6.1 solutions

# If you increase the confidence level to 99 in this

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e. If you increase the confidence level to 99% in this problem, what happens to the margin of error? (Assume nothing else in the problem has changed.) a. The margin of error would increase b. The margin of error would decrease c. The margin of error would stay the same f. If the population standard deviation were to increase in this problem, what would happen to the margin of error? (Assume nothing else in the problem has changed.) a. The margin of error would increase b. The margin of error would decrease c. The margin of error would stay the same 1

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2. Students at the union are concerned with the amount of coffee being dispensed from a certain coffee machine. The amount dispensed by the machine is supposed to be 5.5 ounces per cup on average. They want to estimate the average number of ounces of coffee in a cup. They take a random sample of 40 cups and find the mean is 5.2 ounces. (Assume amount dispensed has a normal distribution and that the standard deviation is set at 0.24 ounces per cup.) a. Find a 95% confidence interval for the average amount of coffee being dispensed by this machine. 5.2 ounces ounces (5.126 to 5.274 ounces) b. Based on the data do the students have a legitimate complaint about the machine not giving them enough coffee on average? Yes because the range of likely values for the average amount of coffee (as seen in the above confidence interval) are all below 5.5.
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