Chapter 2, Section 4, Exercise 132 INVESTIGATING HOLLYWOOD MOVIES In the followi

Question

Chapter 2, Section 4, Exercise 132 INVESTIGATING HOLLYWOOD MOVIES In the following exercise, we use data from HollywoodMovies2011. The dataset includes information on all 136 movies to come out of Hollywood in 2011. Do Movie Budgets Differ Based on the Genre of the Movie? The dataset HollywoodMovies2011 includes a quantitative variable on the Budget of the movie, in millions of dollars, as well as a categorical variable classifying each movie by its Genre. Figure 1 shows side-by-side boxplots investigating a relationship between these two variables. (We use four of the possible categories in Genre for this question.) Figure 1 Movie budgets (in millions of dollar) based on genre Click here for the dataset associated with this question. (a) Which genre appears to have the largest budgets? Action Animation Comedy Drama Horror Romance Thriller SHOW HINT (b) Which genre appears to have the smallest budgets? Check all that apply. Action Animation Comedy Drama Horror Romance Thriller SHOW HINT (c) Which genre has the biggest spread in its budgets? Which has the smallest spread? SHOW HINT (d) Does there appear to be an association between genre of a movie and size of the budget? Yes No SHOW HINT

Explanation / Answer

We expect means of samples of size 30 to be much less spread out than values of budgets of
individual movies. This leads us to conclude that Boxplot A represents the sampling distribution
and Boxplot B represents the values in a single sample. We can also consider the shapes. Boxplot
A appears to be symmetric and Boxplot B appears to be right skewed. Since we expect a sam-
pling distribution to be symmetric and bell-shaped, Boxplot A is the sampling distribution and the
skewed Boxplot B shows values in a single sample.
(b) Boxplot B shows the data from one sample of size 30. Each data value represents the budget,
in millions of dollars, for one Hollywood movie made in 2011. There are 30 values included in the
sample. The budgets range from about 1 million to 145 million for this sample. We see in the
boxplot that the median is about 30 million dollars. Since the data are right skewed, we expect the
mean to be higher. We estimate the mean to be about 40 million or 45 million. This is the mean
of a sample, so we have x-mean is approximately 45 million dollars.
(c) Boxplot A shows the data from a sampling distribution using samples of size 30. Each data
value represents the mean of one of these samples. There are 1000 means included in the distri-
bution. They range from about 27 to 79 million dollars. The center of the distribution is a good
estimate of the population parameter, and the center appears to be about mu is approximately 53
million dollars, where mu represents the mean budget, in millions of dollars, for all movies coming
out of Hollywood in 2011.)

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.