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 = (x - mu )/sigma ? mu = sigma = 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. The z scores are measured with units of "beats per minute". The z scores are measured with units of "minutes per beat". The z scores are measured with units of "beats." The z scores are numbers without units of measurement.

Answer 1

It is given that, the pulse rates of women have mean values as 77.5 and the standard deviation is 11.6 Now, all pulse rates are converted into z-scores by subtracting mean from each of the values and dividing the corresponding result with the standard deviation The converted z-scores are as shown below PULSE z-scores PULSE z-scores 0.0431 90 0.21552 90 0.819 68 18534 72 0.1293 82 0.0431 72 0.0431 78 78 107759 80 107759 68 0.819 56 0.4741 76 0.38793 78 0.4741 78 0.0431 90 1.07759 104 228448 159483 62 1.5086|72 176724 72 96 13362 60 0.4741 98 0.4741 0.9914 88 0.90517 100 1.93966 74 -0.3017

76 0.129372 0.4741 1163882 0.38793 78 1.3362 78 0.4741 98 0.0431 72 0.3017 64 64. 0.38793 82 0.0431 62 0.0431 72 176724 78 0.4741 74 11638 Using MINITAB, the descriptive statistic for the z-scores is as shown below: Descriptive Statistics: z-scores Variable N*Mean StDev z-scores 0 0.000 0.996 0.388 0.862 23 IQR From the MINITAB output, μ-O and σ-0996 ~ L Here, the pulse rates are measured with given units. But the corresponding z-scores are the numbers or constant. So, the z-scores will not have any units of measurements Therefore, the correct option is D