Question

ann runs a large animal shelter. at anns shelter, the length of stay for puppies has a mean of 44 days and a standard deviation of 9 days. the cohen family adopted a puppy named bianca from the shelter. when bianca was adopted, she had been at the shelter for 61 days. find the z - score of biancas length of stay at the shelter relative to the the lengths of stay for all the puppies at the shelter. round your answer to two decimal places. z =

Explanation:

Step1: Recall the z - score formula

The formula for the z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Identify the values of \(x\), \(\mu\), and \(\sigma\)

Given that \(x = 61\) (Bianca's length of stay), \(\mu=44\) (mean length of stay), and \(\sigma = 9\) (standard deviation of length of stay).

Step3: Substitute the values into the formula

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Answer:

\(z = 1.89\)