nursing school professor is interested in determining how her college students compare to the national average when it comes to the Final Practicum Exam. The exam has a μ = 100 and σ = 20. There has been no evidence to suggest whether those seniors score better or worse than the national average and she is curious as to how her class (N=17) compares.

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nursing school professor is interested in determining how her college students compare to the national average when it comes to the Final Practicum Exam. The exam has a μ = 100 and σ = 20. There has been no evidence to suggest whether those seniors score better or worse than the national average and she is curious as to how her class (N=17) compares.

Expert Solution
Step 1

Given,

mean (µ) = 100

standard deviation (σ) = 20

Let X denote the exam score, then, X ~ Normal (µ = 100,σ = 20)

Taking the class size as the sample size, N = 17, the sampling distribution of the sample mean (x̄) or class average) will be normally distributed with mean, µ = 100 and a standard deviation, σ/n = 20/17 = 4.85

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