Test the effect of an outlier as follows: Use the sample data in Table 6-1 to find a 95% confidence interval estimate of the population mean, but change the first entry from 36.4 to 364. Nobody can really have that high a body temperature, but such an error can easily occur when a decimal point is inadvertently omitted when the sample values are entered.
a. Find the 95% confidence interval.
b. By comparing the result from part (a) to the confidence interval found in this section, describe the effect of an outlier on a confidence interval. Are the confidence interval limits sensitive to outliers?
c. Based on part (b), how should you handle outliers when they are found in sample data sets that will be used for construction of confidence intervals?