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Movie Lengths 23 movies with a rating of PG or PG-13 have lengths with a mean of 120.8 minutes and a standard deviation of 22.9

Movie Lengths 23 movies with a rating of PG or PG-13 have lengths with a mean of 120.8 minutes and a standard deviation of 22.9 minutes. There are also 12 movies with an R rating whose lengths have a mean of 118.1 minutes and a standard deviation of 20.8 minutes.

a) Construct a 95% confidence interval estimate of the standard deviation of the lengths of movies with a PG or PG-13 rating.

b) Construct a 95% confidence interval estimate of the standard deviation of the lengths of movies rated R.

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