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

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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.
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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