Question

Several factors influence the value obtained for the independent-measures t statistic. Some factors affect the numerator of the t statistic and others influence the size of the estimated standard error in the denominator. For each of the following, indicate whether the factor influences the numerator or denominator of the t statistic and determine whether the effect would be to increase the value of t (farther from zero) or decrease the value of t (closer to zero). In each case, assume all other factors remain constant. a. DECREASE the size of the sample variances (explain the logic behind your answer). b. DECREASE the difference between the two samples (explain the logic behind your answer). c. DECREASE the size of the two samples (explain the logic behind your answer) and answer step by step.

Answer 1

sdution Given that, Several factors influence the value obtained for the independs measurest statistic, Some factors affect the numbernator of the t statistic, It-x-u Slon Numerator - X-M..... Denominator - . Given that, Decolase the size of the sample vorliances, 54.80 Denominator = In will secreasekeeping in " constant as a decoraceing. the test - statistics have value will incoease, since, E & in Denominator of test stots, Scanned with CamScanner

NOW, We have Decolage the difference between the two Samples, X-u will decrease , will decrease the value of L- test ag 7-is, in numerator of test - slots, © Given that, Recrease the size of two şamples, af decorerse keeping the sample size 5 an colase, as a segull t- test will Decrease , since, 5 i& a plant of Denominator in Zest step Un **** Scanned with CamScanner