Question 1) (8 points) Suppose you're interested in studying the lengths of western diamondback rattlesnakes. To do this you randomly select and capture 18 rattlesnakes and measure their lengths in inches. You get the following data: 37, 40, 43, 46, 46, 49, 50, 50, 52, 52, 52, 54, 56, 58, 58, 59, 62, 69 (a) Calculate the mean and standard deviation of this data set. Keep one decimal place for each measure. Make sure to include units. (b) Create a split stemplot to display this data. Describe the shape of the distribution. (c) Would it be appropriate to apply the Empirical Rule here? Why or why not? (d) Regardless of your answer to (c), according to the Empirical Rule between what two values should 95% of the data land? (e) What percent of the data actually lands between the two values you listed in (d)? 2 Question 2) (9 points) Suppose that a researcher works for a group called Animal Rights for All, that advocates for extra funding for animal shelters and animal charities. They want to know Californians' opinions about additional taxes that would be used to support animal rights and animal organizations. To do this they first divide California into three major regions, Northern California, Central Califor- nia, and Southern California. They then randomly choose 1000 people from each region (so 3000 people overall) and mail them each a survey with the name of their organization and the following question, "Considering that animals are living beings that deserve respect and care, how support- ve are you of paying additional taxes that would be used exclusively for animal wellness? Very Supportive, Supportive, Neutral, or Not Supportive" Of the 3000 people they mail their survey to, 250 respond. They get the following data: Response Frequency Very Supportive 39 Supportive 63 Neutral 54 Not Supportive 94 (a) What was the population of interest? (b) What was the sample? (c) What type of sampling technique was used to build this sample? (d) Construct a relative frequency table for your data and use this to draw a relative frequency bar graph for this data. (e) Describe TWO forms of bias present in this study. This means that you should state the form of bias and describe why it occurs. (f) What percentage of people surveyed said they were either Very Supportive or Supportive