It is common for manufacturers of machines that measure to describe the tolerance levels of their machines. For example, a company that manufactures odometers (that measure mileage on a car) would want to know how accurate their product is. (The federal government, which allows tax deductions based on mileage, also is interested in such information.) Suppose 100 new cars (with new odometers) traveled over a 100-mile course (as determined by surveying) and the following statistics were obtained. Establish a 95% confidence interval about the mean and carefully explain in a sentence the interpretation of the confidence interval. $$\bar { X } = 100.9 \pm .46 \quad \hat { s } = 2.3 \quad N = 100$$ Write the t value you would use if you were asked to establish a 90% confidence interval.

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The Answer of It is common for manufacturers of machines that measure to describe the tolerance levels of their machines. For example, a company that manufactures odometers (that measure mileage on a car) would want to know how accurate their product is. (The federal government, which allows tax deductions based on mileage, also is interested in such information.) Suppose 100 new cars (with new odometers) traveled over a 100-mile course (as determined by surveying) and the following statistics were obtained. Establish a 95% confidence interval about the mean and carefully explain in a sentence the interpretation of the confidence interval. $$\bar { X } = 100.9 \pm .46 \quad \hat { s } = 2.3 \quad N = 100$$ Write the t value you would use if you were asked to establish a 90% confidence interval.

It Is Common for Manufacturers of Machines That Measure to Describe