1. If sample size is16 andalpha(two-tail)=0.05,whatis the t-table value?

• 1.746
• 2.131
• 1.753
• 2.120

1. What is the best way to sample 500 sets of 20 data points from the Cauchy distribution?

• c = rand(500);
• c = trnd(500,20);
• c = randn([20,50,10]);
• c = trnd(1,[500,20]);
• c = randn(20,500);
• c = rand('cauchy',20 500);

1. Select all of the statements that are true of the Cauchy distribution.

• It can be made identical to a normal distribution by adjusting the parameters.
• A large number of samples from a Cauchy distribution will give a better estimate of its true mean.
• The tails of the Cauchy pdf are uniform past +/- gamma from x_0.
• The total area under the curve for the Cauchy pdf is always 1.0.
• The Cauchy pdf is not symmetric.

1. Select all of the examples which illustrate the Law of Large Numbers.

• The more times you flip a coin, the closer the ratio of heads to tails gets to 1/1.
• The larger the true mean of a distribution is, the more likely that the mean of a sample from that distribution will be close to the true mean.
• If you roll a 6 on a die, the next roll will be a 1 to even out the distribution.
• The mean of a height measurement from 63% of a group is more likely to be near the true mean height of the group than the mean of a height measurement from 39% of the group.
• The more trials in an experiment, the more likely you are to reject the null hypothesis.