< A simple random sample of pulse rates of 60 women from a normally distributed population results in a standard deviation of 12.2 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 0.10 significance level to test the claim that pulse rates of women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. x² = (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is (Round to three decimal places as needed.) d. State the conclusion.. BER Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats ner minute D

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### Statistical Analysis of Pulse Rates in Women

A simple random sample of pulse rates from 60 women, taken from a normally distributed population, results in a standard deviation of 12.2 beats per minute. Typically, the normal range of pulse rates for adults is between 60 to 100 beats per minute, with a standard deviation of 10 beats per minute being considered the norm when applying the rule of thumb to this range.

This study aims to test the claim that the pulse rates of women have a standard deviation equal to 10 beats per minute. Using a sample result, we apply a 0.10 significance level for our hypothesis test.

#### Steps to Test the Claim

1. **Compute the Test Statistic:**

   \[
   \chi^2 = \square
   \]

   *(Round to three decimal places as needed.)*

2. **Find the P-value of the Test Statistic:**

   \[
   \text{The P-value of the test statistic is } \square
   \]

   *(Round to three decimal places as needed.)*

3. **State the Conclusion:**

   - **Decision:**
     - \(\text{Fail to reject } H_0\)
   
   - **Conclusion Statement:**
     - There \(\underline{\text{is not}}\) sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.

This test applies the chi-square distribution to test the variability in women's pulse rates compared to an established norm, adding robustness to the statistical analysis.
Transcribed Image Text:### Statistical Analysis of Pulse Rates in Women A simple random sample of pulse rates from 60 women, taken from a normally distributed population, results in a standard deviation of 12.2 beats per minute. Typically, the normal range of pulse rates for adults is between 60 to 100 beats per minute, with a standard deviation of 10 beats per minute being considered the norm when applying the rule of thumb to this range. This study aims to test the claim that the pulse rates of women have a standard deviation equal to 10 beats per minute. Using a sample result, we apply a 0.10 significance level for our hypothesis test. #### Steps to Test the Claim 1. **Compute the Test Statistic:** \[ \chi^2 = \square \] *(Round to three decimal places as needed.)* 2. **Find the P-value of the Test Statistic:** \[ \text{The P-value of the test statistic is } \square \] *(Round to three decimal places as needed.)* 3. **State the Conclusion:** - **Decision:** - \(\text{Fail to reject } H_0\) - **Conclusion Statement:** - There \(\underline{\text{is not}}\) sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute. This test applies the chi-square distribution to test the variability in women's pulse rates compared to an established norm, adding robustness to the statistical analysis.
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