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

Answer:

1  $\mu = 100$

2 $\sigma = 16$

3 $\mu_x = 100$

4 $\sigma _{\= x } = 2.309$

Step-by-step 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  $\sigma _{\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

     $\sigma _{\= x } = \frac{16 }{\sqrt{48} }$

     $\sigma _{\= x } = 2.309$