Gamma-distributed random numbers gi for scale parameter b and shape parameter c can be generated from uniform variates ui as follows:

Using a sample size of 10, simulate the 10 and 5% critical values of the t statistic t = (X −m) /(S / n)
where μ = bc. With b = 1, perform the analyses for c = 3, 6, and 10. Assess the applicability of the test for each of these populations. Would it be appropriate to use the t test for any of these populations?
Explain.

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