Question

A random sample of 10 boys had the following I.Q.'s : 70, 120, 110, 101,88, 83, 95, 98, 107, 100. Do these data support the assumption of a population mean I.Q. of100 ? Find a reasonable range in which most of the mean I.Q. values of samples of 10 boys lie.​

Answer 1

Given:

Sample of IQs of 10 boys: 70, 120, 110, 101,88, 83, 95, 98, 107, 100

To find:

Mean IQ of the group

Solution:

The mean value is the average value of an observation. It is the sum of a collection of numbers divided by the number of numbers in the collection.

Mean = $\frac{sum of all observations}{No. of observations\\}$

Substituting,

Mean IQ= $\frac{70+120+110+101+88+83+95+98+107+100}{10}$

=$\frac{972}{10}$

= 97.2

Hence, the mean IQ of the group of boys is 97.2.

So, the assumption of a population mean I.Q. of 100 is wrong.

Answer 2

Answer:

Step-by-stp explanation: