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Boxplot and Histogram Assignment | Professional Writing Services

The car’s owners manual said that it had a 10-gallon gas tank. You kept track of the number of gallons of gas

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needed to fill up the tank once the “Low Fuel” icon lit up on the dashboard. Here are the results of 20 randon fill-ups (in-gallons): 10.27, 10.15, 10.18, 10.05, 10.08, 10.11, 10.12, 10.29, 10.10, 10.19, 9.96, 10.14 10.16, 10.29, 10.23, 10.19, 10.10, 10.33, 10.06, 10.18

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(a) Let X represent the number of gallons of gas needed to fill your car’s gas tank. In order to

use the formula from the lesson to construct a confidence interval for the true mean number of gallons of gas μ to fill your gas tank, we have to assume that  is normally distributed. Why is this a reasonable assumption based on the boxplot and histogram? Please note that this question is asking about the shape of  x-bar  and not X.

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