Question

In a test of reaction time, we want to know if there is a difference in the speed at which people click on small vs. large buttons. 10 participants are presented with large button sizes and reaction times are measured (in milliseconds). Then 10 different participants, matched in age, are presented with small button sizes, then reaction times are measured. Use an alpha of .05. See below table for summary data:

	Mean	Standard Deviation
Large Buttons	681.60	35.22
Small Buttons	756.80	32.13
Difference	??	28.78

State the hypotheses.Set rejection criteria. Compute the test statistic (i.e., standardized score). Make a statistical determination.

Answer 1

X, speed at which people click on small button. X, speed at which people click on Targe botton & x = 681.60 ni=10 S₂ = 32. 13 =10 X2 = 756.80 S = 35.22 s= 28.78 d =0.05 we have to test that then is difference in average speed at which pople click on small button as large. button lie. Ho: ll, = all vs HIM, & le content

= 28.78 0.1to.. = 28.78 s t = soliti Jn 12 / 1 t 10 V 10 = 28.78 (0.4472) o - 12.871 S.E. test statistic t = x - x2 = 681.60 - 756.80 SE 12.87 I t = -5.84 75.2 12.871 d. f = nithar- 2 - lotio-2 =18 o b pvalue = 2 * Pltar > Iti). = 2 & plt 18 > 1-5.84) = 2 * pltiz 584) = 2 & [ - P(ti8 25-24)]

P value o Decision Reject Ho if p valve za Here Pvalue = 0 L 2 =0.05 i we reject Ho. Conchesion we may conclede that there is sufficient evidence to support that there is differences in average speed at which people click on small buttons vs large buttons.