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Use the formula z = X = 7 8 O = 1 १४ ३७ - X Round to 4 decimal places to find Z when

Use the formula z = X = 7 8 O = 1 १४ ३७ - X Round to 4 decimal places to find Z when

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Calculating the Z-Score Use the formula for the Z-score: \[ z = \frac{x - \mu}{\sigma} \] To find \( Z \) when the values are given as follows: - \( x = 7 \) - \( \mu = 8 \) - \( \sigma = 1 \) ### Instructions 1. **Substitute the values into the formula:** \[ z = \frac{7 - 8}{1} \] 2. **Calculate the numerator:** \[ 7 - 8 = -1 \] 3. **Divide the result by \( \sigma \):** \[ z = \frac{-1}{1} = -1 \] 4. **Round \( Z \) to 4 decimal places:** \[ Z = -1.0000 \] ### Final Result \[ Z = -1.0000 \] This calculation shows the Z-score, which indicates how many standard deviations away the value \( x \) is from the mean \( \mu \).
Transcribed Image Text:### Calculating the Z-Score Use the formula for the Z-score: \[ z = \frac{x - \mu}{\sigma} \] To find \( Z \) when the values are given as follows: - \( x = 7 \) - \( \mu = 8 \) - \( \sigma = 1 \) ### Instructions 1. **Substitute the values into the formula:** \[ z = \frac{7 - 8}{1} \] 2. **Calculate the numerator:** \[ 7 - 8 = -1 \] 3. **Divide the result by \( \sigma \):** \[ z = \frac{-1}{1} = -1 \] 4. **Round \( Z \) to 4 decimal places:** \[ Z = -1.0000 \] ### Final Result \[ Z = -1.0000 \] This calculation shows the Z-score, which indicates how many standard deviations away the value \( x \) is from the mean \( \mu \).
Expert Solution
Step 1: Given data,

A space p o p u l a t i o n space m e a n colon mu equals 8 A space p o p u l a t i o n space s tan d a r d space d e v i a t i o n colon sigma equals 1 X equals 7 W e space h a v e space t o space f i n d space o u t space t h e space Z space s c o r e space f o r space m e a n.

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