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One-Sample z Interval Homework 1. The gas mileage for a certain model of car is known to have a standard deviation of 5 mpg. A simple random sample of 64 cars of this model is chosen and found to have a mean gas mileage of 27.5 mpg. Construct and interpret a 95% confidence interval for the mean gas mileage for all cars of this model. P: Identify the population of interest and the parameter you want to estimate. A: Verify the assumptions/conditions. Random. Normal. Independent. N: Name the appropriate inference procedure. I: Carry out the inference procedure. Carry out the interval. ̅ √ C: State your conclusion in the context of the problem. 2. The mean height of a random sample of 70 Washburn students is 65 inches. Suppose the standard deviation of all Washburn student heights is 3 inches. Construct and interpret a 90% confidence interval for the mean height of all Washburn students.