The pulse rates of 149 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90% confidenc that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n= (Round up to the nearest whole number as needed.) b. Assume that o = 10.1 bpm, based on the value s = 10.1 bpm from the sample of 149 male pulse rates. n=
The pulse rates of 149 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90% confidenc that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n= (Round up to the nearest whole number as needed.) b. Assume that o = 10.1 bpm, based on the value s = 10.1 bpm from the sample of 149 male pulse rates. n=
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![**Estimating the Mean Pulse Rate of Adult Males**
The pulse rates of 149 randomly selected adult males range from a low of 40 beats per minute (bpm) to a high of 116 bpm. We aim to find the minimum sample size required to estimate the mean pulse rate of adult males, ensuring a 90% confidence level that the sample mean is within 2 bpm of the population mean. This involves completing the following steps:
**a. Sample Size Using the Range Rule of Thumb**
Calculate the sample size (n) by estimating the standard deviation (σ) using the range rule of thumb. This involves using the formula:
\[ \text{Range} = \text{Maximum} - \text{Minimum} = 116 - 40 = 76 \]
^⚡Note: Round up to the nearest whole number.
**b. Sample Size Assuming Known Standard Deviation**
Assume that σ = 10.1 bpm, based on the sample value of s = 10.1 bpm. Use this information to calculate the sample size (n).
^⚡Note: Round up to the nearest whole number.
**c. Comparison of Results**
Compare the results from parts (a) and (b):
- Analyze which result is greater: The result from part (a) compared to part (b).
- Determine which result is likely to be better by analyzing the appropriateness of each method.
This activity involves understanding statistical methods for estimating sample sizes, considering variations, and improving confidence in results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb94ebdbc-2b2d-4ad8-a7a8-f80064954d96%2Fd68eab97-ff1d-40fb-8767-863b7c0a9246%2F1bunhao_processed.png&w=3840&q=75)
Transcribed Image Text:**Estimating the Mean Pulse Rate of Adult Males**
The pulse rates of 149 randomly selected adult males range from a low of 40 beats per minute (bpm) to a high of 116 bpm. We aim to find the minimum sample size required to estimate the mean pulse rate of adult males, ensuring a 90% confidence level that the sample mean is within 2 bpm of the population mean. This involves completing the following steps:
**a. Sample Size Using the Range Rule of Thumb**
Calculate the sample size (n) by estimating the standard deviation (σ) using the range rule of thumb. This involves using the formula:
\[ \text{Range} = \text{Maximum} - \text{Minimum} = 116 - 40 = 76 \]
^⚡Note: Round up to the nearest whole number.
**b. Sample Size Assuming Known Standard Deviation**
Assume that σ = 10.1 bpm, based on the sample value of s = 10.1 bpm. Use this information to calculate the sample size (n).
^⚡Note: Round up to the nearest whole number.
**c. Comparison of Results**
Compare the results from parts (a) and (b):
- Analyze which result is greater: The result from part (a) compared to part (b).
- Determine which result is likely to be better by analyzing the appropriateness of each method.
This activity involves understanding statistical methods for estimating sample sizes, considering variations, and improving confidence in results.
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