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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman