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Mathematics, 06.05.2020 05:36 mrashrafkotkaat

Metacritic is a website that aggregates reviews of music, games, and movies. For each product, a numerical score is obtained from each review and the website posts the average core as well as individual reviews. The website is somewhat similar to Rotten Tomatoes, but Metacritic uses a different method of scoring that converts each review into score in 100-point scale. In addition to using the reviewers quantitative ratings (stars, 10-point scale), Metacritic manually assesses the tone of the review before scoring. Historical data shows that these converted scores are normally distributed. One of the movies that the Metacritic rated was Zootopia. Based on the data from Metacritic on November 20, 2017, there are n=43 reviews, the sample average score is 77.86, and the sample standard deviation is 11.30.
A 95% confidence interval for the true average score (µ) of Zootopia is:

a) [75.21, 81.50]
b) [76.38, 80.34]
c) [77.15, 82.84]
d) [78.96, 81.76]
e) None of the above

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