Question

If N=48, find tCV and use it to draw a t distribution with the rare and common zones labeled.

Normal distributions
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asked 2021-05-26

If \(N=48\), find tCV and use it to draw a t distribution with the rare and common zones labeled.

Answers (1)

2021-05-27

Given: \(N=\text{Sample size}=48 a=\text{Significance level}=0.05\)
The degrees of freedom is the sample size N decreased by 1. \(df=N-1=48-1=47\)
Determine the t-value by looking in the row starting with decrees of freedom \(df=n-1=20-1=19\) and in the column with \(\frac{a}{2}=0.025\) in the table of the Students T distribution in the appendix: \(\frac{ta}{2}=\pm2.01174\)
The common zone is then between the two critical values, while the remaining area is the rare zone.

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