Complete parts (a) through (c) below. (a) Determine the critical value(s) for a

Question

Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the alpha= 0.10 level of significance with 15 degrees of freedom (b) Determine the critical value(s) for a left-tailed test of a population mean at the alpha= 0.01 level of significance based on a sample size of n =10 (c) Determine the critical value(s) for a two-tailed test of a population mean at the alpha=0.05 level of significance based on a sample size of n= 14 Click here to view the t-Distribution Area in Right Tail t_crt = (Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer

Explanation / Answer

a) critical value for right tail test at alpha=0.10 level of significance with 15 degrees of freedom is 1.340606.

R code

qt(0.10, 15, lower.tail = FALSE)

b)

critical value for right tail test at alpha=0.01 level of significance with 10 degrees of freedom is -2.763769.

R code

qt(0.01, 10)

C) Critical values for two tail test at alpha=0.05 level of significance with 14 degrees of freedom is

Lower critical point  -2.144787

Upper critical point 2.144787

R code

qt(0.025, 14) #lower cut off #alpha/2 = 0.025

qt(0.025, 14,lower.tail=FALSE) #Upper cut off

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