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Chapter 6: Q3 (page 272)

Notation In general, what do the symbols 渭x炉 and 蟽x炉 represent? What are the values of 渭x炉and 蟽x炉for samples of size 64 randomly selected from the population of IQ scores with population mean of 100 and standard deviation of 15?

Short Answer

Expert verified

Symbols:

渭x炉represents the mean value of all sample means.

蟽x炉represents the standard deviation of all the sample means.

For the given values of sample size and population parameters, the values of 渭x炉 and 蟽x炉 are as follows:

  • 渭x炉=100
  • 蟽x炉=1.875

Step by step solution

01

Given information

It is given that 64 random samples have been considered from the population of IQ scores with a population mean equal to 100 and population standard deviation equal to 15.

02

Notations

The symbol 渭x炉denotes the mean value of all sample means.

The symbol 蟽x炉denotes the standard deviation of all the sample means.

Here, the value of the population mean is equal to:渭=100

The value of the population standard deviation is equal to: 蟽=15

The sample size (n) is equal to 64.

The values of 渭x炉 and 蟽x炉are computed below:

渭x炉=渭=100

蟽x炉=蟽n=1564=1.875

Therefore, the value of 渭x炉 is equal to 100 and the value of 蟽x炉 is equal to 1.875.

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