In: Statistics and Probability
he following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. 5.20 5.72 4.38 4.80 5.02 4.57 4.74 5.19 5.43 4.76 4.56 5.71
(a) Determine a point estimate for the population mean.
(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater.
(c) Construct and interpret a 99% confidence interval for the mean pH of rainwater.
When finding the confidence intervals, if there are outliers in the given data, then the mean value will be greater and the variance will be larger. When the outliers are removed, the confidence interval will shift to the left and confidence interval will be narrower.