A real estate broker collects data from 60 houses in two adjacent towns, Glen Cove and Roslyn, to analyze the differences in appraised house values between the two areas. The data include the appraised value (in $1000 units) along with a variety of data about the houses: the data can be found below.

A real estate broker collects data from 60 houses in two adjacent towns, Glen Cove and Roslyn, to analyze the differences in appraised house values between the two areas. The data include the appraised value (in $1000 units) along with a variety of data about the houses: the data can be found below. a. What is the point estimate in square feet (sq ft) for the mean house size in the 2 towns? b. If the population standard deviation of house size is assumed to be 701 sq ft, determine the margin of error corresponding to 95% c. If the population standard deviation is unknown, determine the margin of error for 95% confidence. d. Explain why your answers in part b and care different. e. Determine the 95% confidence interval for the mean size of house in the 2 towns, given the population standard deviation is unknown. from: to: f. Based on the confidence interval from part e, what can the real estate broker conclude about the mean size of houses in the 2 towns? (i.e., interpret the confidence interval)g. Based on the confidence interval from part e, explain whether the real estate broker can assume that the mean size of houses in the 2 towns is greater than 2000 sq ft. h. Determine the point estimate for the proportion of houses that have electric heat. i. Determine the standard error of the sampling distribution of the proportion that would be used for constructing an interval estimate for the population proportion of houses that have electric heat. j. Determine the margin of error for the proportion of houses with electric heat, corresponding to 95% confidence. k. Determine the 95% confidence interval for the proportion of moves requiring use of an elevator. from: to : I. Based on the confidence interval in part k, explain whether the real estate broker can conclude that more than half of the houses in the 2 towns have electric heat.Fel 466 Clan Cove 0.2257 2448 46 Handing Codes: 364 Can Come 02192 51 0 - ddubric hat 38 Michir 0163 2073 548.4 Clan Cove 14608 2707 18 2.5. S Danid C 0.2549 46 15 Saraya Codes: 15 Francis 374.1 Clan Cow .229 23 Guille 3:15 Clan Cove 01808 1439 48 1 - douched pay 17 Carlyle 749.7 Clan Cow 15015 2941 2 - caperl & Crall Av 217.7 Clan Cow| 0.2229 52 3 - simple on, attached 22 Beach 695 7 Clan Cows L19 15 4 -2 on, machad 14 Fox Str 3507 Claim Cove 0.1769 2230 54 7 Karynhar 455 Clan Cove 1848 48 2 krome 356 2 Clan Cows 0.252 2100 46 2717 Clam Cow 0.1148 1846 12 3043 Can Cow| 0.1698 64 15 Inwoo 281 4 Clan Cow 0.1714 1344 52 29 Made 3067 Clan Cow 0.3849 1822 44 613.5 Clan Cow 0.6545 2479 46 314.1 Clan Cow 0.1722 1605 52 13 Fairme 363 5 Clam Cow 0.1435 364.3 Clan Cow 1.2755 2410 71 11 Claman 305 1 Clan Cow 0.1148 97 7 Woodla 441.7 Clan Cow 0.9636 1824 45 36 Am A 353 1 Clan Cow 1.1474 2050 41 17 Duke 463 3 Clan Cows 0.2281 2478 40 12 Props 320 Clam Cow |04626 2132 1 Bucky 54 30 Ann S 276.6 Clan Cows|0.1228 1129 44 26 Broad 347 Clan Cow|0-1402 1674 34 2215 Clan Cows |0.0852 1184 182 Villa 681.4 Realy 0.2828 2194 54 104 Buml 606 Realy 3032 74 143 Pow 02169 1470 23 $5 Humm 4127 Realy 03761 3956 41 40 Maple 416 7 Roslyn 0.1359 2070 31 47 MayBli 726.6 Roslyn 0 2427 2826 54 35 Hadin 313_1 Realy 0-154 TEDE 100 Coinc 612.4 Realy 0.2348 54 222 Gand 355.4 Roslyn 0.2217 1342 6 Church 294 Really 0.175 1120 19 471 Realy 1 213 1817 51 24 Madias 5107 Realy 0-1377 2406 44 18 Rockhi 517.7 Roslyn 0.2497 1615 52 65 Am D 873.3 Koalyn 45 30 Wron [ 8547 Realy 0.3972 LE 54 Lambe 374.& Really 0-1509 1423 38 MayBli 543 Really 0.2348 1794 54 75 Bumb 554 Roslyn 0.1148 22 19 Oxford 365 2 Reallym 0-1377 1434 53 81 1.8 Realy 04SE 4065 43 34 The Ch 711.8 Realy 05569 2191 65 598 7 Realy 0.2778 54 70 Rugby 651.3 Realy 0.2775 2070 52 150 Warn 511_1 Realy 0.2096 2710 31 Wild 971.3 Reallyn 0-1377 1416 65 7 That Loca 786 Roslyn 42116 3244 72 65 Surlim 768 7 Realyn 0.9535 2409 6754 Really 0.2348 2473 54 17 South 615.& Roslyn 0.3929 " Woodla 766 4 Realy 09606 3196 34