Answer to Question #130231 in Statistics and Probability for Aleeya

Question

1). A company sells packets of durian crackers that they claim on average, contains at least 20g of durian crackers. They admit that their claim is wrong (and will refund any money), if a sample of 40 durian crackers have a mean less than 19.8g. If the standard deviation is 0.5g, determine the critical value that specifies the rejection region.

2). A researcher wishes to test the claim of a particular cereal manufacturer that the mean weight of cereal in the boxes is less than 300g. A sample of 50 boxes yields a sample mean weight of 296g. Assume that the population standard deviation is 5g.

Can we conclude that the claim is true? 1.Test at α = 0.05. [5 marks]
2.Obtain a 95% confidence interval for μ. (5marks)

Answer 1

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