Normal healthy resting pulse rate for 30 year old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30 year old female has a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30 year old female) has a resting pulse rate of 83. John (a 30 year old male) has a resting pulse rate of 80. What is Melissa's z-score for her resting pulse rate? P Do you want to switch to tablet mode? This makes Windows more touch-friendly when using your device as a tablet. Always ask me before switching Yes No OuectionO 25 pointcl
Normal healthy resting pulse rate for 30 year old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30 year old female has a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30 year old female) has a resting pulse rate of 83. John (a 30 year old male) has a resting pulse rate of 80. What is Melissa's z-score for her resting pulse rate? P Do you want to switch to tablet mode? This makes Windows more touch-friendly when using your device as a tablet. Always ask me before switching Yes No OuectionO 25 pointcl
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![### Understanding Resting Pulse Rates and Z-Scores
Normal healthy resting pulse rate for 30-year-old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30-year-old females have a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30-year-old female) has a resting pulse rate of 83. John (a 30-year-old male) has a resting pulse rate of 80.
**Question:**
What is Melissa's z-score for her resting pulse rate?
**Explanation:**
- A z-score (or standard score) indicates how many standard deviations an element is from the mean. It is calculated using the formula:
\[ z = \frac{X - \mu}{\sigma} \]
where:
- \( X \) is the value,
- \( \mu \) is the mean, and
- \( \sigma \) is the standard deviation.
**Calculation Example for Melissa:**
1. Identify Melissa's resting pulse rate, \( X = 83 \) beats per minute.
2. Identify the mean resting pulse rate for 30-year-old females, \( \mu = 76 \) beats per minute.
3. Identify the standard deviation, \( \sigma = 10 \) beats per minute.
Plugging the values into the formula:
\[ z = \frac{83 - 76}{10} = \frac{7}{10} = 0.7 \]
So, **Melissa's z-score is 0.7**.
#### Additional Exercise:
You can further practice by calculating John's z-score for his resting pulse rate based on the given mean and standard deviation for 30-year-old males.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d383632-86ab-4fc0-b0f9-2f01820f5bc9%2Fb6e858cc-d5d0-4616-b5c9-1441ed283f97%2Forzd4ri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Resting Pulse Rates and Z-Scores
Normal healthy resting pulse rate for 30-year-old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30-year-old females have a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30-year-old female) has a resting pulse rate of 83. John (a 30-year-old male) has a resting pulse rate of 80.
**Question:**
What is Melissa's z-score for her resting pulse rate?
**Explanation:**
- A z-score (or standard score) indicates how many standard deviations an element is from the mean. It is calculated using the formula:
\[ z = \frac{X - \mu}{\sigma} \]
where:
- \( X \) is the value,
- \( \mu \) is the mean, and
- \( \sigma \) is the standard deviation.
**Calculation Example for Melissa:**
1. Identify Melissa's resting pulse rate, \( X = 83 \) beats per minute.
2. Identify the mean resting pulse rate for 30-year-old females, \( \mu = 76 \) beats per minute.
3. Identify the standard deviation, \( \sigma = 10 \) beats per minute.
Plugging the values into the formula:
\[ z = \frac{83 - 76}{10} = \frac{7}{10} = 0.7 \]
So, **Melissa's z-score is 0.7**.
#### Additional Exercise:
You can further practice by calculating John's z-score for his resting pulse rate based on the given mean and standard deviation for 30-year-old males.
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