7 A random sample of n = 49 movies from all of the movies produced in...

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7 A random sample of n = 49 movies from all of the movies produced in Hollywood from 2012 to 2018 was collected and the world gross earnings for each movie was recorded (source: https://www.lock5stat.com/datapage3e.html). The sample mean was 135.48 (millions $) and the sample standard deviation was 210.04 (millions $). Analysts wish to create a 95% confidence interval for the mean world gross earnings for all Hollywood movies during those years. A boxplot and a normal probability plot for the sample are included below. i. ii. 2 XX X X 200 400 600 800 100 0 200 400 600 800 Do the boxplot and normal probability plot above indicate that world gross earnings are normally distributed? (1 point) Are the requirements for creating a valid confidence interval satisfied? Explain your answer with a full sentence referring to the validity requirements. (2 points) (Continued from previous page) The partial software output for a 95% confidence interval is given below (The lower and upper limits have been blanked out). N df Lower Limit Upper Limit Interval iii. iv. 49 48 135.48 60.33053 Find the lower limit and the upper limit for the confidence interval. (2 points) Lower limit Upper limit What is the margin of error for the confidence interval? (1 point) V. Write an appropriate interpretation for the confidence interval in the context of the study. (2 points) 7 A random sample of n = 49 movies from all of the movies produced in Hollywood from 2012 to 2018 was collected and the world gross earnings for each movie was recorded (source: https://www.lock5stat.com/datapage3e.html). The sample mean was 135.48 (millions $) and the sample standard deviation was 210.04 (millions $). Analysts wish to create a 95% confidence interval for the mean world gross earnings for all Hollywood movies during those years. A boxplot and a normal probability plot for the sample are included below. i. ii. 2 XX X X 200 400 600 800 100 0 200 400 600 800 Do the boxplot and normal probability plot above indicate that world gross earnings are normally distributed? (1 point) Are the requirements for creating a valid confidence interval satisfied? Explain your answer with a full sentence referring to the validity requirements. (2 points) (Continued from previous page) The partial software output for a 95% confidence interval is given below (The lower and upper limits have been blanked out). N df Lower Limit Upper Limit Interval iii. iv. 49 48 135.48 60.33053 Find the lower limit and the upper limit for the confidence interval. (2 points) Lower limit Upper limit What is the margin of error for the confidence interval? (1 point) V. Write an appropriate interpretation for the confidence interval in the context of the study. (2 points)