An animal trainer obtains the following sample data (table A)in a study of react
ID: 2953820 • Letter: A
Question
An animal trainer obtains the following sample data (table A)in a study of reaction times of dogs (in seconds) to a specificstimulus. He then selected another group of dogs that were mucholder than the 1st group and measure their reaction times to thesame stimulus (Table B). -Find the variance and standard deviations for the 2distributions below. -Decide if one data set is more variable than the other. TableA Table B Classes Frequency Classes Frequency 2.3-2.9 32 2.3-2.9 13 3.0-3.6 17 3.0-3.6 12 3.7-4.3 25 3.7-4.3 20 4.4-5.0 14 4.4-5.0 13 5.1-5.7 4 5.1-5.7 3 5.8-6.4 20 5.8-6.4 18 An animal trainer obtains the following sample data (table A)in a study of reaction times of dogs (in seconds) to a specificstimulus. He then selected another group of dogs that were mucholder than the 1st group and measure their reaction times to thesame stimulus (Table B). -Find the variance and standard deviations for the 2distributions below. -Decide if one data set is more variable than the other. TableA Table B Classes Frequency Classes Frequency 2.3-2.9 32 2.3-2.9 13 3.0-3.6 17 3.0-3.6 12 3.7-4.3 25 3.7-4.3 20 4.4-5.0 14 4.4-5.0 13 5.1-5.7 4 5.1-5.7 3 5.8-6.4 20 5.8-6.4 18 2.3-2.9 32 2.3-2.9 13 3.0-3.6 17 3.0-3.6 12 3.7-4.3 25 3.7-4.3 20 4.4-5.0 14 4.4-5.0 13 5.1-5.7 4 5.1-5.7 3 5.8-6.4 20 5.8-6.4 18Explanation / Answer
x.j5tyle="border-collapse: collapse; width: 559pt;" width="744" border="0" cellpadding="0" cellspacing="0"> Group A Classes Frequecy (f) Mid value (x) fx x-m sq(x-m) f.sq(x-m) 2.3-2.9 32 2.6 83.2 -1.40625 1.977539 63.28125 3.0-3.6 17 3.3 56.1 -0.70625 0.498789 8.479414 3.7-4.3 25 4 100 -0.00625 3.91E-05 0.000977 4.4-5.0 14 4.7 65.8 0.69375 0.481289 6.738047 5.1-5.7 4 5.4 21.6 1.39375 1.942539 7.770156 5.8-6.4 20 6.1 122 2.09375 4.383789 87.67578 sum 112 448.7 173.9456 Mean (m)= 4.00625 So varian