Suppose you have drawn simple random

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1. University X has 20,000 students. Suppose you have drawn a simple random sample of 600 students from University X. In this sample, 240 students own Apple iPhones. At a 95% level of confidence, test the null hypothesis that not more than 7500 students at University X own Apple iPhones. (Show work)

2. A machine produces drive shafts. Manufacturing currently takes samples of 10 shafts every half an hour to check if the process is in control. Control limits have been set at ± 3 standard deviations of the sample means and are set at 10 ± 3´0.001 cm. A suggestion calls for control limits to be tightened to ± 2 standard deviations, i.e., 10 ± 2´0.001 cm. As a result, will the proportion of shafts produced that are defective (outside specification limits) will (a) increase, (b) decrease, or (c) remain unchanged? Explain in less than 50 words.

Reference no: EM132262133

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