Question

Sale Price List Price Days to Sell Gulf View 475 495 130 1 350 379 71...

Sale Price List Price Days to Sell Gulf View
475 495 130 1
350 379 71 1
519 529 85 1
534.5 552.5 95 1
334.9 334.9 119 1
505 550 92 1
165 169.9 197 1
210 210 56 1
945 975 73 1
314 314 126 1
305 315 88 1
800 885 282 1
975 975 100 1
445 469 56 1
305 329 49 1
330 365 48 1
312 332 88 1
495 520 161 1
405 425 149 1
669 675 142 1
400 409 28 1
649 649 29 1
305 319 140 1
410 425 85 1
340 359 107 1
449 469 72 1
875 895 129 1
430 439 160 1
400 435 206 1
227 235 91 1
618 638 100 1
600 629 97 1
309 329 114 1
555 595 45 1
315 339 150 1
200 215 48 1
375 395 135 1
425 449 53 1
465 499 86 1
428.5 439 158 1
217 217 182 0
135.5 148 338 0
179 186.5 122 0
230 239 150 0
267.5 279 169 0
214 215 58 0
259 279 110 0
176.5 179.9 130 0
144.9 149.9 149 0
230 235 114 0
192 199.8 120 0
195 210 61 0
212 226 146 0
146.5 149.9 137 0
160 160 281 0
292.5 322 63 0
179 187.5 48 0
227 247 52 0

Assume the branch manager requested estimates of the mean selling price of Gulf View condominiums with a margin of error of $40,000 and the mean selling price of No Gulf View condominiums with a margin of error of $15,000. Using 95% confidence, how large should the sample sizes be? Using 99.9% confidence, how large should the sample sizes be? (Gulf View condos are denoted by “1” in the Gulf View column, whereas No Gulf View condos are denoted by “0”. Prices are in thousands of dollars.)

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Answer #1

standard deviation calculaton for sale price of gulf view condominius

475 350 519 5345 334.9 505 165 210 945 314 305 800 975 445 305 330 312 49S 405 669400 649 30 410 340 449 875 430 400 227 618 00 309 555 315 200 375425 465 428.5 The standard deviation of the data set is ? 192.5178 To find standard deviation we use the folowing formula We will compute this formula in 4 steps. Step 1: Find the mean. In this exampie: X 454.2225. (use this calculator for step by step expianation on how to nd mean). Step 2: Create the following table. 20.7775 104.2225 64.7775 431.70450625 10862.3295063 4196.12450625 6444 47700625 14237.8690063 2578.35450625 83649.6545063 59644.6295063 240862 554506 19662.3405063 22267.3545063 119662.079506 271209 204506 85.05450625 22267.3545063 15431.2295063 20227,2395063 1662.80450825 242285450625 46129.3745062 2940.07950825 519 534.5 3349 -119.3225 50.7775 -289.2225 -244.2225 490.7775 -140.2225 -149.2225 345.7775 520.7775 9 2225 149.222 124.2225 142.2225 40.7775 -49 2225 214.7775 -54 2225 194 7775 149.2225 -44 2225 165 210 314 305 800 975 330 649 5.2225 20.7775 24 2225 54 2225 -227.2225 163.7775 145 7775 -145.2225 100.7775 -139.2225 -254,2225 -79 2225 22267.3545063 1955.62950625 13046.7795063 27.27450625 177053.704506 586.72950625 2940.07950625 51630,0645063 26823.0695062 21251.0795062 21080.5745063 10156.1045062 19382.9045063 64629.0795063 6276.20450625 553.95450625 16.15450025 061.04700625 875 618 315 200 375 10.7775 428.5 -25.7225 Step 3: Find the sum of numbers in the last column to get ?-X -1445460. 3208 4:Calculate ?usng the above formula. 445-460.3298

values in thousand

so standard deviation =192517.8

here for 95% CI,alpha=0.05for 99.9%CI,alpha =0.1

now for,

no gulf view sale price,

we we will calculate std dev,

standard deviation=43891.7

for 95%CI

for 99.9 CI

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