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The sample of eight companies in the aerospace industry,
Chapter 3, Problem 42E(choose chapter or problem)
Problem 42E
The sample of eight companies in the aerospace industry, referred to in Exercise 36, was surveyed as to their return on investment last year. The results are: 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6.
a. Compute the sample variance.
b. Determine the sample standard deviation.
Questions & Answers
QUESTION:
Problem 42E
The sample of eight companies in the aerospace industry, referred to in Exercise 36, was surveyed as to their return on investment last year. The results are: 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6.
a. Compute the sample variance.
b. Determine the sample standard deviation.
ANSWER:
Solution
Step 1 of 2
a) We have to find the sample variance
The given sample is 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, 15.6
Here the sample mean
=(10.6+12.6+14.8+18.2+12.0+14.8+12.2+15.6)/8
=110.8/8
=13.85
The sample variance is denoted by
The sample variance
=
=42.06/7
=6.0086
Hence the sample variance is 6.0086