The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manutacturer tells you that the net weight is actually a Normal random variable with a mean of 5 standard deviation of 0.23 ounces. Suppose that you draw a random sample of 42 cans Part i) Using the information about the distribution of the net weight given by the manufacturer, find the probability that the mean weight of the sample is less than 5.92 ounces. (Please carry a six decimal places in intermediate steps. Give your final answer to the nearest thiree decimal places) Probability (as a proportion) Part ii) Use normal approximation to find the probability that more than 46.8% of the sampled cans are overweight (e the net weight exceeds 6 ounces) DA. 0.4975 OB. 0,6028 O C. 0.3972 D. 0.5025

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