Pulse rates of women are normally distributed with a mean of 77.5 beats per minu

Question

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Answer the following questions.

What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using z equals StartFraction left parenthesis x minus mu right parenthesis Over sigma EndFractionz= (x) ?

mu equals= [ ] sigma equals= [ ]

The original pulse rates are measure with units of "beats per minute". What are the units of the corresponding z scores?

Choose the correct choice below.

A. The z scores are measured with units of "beats per minute."

B. The z scores are measured with units of "minutes per beat."

C. The z scores are measured with units of "beats."

D. The z scores are numbers without units of measurement.

Explanation / Answer

Since In the numerator, you have the difference of means, whose units are in Beats/Minute

In the denominator also, you have the standard deviation, which is measured in Beats/ minute

Therefore your z score = (beats/unit) / (beats/unit) which cancels out and hence z scores are numbers without units of measurement. OPTION D is the correct answer.

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