(8 Marks) Case 2 Home Theater in a Box A home theater in a box is the easiest and cheapest way to provide surround sound for a home entertainment center. A sample of prices is shown here (Consumer Reports Buying Guide, 2004). The prices are for models with a DVD player and for models without a DVD player. SIS Models with DVD Player Sony HT-1800DP Pioneer HTD-330DV Sony HT-C800DP Panasonic SC-HT900 Panasonic SC-MTI Price $450 300 400 500 400 Models without DVD Player Pioneer HTP-230 Sony HT-DDW750 Kenwood HTB-306 RCA RT-2600 Kenwood HTB-206 Price $300 300 360 290 300 Required Tasks: 1. Compute the mean price for models with a DVD player and the mean price for models without a DVD player. What is the additional price paid to have a DVD player included in a home theater unit? 2. Compute the range, variance, and standard deviation for the two samples. What does this information tell you about the prices for models with and without a DVD player? 3. Compute the first quartile Q1, the third quartile Q3, and the interquartile range for each sample. 4. List the five-number summary and construct a boxplot and describe its shape for each sample