Question

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 studios 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)

	n	x̄	s
comedy	13	140	20

step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below.

$h_0:mu_1-mu_2 = 0$
$h_a:mu_1-mu_2$ ____ 0

answer

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Explanation:

Step1: Understand the claim

The studio believes dramas draw a larger crowd (higher box - office revenue) than comedies. So, we want to test if the mean of population 1 (dramas) is greater than the mean of population 2 (comedies).

Step2: Determine the alternative hypothesis

Since we are testing if $\mu_1>\mu_2$, which is equivalent to $\mu_1 - \mu_2>0$.

Answer: