Question

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.

Answer 1

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