Which one of the following computes t score for 80% confidence interval for sample size 25 in R?     qt(0.8,25)     qt(0.8,24)     qt(0.9,25)     qt(0.9,24)

MATLAB: An Introduction with Applications
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Which one of the following computes t score for 80% confidence interval for sample size 25 in R?

   

qt(0.8,25)

   

qt(0.8,24)

   

qt(0.9,25)

   

qt(0.9,24)

Expert Solution
Step 1: Calculate t score for 80% confidence interval for sample size 25

The correct R code to compute the t-score for an 80% confidence interval for a sample size of 25 is:

qt( 0.9, 24)

Here's the explanation:

qt is the function in R used to compute quantiles of the Student's t-distribution.
The first argument, 0.9, represents the probability (1 - alpha) for the desired confidence level. In this case, it's 0.9 because you want an 80% confidence interval, which corresponds to a 90% confidence level.
The second argument, 24, is the degree of freedom, which is equal to the sample size minus 1. So, for a sample size of 25, the degree of freedom is 24.
Therefore, qt( 0.9, 24) computes the t-score for an 80% confidence interval with a sample size of 25.

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