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Answer :
Therefore, Rob's z-value is -2 and Rachel's z-value is 1.88.
The z-score can be calculated using the formula z = (x-μ)/σ, where x is the given value, μ is the mean, and σ is the standard deviation.
a) Compute the z-values for both Rob and Rachel.
Rob's z-value = (x-μ)/σ
= (50,000-60,000)/5,000
= -2.
Rachel's z-value = (x-μ)/σ
= (50,000-35,000)/8,000
= 1.88
The above solution gives a step-by-step explanation of how to find the z-value for each of the twins - Rob and Rachel. The z-score is used to determine how far a data point is from the mean, measured in standard deviations. The mean is the average of all the data points in a set. The standard deviation is a measure of the amount of variation or dispersion in a set of data. The z-score can be positive or negative, depending on whether the data point is above or below the mean. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that the data point is below the mean.
In this problem, the mean and standard deviation for the salaries of engineers and retail executives were given. We used these values to calculate the z-scores for Rob and Rachel.
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