Question

students were tested for reaction tines (n thousandths of a second) using their right and eft hands. Each vabue is the clapsod tme between students are inckxded in the graph to the right Use a for reaction times (n sor a second, using ther right and left hand. Each vakue i·the eapsed time between the release of a str 0.02 significance level to test the claim that there is no difference between the reaction times of the right p of paper and the instant that t is caught by the subject) Resuts from five of the Click the icon to view the reaction time datn table. 120 150 130 What are the hypotheses for this test? 0 Readsion Time Data TatleX Let ug be the difference between the means of the right and keft hand reaction times Right Hand 128 138 160 162 163 Left Hand 156 158 190 175 186 What is the test statisic? t-L」(Round to three decinal places as needed ) dentily the critical value(s) Select the correct choice below and fil the answer box within your choice (Round to three decimal places as needed.) O A. The ortical value is t PrintDone The critical values are t.扣 What is the conclusion? enough evidence to warrant rejection of the ciaim that there s no difference between the reacton tines of the right and left hands There There is

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Answer 1

(d-d)2 27.0400 7.8400 51.8400 96.0400 0.0400 182.8000 Right hand 128 138 160 162 163 Total Left hand 156 158 190 175 186 -28 -20 -30 -13 -23 114 Sample mean dd114-22.8 5 Σ(d-d)2-1182.8000- 6.7602 Sample standard deviation s- 5-1 2-1

Test hypothesis are Halid #0 t_d-ud -22,8-0 s/Vn 6.7602/V5 df-5-1-4 Critical value t 3.746 reject Ho, if t<-3.746 or t3.746 p-value-0.0017 Sincet <-3.746 hence reject the null hypothesis There is enough evidence to warrant rejection of the claim 6.7602/V 7.542