y and exam measurements were collected from 300 subjects. The pulse rates from 100 males have a mean of 69.3 beats per minute and a standard deviation of 11.0 beats nb for identifying significant values to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 80.0 beats per minute significantly lov ese pulse rates are measured at rest.) Explain. Click the icon to view the male pulse rates.

To determine if a pulse rate of 80.0 beats per minute is significantly low or high, we can use the concept of z-scores. The z-score tells us how many standard deviations a value is from the mean. ### Known Conditions: - Mean pulse rate (\( \mu \)) = 69.3 beats per minute - Standard deviation (\( \sigma \)) = 11.0 beats per minute - Pulse rate to evaluate (\( x \)) = 80.0 beats per minute ### Step 1: Calculate the z-score The formula for calculating the z-score is: \[ z = \frac{x - \mu}{\sigma} \] ### Step 2: Substitute the known values into the formula Now, we will substitute the values into the formula to find the z-score. \[ z = \frac{80.0 - 69.3}{11.0} \] ### Step 3: Calculate the z-score Let's perform the calculation. \[ z = \frac{10.7}{11.0} \] Now, I will calculate the z-score. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(80-69.3\right)}{11}\) - step1: Remove the parentheses: \(\frac{80-69.3}{11}\) - step2: Subtract the numbers: \(\frac{10.7}{11}\) - step3: Convert the expressions: \(\frac{\frac{107}{10}}{11}\) - step4: Multiply by the reciprocal: \(\frac{107}{10}\times \frac{1}{11}\) - step5: Multiply the fractions: \(\frac{107}{10\times 11}\) - step6: Multiply: \(\frac{107}{110}\) The calculated z-score is approximately \( z \approx 0.972 \). ### Step 4: Interpret the z-score A z-score of 0.972 indicates that the pulse rate of 80.0 beats per minute is about 0.97 standard deviations above the mean pulse rate of 69.3 beats per minute. ### Step 5: Determine significance In general, a z-score greater than 2 or less than -2 is often considered significantly high or low, respectively. Since our z-score of 0.972 is less than 2, we can conclude that: - A pulse rate of 80.0 beats per minute is **not significantly high**. ### Conclusion The pulse rate of 80.0 beats per minute is within the normal range and is not considered significantly low or high based on the given mean and standard deviation of the pulse rates for males.