Nestor Milk Powder is sold in packets with an advertised mean weight of 1.5kgs. The standard deviation is known to be 184 grams. A consumer group wishes to check the accuracy of the advertised mean and takes a sample of 52 packets finding an average weight of 1.49kgs. What is the set of hypotheses that should be used to test the accuracy of advertised weight?
(a) What are the two hypotheses being investigated?
(b) In the context of the question, what would be a type I and type II error?
(c) What are the assumptions for this hypothesis test?
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