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 7 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
At the 5% level of significance, does the data provide enough evidence to conclude that the mean cost of a private room in a nursing home this year has changed from the 2011 mean cost?