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Statistics for Data Science II, End Term

May 2026 term, 13 Sept 2026, Set S2

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Figure from the original question paper Question text from the original paper, with its maths as pictures A cereal company fills packets with a mean weight of 300 g. The packet weights are normally distributed with a standard deviation of 8 g. A random sample of 16 packets is selected to test whether the mean filling weight has increased. The test rejects the claim if the sample mean exceeds 303.29 g. Against an alternative mean weight of 304 g, find the power of the test. Enter the answer correct to two decimal places.