Q:

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 (x minus mu )Over sigma EndFractionz= (x−μ) σ​?

Accepted Solution

A:
Answer:(1) 0 and 1(2) Correct option DStep-by-step explanation:It is provided that 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. Let X denote the pulse rates of women.(1)Let us consider a random variable, X that follows N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and variance V (Z) = 1. That is, Z follows N (0, 1). In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean. Thus, z-scores are a type of standardized scores. The values of the mean and standard deviation after converting all pulse rates of women to z scores are 0 and 1 respectively.(2)The z scores are numbers without units of measurement.