2) How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 90% confidence that the sample mean is within 4 minutes of the population mean, and the population standard deviation is known to be 12 minutes. a. Shade and label the missing parts in graph for a 90% confidence interval. Area to the left = Area in the middle = Area to the right = z = b. The minimum number of commuters that must be randomly selected to be within 4 minutes is _____.
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Since the area in the middle is 90%, the area in each tail will be (100% - 90%)/2 = 5%. Now, we can use a z-table or calculator to find the z-score corresponding to an area of 0.95 (since we want the area to the left to be 95%, which includes the 90% in the Show more…
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