Question

If Brooklyn College students have an IQ of 100, on average, with a standard deviation of 16 points, and I collect 48 BC Psychology students to see how Psych majors compare to all of BC, find the following:_______.

1. mu =
2. sigma =
3. mu _x bar =
4. sigma _x bar =

Answer 1

1
`\mu = 100`

2
`\sigma = 16`

3
`\mu_x = 100`

4
`\sigma _(\= x ) = 2.309`

Explanation:

From the question

The population mean is
`\mu = 100`

The standard deviation is
`\sigma = 16`

The sample mean is
`\mu_x = 100`

The sample size is
`n = 48`

The mean standard deviation is
`\sigma _(\= x ) = (\sigma )/(√(n) )`

substituting values

`\sigma _(\= x ) = (16 )/(√(48) )`

`\sigma _(\= x ) = 2.309`