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. Do the data substantiate the studio's belief that dramas will draw a larger crowd on average than comedies at a = 0.01? Let dramas be Population 1 and comedies be Population 2. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n x S Drama 14 150 50 Comedy 16 120 20

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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. Do the data substantiate the studio's belief that dramas will draw a larger crowd on average than comedies at
α = 0.01? Let dramas be Population 1 and comedies be Population 2. Assume that the population variances are approximately equal.
Box Office Revenues
(Millions of Dollars)
x
14 150 50
16 120 20
Drama
Comedy
n
Copy Data
Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.
Ho M₁ M₂ = 0
Ha:μ₁-1₂.
S
0
Transcribed Image Text: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. Do the data substantiate the studio's belief that dramas will draw a larger crowd on average than comedies at α = 0.01? Let dramas be Population 1 and comedies be Population 2. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) x 14 150 50 16 120 20 Drama Comedy n Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho M₁ M₂ = 0 Ha:μ₁-1₂. S 0
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