When typing your answers be sure to highlight your solutions so we can read it. The cost to make movies can be very inexpensive to very expensive especially depending on the genre of the movie. In the following Google Spreadsheet, there are 5222 movie titles and their budgets. We are interested in estimating the population mean budget for making a movie . Part 1 We need a random sample. 1. [2 pts] What sample size is appropriate for the budget of movies? Why? 2. [1 pt] What theorem is needed to meet the normality condition? To randomly sample the appropriate number of the budget of movies. Copy the Google Spreadsheet Paste into a new Google Spreadsheet . . Type the sample size in the red box to create a random sample (it takes a moment for your sample to load) Copy your random sample below [2 pts] Your Random Sample: Part 2 1. [1 pts] Using your data from above copy it into GeoGebra Spreadsheets. Find your sample mean, and standard deviation. State them below.6 The Avengers 225 Sample of movie budget in $millions. 7 Furious 7 190 8 Avengers: Age of Ultron 330.6 Sample size 17 9 Harry Potter and the Deathly Hallows: Part II 125 10 Star Wars Ep. VIII: The Last Jedi 200 20 11 Frozen 150 13 12 Beauty and the Beast 160 10 13 The Fate of the Furious 250 5 14 Iron Man 3 200 0.6 15 Minions 74 1.5 16 Captain America: Civil War 250 24 17 The Lord of the Rings: The Return of the King 94 25 18 Transformers: Dark of the Moon 195 105 19 Skyfall 200 6.5 20 Transformers: Age of Extinction 210 2 21 The Dark Knight Rises 275 10 22 Toy Story 3 200 60 23 Pirates of the Caribbean: Dead Man's Chest 225 15 24 Rogue One: A Star Wars Story 200 10 25 Pirates of the Caribbean: On Stranger Tides 410.6 25.53 26 Jurassic Park 63 5.2When typing your answers be sure to highlight your solutions so we can read it. 2. [5 pts] Construct a 95% confidence interval (GeoGebra Probability). State your interval below and interpret your interval in the context of the problem including the margin of error. Include a screenshot of your GeoGebra output. Part 3 Conduct another random sample with a larger sample size. 1. [0.5 pt] What is your new sample size? 2. [1.5 pts] Copy your random sample below. 3. [1 pts] Find the sample mean, and standard deviation. State them below. 4. [5 pts.] Construct a 95% confidence interval. State your interval in the context of the I problem including the margin of error. Include a screenshot of your GeoGebra output. 5. [3 pts] Discuss how the two confidence intervals are different. 6. [3 pts] The population mean for the budget of movies is $32.56 million dollars. What can you conclude about your confidence interval in relation to the population mean
