e pulse rates of 168 randomly selected adult males vary from a low of 35 bpm to a high of 115 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want -% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate a (Round up to the nearest whole number as needed.) b. Assume that o=10.4 bpm, based on the value s= 10.4 bpm from the sample of 168 male pulse rates. (Round up to the nearest whole number as needed) c. Compare the results from parts (a) and (b). Which result is likely to be better? The result from part (a) is the result from part (b). The result from larger than smaller than the same size as D D is likely to be better because Next

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Question 8 Part c options 1. Larger than, smaller than, the same size as 2. Part (a), part (b) 3. It is smaller, it is larger, it uses a better estimate of õ
The text on the screen pertains to a statistical problem concerning pulse rates of adult males. Here is the transcription and explanation suitable for an educational website:

---

**Statistical Analysis of Pulse Rates**

The pulse rates of 168 randomly selected adult males vary from a low of 35 bpm (beats per minute) to a high of 115 bpm. Determine the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below.

a. **Find the sample size using the range rule of thumb to estimate σ (standard deviation).**

n = ____ (Round up to the nearest whole number as needed.)

b. **Assume that σ = 10.4 bpm, based on the value s = 10.4 bpm from the sample of 168 male pulse rates.**

n = ____ (Round up to the nearest whole number as needed.)

c. **Compare the results from parts (a) and (b). Which result is likely to be better?**

"The result from part (a) is [dropdown: larger than/smaller than/the same size as] the result from part (b). The result from [dropdown: part (a)/part (b)] is likely to be better because [reasoning]."

---

**Explanation of Elements**

- **Sample Size Calculation**: This involves determining n, the number of samples needed to achieve the desired confidence level for the mean estimate.
  
- **Range Rule of Thumb**: A simple technique to estimate the standard deviation as a part of calculating the required sample size.

- **Dropdown Choices**: Options are provided to compare whether the calculated sample sizes from parts (a) and (b) differ, and which methodology might provide a more accurate or appropriate result.

This exercise helps in understanding concepts related to statistical sampling, confidence intervals, and the importance of estimating standard deviation for sample size determination.
Transcribed Image Text:The text on the screen pertains to a statistical problem concerning pulse rates of adult males. Here is the transcription and explanation suitable for an educational website: --- **Statistical Analysis of Pulse Rates** The pulse rates of 168 randomly selected adult males vary from a low of 35 bpm (beats per minute) to a high of 115 bpm. Determine the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. **Find the sample size using the range rule of thumb to estimate σ (standard deviation).** n = ____ (Round up to the nearest whole number as needed.) b. **Assume that σ = 10.4 bpm, based on the value s = 10.4 bpm from the sample of 168 male pulse rates.** n = ____ (Round up to the nearest whole number as needed.) c. **Compare the results from parts (a) and (b). Which result is likely to be better?** "The result from part (a) is [dropdown: larger than/smaller than/the same size as] the result from part (b). The result from [dropdown: part (a)/part (b)] is likely to be better because [reasoning]." --- **Explanation of Elements** - **Sample Size Calculation**: This involves determining n, the number of samples needed to achieve the desired confidence level for the mean estimate. - **Range Rule of Thumb**: A simple technique to estimate the standard deviation as a part of calculating the required sample size. - **Dropdown Choices**: Options are provided to compare whether the calculated sample sizes from parts (a) and (b) differ, and which methodology might provide a more accurate or appropriate result. This exercise helps in understanding concepts related to statistical sampling, confidence intervals, and the importance of estimating standard deviation for sample size determination.
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