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Exercises 1–5

1. Suppose a random sample of size ten produced the following ratings in the computer games rating example in the
last lesson: 12, 5, 2, 4, 1, 4, 18, 10, 1, 16. Estimate the population mean rating based on these ten sampled ratings.

User Odrade
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1 Answer

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Answer: The estimated value for population mean rating based on these ten sampled ratings is 7.3 .

Explanation:

Given : A random sample of size ten produced the following ratings in the computer games rating example in the last lesson:

12, 5, 2, 4, 1, 4, 18, 10, 1, 16.

Let x denotes any value in the above data.


{\sum_(i=1)^(10)x_i}{10}=73

We know that the sample mean
(\overline{x}) is the best estimate to the population mean
(\mu).

Sample mean=
\overline{x}=(\sum_(i=1)^(n)x_i)/(n)

Here , n= 10


\overline{x}=(\sum_(i=1)^(10)x_i)/(10)


\overline{x}=(73)/(10)=7.3

Therefore , the estimated value for population mean rating based on these ten sampled ratings= 7.3

User Cybergoof
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