In Florida, real estate agents refer to homes having a swimmingpool as pool homes. In this case, Sunshine Pools Inc.markets and installs pools throughout the state of Florida. Thecompany wishes to estimate the percentage of a pool's cost that canbe recouped by a buyer when he or she sells the home. For instance,if a homeowner buys a pool for which the current purchase price is$30,000 and then sells the home in the current real estate marketfor $20,000 more than the homeowner would get if the home did nothave a pool, the homeowner has recouped (20,000/30,000) × 100% =66.67% of the pool's cost.

To make this estimate, the company randomly selects 80 homesfrom all of the homes sold in a Florida city (over the last sixmonths) having a size between 2,000 and 3,500 square feet. For eachsampled home, the following data are collected:Price - selling price (in thousands ofdollars); Size - square footage;Bathrooms - the number of bathrooms;Rating - a niceness rating (expressed asan integer from 1 to 7 and assigned by a real estate agent); andPool - whether or not the home has a pool(1 = yes, 0 = no). The data are given in the fileFloridaPoolHome-Spring2018.

4.         Compute themean selling prices of the homes having a pool and the homes thatdo not have a pool. Assuming that the average current purchaseprice of the pools in the sample is $32,500, estimate thepercentage of a pool's cost that can be recouped when the home issold. What concerns do you have about the reliability of theestimate?

Data Set:

Home	Price	Size	Bathrooms	Rating	Pool
1	260.9	2666	2.5	7	0
2	337.3	3418	3.5	6	1
3	268.4	2945	2.0	5	1
4	242.2	2942	2.5	3	1
5	255.2	2798	3.0	3	1
6	205.7	2210	2.5	2	0
7	249.5	2209	2.0	7	0
8	193.6	2465	2.5	1	0
9	242.7	2955	2.0	4	1
10	244.5	2722	2.5	5	0
11	184.2	2590	2.5	1	0
12	325.7	3138	3.5	7	1
13	266.1	2713	2.0	7	0
14	166.0	2284	2.5	2	0
15	330.7	3140	3.5	6	1
16	289.1	3205	2.5	3	1
17	268.8	2721	2.5	6	1
18	276.7	3245	2.5	2	1
19	222.4	2464	3.0	3	1
20	241.5	2993	2.5	1	0
21	307.9	2647	3.5	6	1
22	223.5	2670	2.5	4	0
23	231.1	2895	2.5	3	0
24	216.5	2643	2.5	3	0
25	205.5	2915	2.0	1	0
26	258.3	2800	3.5	2	1
27	227.6	2557	2.5	3	1
28	255.4	2805	2.0	3	1
29	235.7	2878	2.5	4	0
30	285.1	2795	3.0	7	1
31	284.8	2748	2.5	7	1
32	193.7	2256	2.5	2	0
33	247.5	2659	2.5	2	1
34	274.8	3241	3.5	4	1
35	264.4	3166	3.0	3	1
36	204.1	2466	2.0	4	0
37	273.9	2945	2.5	5	1
38	238.5	2727	3.0	1	1
39	274.4	3141	4.0	4	1
40	259.6	2552	2.0	7	1
41	285.6	2761	3.0	6	1
42	216.1	2880	2.5	2	0
43	261.3	3426	3.0	1	1
44	236.4	2895	2.5	2	1
45	267.5	2726	3.0	7	0
46	220.2	2930	2.5	2	0
47	300.1	3013	2.5	6	1
48	260.0	2675	2.0	6	0
49	277.5	2874	3.5	6	1
50	274.9	2765	2.5	4	1
51	259.8	3020	3.5	2	1
52	235.0	2887	2.5	1	1
53	191.4	2032	2.0	3	0
54	228.5	2698	2.5	4	0
55	266.6	2847	3.0	2	1
56	233.0	2639	3.0	3	0
57	343.4	3431	4.0	5	1
58	334.0	3485	3.5	5	1
59	289.7	2991	2.5	6	1
60	228.4	2482	2.5	2	0
61	233.4	2712	2.5	1	1
62	275.7	3103	2.5	2	1
63	290.8	3124	2.5	3	1
64	230.8	2906	2.5	2	0
65	310.1	3398	4.0	4	1
66	247.9	3028	3.0	4	0
67	249.9	2761	2.0	5	0
68	220.5	2842	3.0	3	0
69	226.2	2666	2.5	6	0
70	313.7	2744	2.5	7	1
71	210.1	2508	2.5	4	0
72	244.9	2480	2.5	5	0
73	235.8	2986	2.5	4	0
74	263.2	2753	2.5	7	0
75	280.2	2522	2.5	6	1
76	290.8	2808	2.5	7	1
77	235.4	2616	2.5	3	0
78	190.3	2603	2.5	2	0
79	234.4	2804	2.5	4	0
80	238.7	2851	2.5	5	0