A measure of social anxiety classifies people as having social anxiety disorder if they score in the upper 5%of the population. Determine the cut score for this diagnosis, given that the measure has μ=60 and σ=12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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A measure of social anxiety classifies people as having social anxiety disorder if they score in the upper 5%of the population. Determine the cut score for this diagnosis, given that the measure has μ=60 and σ=12

Expert Solution
Step 1

The normal distribution is the most useful theoretical distribution for continuous variables.

For the normal distribution,

Mean = μ and

Standard deviation = σ, symbolically we write.

Given,

Population mean = μ = 60

Population standard deviation = σ = 12

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