Question

A professor records the time (in minutes) that it takes 16 students to complete an exam....

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.) 53 39 23 24 32 22 38 47 43 20 44 42 13 31 32 37 (a) the 16 students constitute a population SS Incorrect: Your answer is incorrect. variance Incorrect: Your answer is incorrect. standard deviation Incorrect: Your answer is incorrect. min (b) the 16 students constitute a sample SS variance standard deviation min

Homework Answers

Answer #1

Ans:

xi (xi-33.75)^2
1 53 370.5625
2 39 27.5625
3 23 115.5625
4 24 95.0625
5 32 3.0625
6 22 138.0625
7 38 18.0625
8 47 175.5625
9 43 85.5625
10 20 189.0625
11 44 105.0625
12 42 68.0625
13 13 430.5625
14 31 7.5625
15 32 3.0625
16 37 10.5625
Total 540 1843
mean 33.75

a)

SS=1843

population variance=1843/16=115.1875

population standard deviation=sqrt(115.1875)=10.7325

b)

SS=1843

sample variance=1843/(16-1)=122.8667

sample standard deviation=sqrt(122.8667)=11.0845

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