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Statistics for Data Science II · End Term · 14 Sept 2025 · May 2025 term · Set 1

Question 11: A nutrition company claims that the average protein cont…

Question 11

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A nutrition company claims that the average protein content of its energy bars is 20 grams, with a known standard deviation of 4 grams. A sports academy suspects that the actual mean protein content may be less than 20 grams. To test the claim, the academy collects a random sample of 64 bars. The academy decides to reject the company’s claim if the mean protein content of the sample and accepts it otherwise. Assuming that the company’s claim is true, what is the probability that the academy rejects the claim?

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Question 11 of 27 in the IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 14 Sept 2025, in the May 2025 term (Statistics2 14 Sep 25 (Session 2)). It carries 3 marks.

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