Generate random normal samples on your TI Nspire CAS calculator to simulate the distribution of sample means.

Activity 1

• Use a CAS to generate one sample of size 50 from a normally distributed population with a mean of 40 and a standard deviation of 5.

Activity 2

• Generate 100 samples of size 50 from a population that is normally distributed with a mean of 40 and a standard deviation of 5.
• Calculate the mean of each sample and plot the distribution of the sample means

Deduce the effect of sample size on the sampling distribution of the sample means.

Follow up with typical exam questions on the distribution of sample means.

Detailed CAS instructions provided in the power point and handout.