Answer
A pulse rate of 70.0 bpm is very close to the mean of 70.1 bpm and is not significantly different, so it's neither significantly low nor high.
Solution
To determine whether a pulse rate of **70.0 beats per minute (bpm)** is significantly low or high compared to the mean pulse rate of **70.1 bpm** for the 100 male subjects, we need to consider the variability in the data, typically measured by the **standard deviation (SD)**. Although the standard deviation isn't provided in your query, we can discuss the general approach to making this determination.
### **1. Understanding the Mean and Variability**
- **Mean Pulse Rate:** 70.1 bpm
- **Individual Pulse Rate in Question:** 70.0 bpm
A difference of **0.1 bpm** from the mean is very small. In most real-world data sets, especially biological measures like pulse rate, there's natural variability. This small difference is likely within the range of normal variation.
### **2. Establishing Significance Limits**
To identify whether a pulse rate is significantly low or high, statisticians often use **confidence intervals** or **control limits** based on the mean and standard deviation. A common approach is:
- **Normal Range (Approx. 95% Confidence Interval):** Mean ± 2 × SD
Without the exact standard deviation, we can't calculate the precise limits, but given the minimal difference (0.1 bpm), it's reasonable to assume that 70.0 bpm falls well within the normal range.
### **3. Statistical Significance**
- **Statistical Significance:** A value is typically considered significantly different if it falls outside the established confidence interval or control limits.
- **Practical Significance:** Even if a value is statistically different, it must be large enough to be meaningful in a real-world context.
Given that 70.0 bpm is almost identical to the mean (70.1 bpm), it's **neither statistically nor practically significant** as being low or high.
### **Conclusion**
A pulse rate of **70.0 bpm** is **not significantly different** from the mean pulse rate of **70.1 bpm** in the studied group of males. It falls within the expected range of normal variability and should be considered typical for resting pulse rates in this context.
If you have access to the standard deviation or more detailed data, a more precise assessment can be made using statistical tests (e.g., z-score calculation) to confirm this conclusion.
**Summary:** A pulse rate of 70.0 bpm is very close to the mean of 70.1 bpm and is not considered significantly low or high based on typical variability in pulse rates.
Reviewed and approved by the UpStudy tutoring team
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