A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 34.5 and the standard deviation of the annual precipitation amounts is 5.1. Let x represent the annual precipitation in that city. Determine the z-score for an annual Precipitation in that city of 21.6 inches. Round your final answer to two decimal places.
A)2.53
B)-2.53
C)11.00
D)0.48

Question

A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 34.5 and the standard deviation of the annual precipitation amounts is 5.1. Let x represent the annual precipitation in that city. Determine the z-score for an annual Precipitation in that city of 21.6 inches. Round your final answer to two decimal places. 
A)2.53
B)-2.53
C)11.00
D)0.48

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{x - \mu}{\sigma}$, where $x$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the given values: $z = \frac{21.6 - 34.5}{5.1} = \frac{-12.9}{5.1} = -2.53$.

A Meteorological Office Keeps Records of the Annual Precipitation in Different