1. You are up for a promotion at your work and you know that you needed to get at least 24.6 sales exactly this month to be set for the promotion. The average number of sales in your store was 24 with a standard deviation of 2 (normal distribution). Based on this distribution what would be the likelihood you will be getting your promotion? Make sure to show and explain you work. Credit is given both for getting the right answer as well as showing the steps that led you there.

2. We are interested in examining scores on tests of academic achievement for a group of third graders at a nearby school in social studies. The hope is we can take a sample of these students' scores and generalize them to third graders in the entire state.

What sample size might be better and why: 3 or 300?

For the above problem, if the overall score of the class is an average of 30, what is the probability that in a random sample of 17 students the score will be above 40? Show your work and clearly label where each number is coming from. (SD=10)

3) Provide a general understanding of standard error.

4) How does standard error relate to increased sample sizes?

5) Propose an example study in which you test differences between two different ways of teaching dogs how to respond to being told to fetch a stick. Write down the null hypothesis and an alternative hypothesis. Please explain why these two hypotheses are different and what it would mean to reject the null.