Question

The normal distribution has a mean μ = 56 and standard deviation σ = 20. Find and interpret the Z-score for x = 59. The Z-score for x = 59 is Z = (59 - 56) / 20 = 0.15. So, 59 is 0.15 standard deviations above the mean.

Name: normal distribution has mean h 56 and standard deviation 20 find and interpret the z score for x 59 6 do the z score for x 59 is 56 so 59 is standard deviations choose one tl pelow the mean 47475
Uploaded: 2023-07-24T07:59:40-08:00
Duration: 1 min 3 s
Channel: Pritesh Ranjan
Description: normal distribution has mean h 56 and standard deviation 20 find and interpret the z score for x 59 6 do the z score for x 59 is 56 so 59 is standard deviations choose one tl pelow the mean 47475

          The normal distribution has a mean μ = 56 and standard deviation σ = 20. Find and interpret the Z-score for x = 59.

The Z-score for x = 59 is Z = (59 - 56) / 20 = 0.15. 

So, 59 is 0.15 standard deviations above the mean.

Added by Tammy B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

07/24/2023

Step 1

Plugging in the values given in the question, we get: z = (59 - 56) / 20 = 0.15 So the z-score for x = 59 is 0.15. Now, to interpret the z-score, we need to understand what it represents. A z-score measures the distance between a data point and the mean in Show more…

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The normal distribution has a mean μ = 56 and standard deviation σ = 20. Find and interpret the Z-score for x = 59. The Z-score for x = 59 is Z = (59 - 56) / 20 = 0.15. So, 59 is 0.15 standard deviations above the mean.