1. The variable AudienceScore in the Hollywood Movies dataset gives an audience rating of all major movies that came out of Hollywood between 2012 and 2018. (Datasets from previous editions have the same name but do not include the same data. Be sure you are using data from the 3" edition. ) a. Use Statkey to generate a dotplot of this variable. Include a screen shot of your Statkey-generated dotplot and summary statistics with your homework submission. (It is fine for this to be a separate file from your scanned PDF copy of your handwritten work on this quiz.) Describe the Shape: b. Find the mean, the standard deviation, and the five number summary for the data in this variable. Write them below. i. Mean: Deviation: iii. Five Number Summary: c. Calculate the IQR. d. Determine by hand whether there are any outliers, using the IQR method. Show all calculations, and list the outliers if there are any. Explain how you know for sure if there aren't. Show your work. ii. Standard 2. For the distribution with the given graph and summary statistics, use the 95% rule with the mean and standard deviation to find an interval that covers approximately the center 95% of the distribution. (This is for the AudienceScore variable in the previous edition's dataset, using movies from 2007-2013...) Summary Statistics Statistic Sample Size Mean Standard Deviation Minimum Q Median Q Maximum IQR: Center 95% interval: Value 907 61.271 16.602 19 49.000 61.000 74,000 96 3. Estimate the center 95% of the distribution of 360 student pulse rates below by looking at the graph. Then use your interval with the 95% Rule to calculate an 70 estimate of the 60 standard deviation. 50 40 Draw vertical lines to mark off your 95% on the graph. Just below here, show your calculations. 30 20 10 0 Center 95% interval from: deviation: Student Pulse Rates. 40 45 50 55 60 65 70 75 80 85 90 95 100 Pulse _to:_ Standard 4. A study was done on the cost of meals when groups pay individually or split the bill. Data are recorded in the data set SplitBill. One of the variables in SplitBill also records the Sex of each subject. Create side- by-side boxplots to compare costs by Sex. a. Sketch the graphs in the box below. Include axis scales/labels as shown in the output you are viewing. b. Comment on the similarities and differences in cost you see between the genders in the graph.