to fill up the tank once the "Low Fuel"icon lit up on the dashboard. Here are the results of 20 random fill-ups (in gallons): (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 u to fill your gas tank, we have to assume that X is normally distributed. Why is this a reasonable assumption based on the box plot and histogram? Please note that this question is asking about the shape of X and not X. (b) The sample mean i for the gas fill-up data is: Construct and evaluate a two-sided 95% confidence interval for µ. The population standard deviation is o =0.09 gallons. (c) Using the same data set to construct a 99% confidence interval for u, the width of the interval: A. Increases B. Decreases C. Is not affected D. Not enough information

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