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1. It is known that the average price for a cappuccino in a restaurant is R15.40 with a standard deviation of R1.20. What is the probability that the sampling error for the mean is less than 0.20 for a sample of 32 restaurants? 2. It is known that, when given a choice between ordering an espresso or a cappuccino, 63% of people will order the cappuccino. For a sample of 253 people, what is the probability that sampling error for the proportion will be greater than 0.05? 3. Fifteen employees of a large manufacturing company were involved in a study to test a new production method. The mean production rate for the sample of 15 employees was 63 components per hour and the standard deviation was 8 components per hour. Calculate the margin of error for the mean number of components produced per hour at a 5% level of significance.
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