A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 34.3 and the standard deviation of the annual precipitation amounts is 4.7. Let x represent the annual precipitation in that city. Determine the z-score for an annual precipitation in that city of 32.3 inches
Round to two decimal places.
A. -0.43
B. 0.8
c. 14.17
D. 0.43

z

Step-by-step explanation:

The Z score is the number of standard deviations a randomly selected value is from the population mean. Using a Z look-up table, the Z score can be converted into the probability of drawing the value from the population.

Answer and Explanation: 1

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The answer is a. 1.86

The equation for Z score is:

Z

=

(

X

−

μ

)

/

σ

Where:

Z

is the Z score

X

is the value under...

See full answer below.

9514 1404 393

  A. -0.43

Step-by-step explanation:

The z-score is computed from ...

  z = (x -μ)/σ

  z = (32.3 -34.3)/4.7 ≈ -0.4255 ≈ -0.43

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