Question

Prof. records the time in minutes does it take 16 students to complete an exam. Compute the SS, the variance, and standard deviation assuming the 16 students constitute a population and assuming the 16 students constitute a sample. Round your answers for variance and standard deviation to two decimal places

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9. + 0.15/1 points Previous Answers PriviteraStats3 4.E.029. My Notes Ask Your Teacher A professor records the time (in minutes) that it takes 16 students to complete an exam. Compute the SS, the variance, and the standard deviation assuming the 16 students constitute a population and assuming the 16 students constitute a sample. (Round your answers for variance and standard deviation to two decimal places.) 3925 33 5021 23 14 56 44 36 2942 (a) the 16 students constitute a population variance standard deviation (b) the 16 students constitute a sample 2082.96 X SS variance standard deviation 138.76 11.78

Answer 1

Here,

population mean = sample mean $= \frac{1}{16}\sum_{i=1}^{16}x_i = 34.75$

population SS =sample SS$= \frac{1}{16}\sum_{i=1}^{16}(x_i - 34.75)^2 = 2083$

population variance = population SS / 16 = 2083 /16 = 130.188

population standard deviation = sqrt(population variance) = sqrt(130.188) =  11.41

sample variance = sample SS / 16 = 2083 /16 = 130.188

sample standard deviation = sqrt(sample variance) = sqrt(138.867) =  11.78