The dataset HollywoodMovies2011 contains information on all 136 movies to come out of Hollywood in 2011. We see in Exercise B.13 that 27 of the movies were comedies. If we take 1000 samples of size n = 25 from this dataset and record the proportion of movies in the sample that are comedies, we get the sampling distribution shown in Figure B.6. In each case below, fill in the blank with the best option provided.
(a) The standard error of this sampling distribution is approximately ......................

0.02        0.07        0.13        0.17        0.20

(b) If we create a new sampling distribution using  samples of size n = 40, we expect the center  of the new distribution to be the................center of the distribution shown in Figure B.6.  smaller than about the same as larger than

(c) If we create a new sampling distribution using  samples of size n = 40, we expect the standard  error of the new distribution to be...................the standard error of the distribution shown in  Figure B.6. smaller than about the same as larger than.

(d) If we create a new sampling distribution using  5000 samples of size n = 25, we expect the center  of the new distribution to be the....................center of the distribution shown in Figure B.6. smaller than about the same as larger than

(e) If we create a new sampling distribution using  5000 samples of size n = 25, we expect the...............standard error of the new distribution to be the standard error of the distribution  shown in Figure B.6.

Exercise B.6

Data 2.7 on page 93 introduces the dataset HollywoodMovies2011, which contains information on all 136 movies to come out of Hollywood in 2011. Twenty-seven of those movies were comedies.

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220 200 180 160 140 120 100 80 60 40 20 0.1 Sample_Proportions 0.3 0.0 0.2 0.4 Frequency of Sample_Proportions