Probability and Degrees of Freedom Analysis with Excel
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PROBLEM:
Compute the following probabilities using excel:
(a) P (t10 ≥ 1.75) where t10 has a t distribution with 10 degrees of freedom.
(b) P (t100 ≥ 1.75) where t100 has a t distribution with 100 degrees of freedom. How do you explain the difference between this result and the one obtained in part (a)?
(c) P (Z ≥ 1.75) where Z is a standard normal distribution with 10 degrees of freedom. Compare this result to the results obtained in parts (a) and (b). How do you explain the difference in these probabilities?
(d) P (t20 ≤ -0.80) where t20 has a t distribution with 20 degrees of freedom.
(e) P (t3 ≤ -0.80) where t3 has a t distribution with 3 degrees of freedom. How do you explain the difference between this result and the one obtained in part (d)?
[PLEASE FIND AN EXCEL SPREAD SHEET WITH THE PROBLEM AND ANY NECESSARY DATA ATTACHED AS AN ATTACHMENT]
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Solution Summary
Probability and degrees of freedom analysis are analyzed by using excel. A t distribution is used.
Solution Preview
Please see the attached spreadsheet for explanation and formulas.
using excel functions the follwing probabilities are calculated
(a) P (t10 ≥ 1.75) = 0.055340472
By using TDIST(X, degrees of freedom , ...
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