Question

certain group of test subjects had pulse rates with a mean of 81.9 beats per minute and a standard deviation of 12.2 beats per minute. Would it be unusual for one of the test subjects to have a pulse rate of 96.3 beats per​ minute? Minimum​ "usual" valueequals nothing beats per minute ​(Type an integer or a​ decimal.) Maximum​ "usual" valueequals nothing beats per minute ​(Type an integer or a​ decimal.) Is 96.3 beats per minute an unusual pulse​ rate? A. Yes comma because it is smaller than the minimum "usual" value. B. ​No, because it is smaller than the minimum​ "usual" value. C. ​No, because it is larger than the maximum​ "usual" value. D. ​Yes, because it is between the minimum and maximum​ "usual" values. E. No comma because it is between the minimum and maximum "usual" values. F. Yes comma because it is larger than the maximum "usual" value.

Answer 1

We know that unusual values are below two standard deviation from the mean and above two standard deviation from the mean.

We have mean = 81.9 beats per minute and standard deviation = 12.2 beats per minute

Range for unusual values are

beats per minute

beats per minute

So, any value less than 57.5 bpm will be considered as unusual and any value above 106.3 bpm will be considered as unusual.

Minimum usual value = 57.5 beats per minute

Maximum usual value = 106.3 beats per minute

It is clear that 96.3 beats per minute is neither less than 57.5 nor more than 106.3. So, 96.3 beats per minute is  between the minimum and maximum "usual" values.

Option E is only correct option.