A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy
A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Assume that the population variances are approximately equal.
Box Office Revenues (Millions of Dollars)
n x¯ sDrama 12 140 60
Comedy 19 110 40
Calculate a 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies. Let dramas be Population 1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places.