Refer to the data set gravity.csv.

a. How many outliers are in the data?

b. Explain why it is appropriate to use the methods of this section to find a confidence interval for the mean, even though the data contain outliers.

c. Find a 95\% confidence interval for the mean measurement of the acceleration due to gravity.

Gravity Data Set:

This data set contains 200 measurements of the acceleration due to gravity made in a certain location. The data set contains deviations of the measurements from a base value of approximately \(9.8 \mathrm{~m} / \mathrm{s}^{2}\), in units of \(10^{-8} \mathrm{~m} / \mathrm{s}^{2}\). There is only one variable in this data set:

Gravity Acceleration due to gravity, expressed as the deviation from base value in units of \(10^{-8} \mathrm{~m} / \mathrm{s}^{2}\)