma = 10 \) - Alternative Hypothesis (H₁): \( \sigma < 10 \) 4. **Option D:** - Null Hypothesis (H₀): \( \sigma = 10 \) - Alternative Hypothesis (H₁): \( \sigma > 10 \) *Note*: In hypothesis testing, the null hypothesis represents a statement of no effect or no difference, and it is the hypothesis that is initially assumed to be true. The alternative hypothesis represents a statement of effect or difference that the test aims to support.
Transcribed Image Text:**Statistical Hypothesis Testing of Pulse Rates** In a study conducted on a simple random sample of 34 men from a normally distributed population, the sample revealed a standard deviation of 10.1 beats per minute. The typical normal range for adult pulse rates is considered to be 60 to 100 beats per minute. When applying the range rule of thumb, this normal range translates to a standard deviation of approximately 10 beats per minute. To evaluate the claim that the pulse rates of men have a standard deviation equal to 10 beats per minute, we will use the sample results and conduct a hypothesis test at a 0.05 significance level. **Objective:** Identify the null and alternative hypotheses for this test. **Hypotheses:** 1. **Option A:** - Null Hypothesis (H₀): \( \sigma \ne 10 \) - Alternative Hypothesis (H₁): \( \sigma = 10 \) 2. **Option B:** - Null Hypothesis (H₀): \( \sigma = 10 \) - Alternative Hypothesis (H₁): \( \sigma \ne 10 \) 3. **Option C:** - Null Hypothesis (H₀): \( \sigma = 10 \) - Alternative Hypothesis (H₁): \( \sigma < 10 \) 4. **Option D:** - Null Hypothesis (H₀): \( \sigma = 10 \) - Alternative Hypothesis (H₁): \( \sigma > 10 \) *Note*: In hypothesis testing, the null hypothesis represents a statement of no effect or no difference, and it is the hypothesis that is initially assumed to be true. The alternative hypothesis represents a statement of effect or difference that the test aims to support.
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