his Question: 1 pt 7 of 13 (6 ce Complete parts (a) through (c) below (a) Determ
ID: 3325157 • Letter: H
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his Question: 1 pt 7 of 13 (6 ce Complete parts (a) through (c) below (a) Determine the critical value(s) for a right-taled test of a population mean at the a-0 01 level of significance with 20 degrees of freedom , (b) Determine the critical value(s) for a left-tailed test of a population mean at the -10 level of significance based on a sample size of n-15. (c) Determine the critical value(s) for a two-tailed test of a population mean at the = 0 10 level of significance based on a sample size of n-13. Click here to vew the t·Distribution Area in Right Tail (a) toit- (Round to three decimal places as needed ) (b) tert. (Round to three decimal places as needed ) (c) tot-L."] (Round to three decimal places as needed.) Enter your answer in each of the answer boxesExplanation / Answer
a) Here for 20 degrees of freedom, we look at the row with DF = 20, and the value of level of significance as 0.01, we get from the tables:
P( t20 > 2.528 ) = 0.01
Therefore 2.528 is the critical value here.
b) For n-1 = 14 degrees of freedom and 0.10 level of significance, we get from the tables that:
P( t14 > 1.345) = 0.10
But as this is a left tailed test, and t distribution is symmetric about 0, therefore, the critical value here would be -1.345
Therefore -1.345 is the critical value here.
c) For n-1 = 12 degrees of freedom, the level of significance of 0.1, but as it is a two tailed test, we find it for 0.05 level of significance as:
P( t12 < 1.782) = 0.05
Therefore -1.782, 1.782 are the critical values here.
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