Scores from a questionnaire measuring social anxiety form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 10. What is the probability of obtaining a sample mean greater than M = 53 for the following sample sizes? (Use four decimal places.)   Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0   -2-1012z.5000.50000.0000   For a random sample of n = 4 people: p =     For a random sample of n = 16 people: p =     For a random sample of n = 25 people: p =

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Scores from a questionnaire measuring social anxiety form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 10. What is the probability of obtaining a sample mean greater than M = 53 for the following sample sizes? (Use four decimal places.)
 

Standard Normal Distribution

Mean = 0.0

Standard Deviation = 1.0

 
-2-1012z.5000.50000.0000
 
For a random sample of n = 4 people:
p =
 
 
For a random sample of n = 16 people:
p =
 
 
For a random sample of n = 25 people:
p =
 
 
Expert Solution
Step 1

Given,mean(μ)=50standard deviation(σ)=10

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