1. State an example of a statistic from the article. Explain why this is a statistic.
(3 pts)
2. State an example of a parameter from the article. Explain why this is a parameter.
(3 pts)
3. State 2 measures of center that are used in the article.
(2 pts)
4. State 2 measures of variation that are used in the article.
(2 pts)
5. Examine the two dotplots (figure 2 pg. 136 and figure 4 pg. 137) and compare the variations in each. Are they different, the same? How do you know?
(3 pts)
6. Name another visual display we could have used to show the student predictions.
(2 pts)
7. Draw a boxplot using the student data in figure 4 on page 137.
(3 pts)
8. What conclusions can you draw from the boxplot? Think about the shape of the distribution of data, the outliers, what type of measures of center would be best to use.
(4 pts)
9. Using the data from Table 1 on pg. 138, answer the following questions:
a. If you were to randomly select a pop from a group, are the group proportions disjoint? Explain.
(2 pts)
b. Find the probability that if a randomly selected pop was selected from group 1 or group 3 in 2013 that the pop contains a full image of Chief Shooting Star.
(2 pts)
c. If you were to randomly select two pops are these proportions independent? Explain.
(2 pts)
d. Find the probability that if 2 pops are randomly selected from that they are selected from group 1 and group 3.
(2 pts)
10. Using the 2015 data in Table 1 on pg. 138, construct a 95% confidence interval for the true proportion of Tootsie Pops that contain a full Chief Shooting Star image. Interpret your interval.
(5 pts)
11. It is claimed by the Tootsie Roll Company that any image should appear on every 0.125 pops. Using the 2014 data, test this claim at the 0.05 significance level. Be sure to state the null and alternative hypothesis and the conclusion in both technical and non-technical terms. You are free to use the p-value or critical region methods to test.
(7 pts)
12. The researchers used the 2013 data to show that the claim of the company seemed to be incorrect. Imagine you are a research firm hired by the company to confirm their claim (they are REALLY interested in Chief Shooting Star images). What could you do to ensure that their claim is statistically significant? The p-hacking reading from the hypothesis test section should help with your argument.
(3 pts)