Answer:
a. 40 beats per minute
b. 1.79 standard deviations away from the mean
c. z = -1.8
d. Yes. The pulse rate of 35 is significant
Explanation:
We were given that:
Lowest pulse rate = 35 beats per minute
Mean pulse rate = 75 beats per minute
Standard deviation = 22.3 beats per minute
a. The difference between the Mean pulse rate and lowest pulse rate is given below:
[tex]\begin{gathered} =75-35 \\ =40\text{ }beats\text{ }per\text{ }minute \end{gathered}[/tex]b. The lowest pulse rate is how many standard deviations away from the mean
[tex]\begin{gathered} =\frac{40}{22.3} \\ =1.79 \end{gathered}[/tex]This shows that the lowest pulse rate is 1.79 standard deviations away from the mean
c. The z-score is shown below:
[tex]\begin{gathered} Z=\frac{(X-µ)}{σ} \\ X=35 \\ µ=75.0 \\ σ=22.3 \\ \text{Substituting the variables into the formula, we have:} \\ Z=\frac{(35-75.0)}{22.3} \\ Z=\frac{-40}{22.3} \\ Z=-1.7937\approx-1.80 \\ Z=-1.8 \end{gathered}[/tex]d. If the pulse rates with z-scores between -2 and 2 are neither significantly low nor significantly high, the pulse rate of 35 is significant