According to the document Market Survey of Long-Term Care Costs, published by the MetLife Mature Market Institute, the average cost of a private room in a nursing home was

$239 per day in 2011. A random sample of 11 nursing homes yielded the following daily costs, in dollars, for a private room in a nursing home for this year.
265 283 266 366 243 334 213 266 140 276 292 Use the technology of your choice to perform the following tasks.

a. Apply the t-test to decide at the 5% significance level whether this year’s average cost for a private room in a nursing home exceeds that in 2011.

b. Repeat part

(a) by using the Wilcoxon signed-rank test.

c. Obtain a normal probability plot, a boxplot, a stem-and-leaf diagram, and a histogram of the sample data.

d. Discuss the discrepancy in results between the t-test and the Wilcoxon signed-rank test.
Working with Large Data Sets