When 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?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