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Answer this question using R statistical computing environment. Submit your R source file and a report explaining your approach for the question in written form.

Answer this question using R statistical computing environment. Submit your R source file and a report explaining your approach for the question in written form.

2. Refer to the manual dexterity scores of 500 children with learning disabilities and 500 children with no known learning disabilities (given in MANDEXT.csv file). Select a simple random sample of size 10 from population A and an independent simple random sample of size 15 from population B. Do your samples provide sufficient evidence for you to conclude that learning-disabled children, on the average, have lower manual dexterity scores than children without a learning disability? Let ??=0.05. What assumptions are necessary in order for your procedure to be valid?

LDSUBJ SCORE
1 33
2 20
3 27.5
4 22.5
5 25.8
6 19.8
7 29.9
8 28.4
9 20.8
10 25.6
11 21.4
12 19.1
13 25.3
14 10.7
15 23.5
16 17.7
17 20.6
18 25.2
19 20.9
20 24.6
21 21.2
22 20.5
23 24.3
24 28.8
25 17.7
26 25.2
27 22.4
28 19.7
29 29.4
30 27.3
31 28.9
32 22.4
33 24.7
34 30.4
35 20.9
36 28.8
37 19.5
38 30.3
39 25.3
40 23.3
41 20.1
42 19.1
43 18.5
44 19.5
45 27.3
46 25.8
47 26.7
48 21.7
49 20
50 24.2
51 21.9
52 24.2
53 30.9
54 30.4
55 28
56 27.1
57 22.4
58 28.6
59 27
60 21.1
61 18.4
62 23.1
63 20.9
64 25.6
65 32.6
66 21.9
67 21.5
68 22.6
69 25.2
70 22.2
71 22.7
72 19.7
73 27.6
74 31.6
75 23.5
76 30.6
77 25.9
78 15.9
79 26
80 17.1
81 25.2
82 22.2
83 22.7
84 31.2
85 26.2
86 25.3
87 22.4
88 22.3
89 21.6
90 24.8
91 26.2
92 25.9
93 23.7
94 23.1
95 26.4
96 26
97 29.2
98 20.8
99 17.1
100 21.1
101 30.7
102 31.1
103 22.2
104 14.7
105 24.2
106 23.4
107 27.9
108 34.4
109 29.1
110 23.1
111 24.1
112 25.2
112 23.8
114 20.8
115 23.3
116 29.8
117 35.4
118 23.4
119 21.9
120 27.3
121 25.7
122 24.4
123 25.2
124 24.2
125 8.9
126 23.3
127 24.6
128 29.9
129 27.8
130 31.3
131 23.5
132 28
133 22.9
134 17
15 27.7
136 27.7
137 27.1
138 20.4
139 20.7
140 23.6
141 21.6
142 29.1
142 31
144 19.5
145 21.8
146 27.9
147 24
148 21.5
149 18.4
150 23.6
151 24
152 24
153 26
154 20.7
155 20.4
156 22.7
157 26.8
158 22
159 30.4
160 24.7
161 22.1
162 22.2
163 27.9
164 31.9
165 13.4
166 18.6
167 29.2
168 17.6
169 31.8
170 28.3
171 10.8
172 20.4
173 27.4
174 23.6
175 17.9
176 18.5
177 19.6
178 30.9
179 23.8
180 21.9
181 18.1
182 25.4
183 28.6
184 29.5
185 20.3
186 25.6
187 22.9
188 27.2
189 19
190 18.9
191 24.5
192 22.3
193 222.1
194 18.5
195 21.9
196 28.2
197 37.6
198 16.4
199 23.5
200 25
201 26.1
202 20.1
203 24.2
204 29.4
205 15.4
206 25
207 19.3
208 21.9
209 30.5
210 28.3
211 24.6
212 16.1
213 21.2
214 25.7
215 33
216 28.8
217 26.4
218 263.3
219 27.1
220 18.4
221 20
222 22.7
223 19.6
224 24.1
225 14
226 20.6
227 12.5
228 23.5
229 19.7
230 31.7
231 24.4
232 23.1
233 22
234 26.6
235 33.6
236 14.6
237 26.2
238 24.9
239 24.8
240 30.9
241 25.7
242 31.3
243 23.1
244 17.5
245 22.7
246 23.7
247 24
248 20.7
249 23.8
250 26.9
251 23.6
252 20.9
253 29.7
254 18.1
255 27.9
256 13
257 23.2
258 21.5
259 26.4
260 22.7
261 26.6
262 29.1
263 28.6
264 24.2
265 34.9
266 22.6
267 26.2
268 11.3
269 30
270 22.7
271 22.1
272 18.4
273 18.2
274 18.1
275 26.9
276 27
277 23.8
278 21.9
279 17.4
280 29
281 19
282 30.4
283 26.4
284 26.3
285 28.1
286 27.9
287 19.9
288 24.5
289 22.2
290 24.4
291 29.2
292 23.7
293 24.9
294 17.6
295 24.5
296 31.5
297 15.1
298 23.5
299 25.2
300 26.6
301 21.5
302 31.4
303 27.3
304 24.2
305 27.1
306 27.2
307 27.4
308 19.5
309 21.6
310 21.3
311 26.1
312 30.1
312 27.8
314 31.9
315 22.3
316 24.6
317 25.5
318 25.9
319 21.8
320 21.9
321 26.6
322 30.1
323 26.4
324 16.4
325 29.5
326 20.5
327 21.8
328 22.9
329 14.7
330 25.7
331 24.9
332 23.2
333 20.5
334 24
335 22.9
336 23.6
337 17.5
338 24.9
339 10.1
340 25.3
341 23.8
342 24.8
343 27.3
344 25.1
345 22.9
346 22.2
347 26.2
348 29.3
349 20.7
350 25.1
351 17.4
352 26.7
353 22.2
354 23.1
355 27.5
356 25.5
357 11
358 22.6
359 39.8
360 14.8
361 15.9
362 26.3
363 24.5
364 16.3
365 16.1
366 21.7
367 21.2
368 20.1
369 18.2
370 23.2
371 20.2
372 23.3
373 16.2
374 24.4
375 25.3
376 30.4
377 22.7
378 23.2
379 19.8
380 31.3
381 33.9
382 33.1
383 19.8
384 22.6
385 27.5
386 26.5
387 25.6
388 23.7
389 21.2
390 19.7
391 20.1
392 25.8
393 20.3
394 29.9
395 17.5
396 20.6
397 29.4
398 16
399 21.8
400 23.3
401 30.3
402 33.4
403 27
404 25.8
405 28.9
406 16.5
407 24.5
408 24.7
409 31.4
410 24.6
411 26
412 26.9
412 22.9
414 21.8
415 22.9
416 23.1
417 23.1
418 26.5
419 11.4
420 25.3
421 28.5
422 23.8
4123 28.1
424 29.5
425 27.2
426 23.4
427 15.8
428 23.2
429 25.3
430 30.6
431 23.2
432 30.8
433 22.9
434 27.5
435 20.2
436 26.6
437 28.9
438 23.3
439 21.8
440 18.5
441 29.7
442 30.1
443 24.1
444 19.8
445 18.5
446 26.1
447 13.2
448 23.2
449 37.7
450 30
451 30.9
452 23.3
453 23.7
454 30.9
455 16.2
456 19.9
457 24.8
458 28.3
459 29
460 35
461 23.6
462 28.5
463 33.2
464 29.4
465 25.8
466 25.5
467 17.8
468 23.8
469 31.6
470 25.3
471 24.7
472 21.5
473 26
474 18.2
475 19.8
476 25.6
477 20.1
478 23.7
479 25.2
480 19.8
481 29.3
482 29
483 15.1
484 12.8
485 27.2
486 25.9
487 26.1
488 25
489 28.8
490 22.9
491 28.9
492 17.2
493 19.2
494 21.2
495 28.3
496 31.1
497 25
498 21.9
499 25.2
500 20.8
NORMSUBJ SCORE
1 32
2 30.6
3 29.1
4 31.8
5 25.3
6 26
7 24.2
8 27.5
9 20.8
10 28.2
11 28.3
12 23.9
13 28.4
14 22.3
15 30.4
16 28.4
17 30
18 30
19 31.2
20 33.5
21 28.5
22 28.1
23 25.7
24 32.8
25 24.5
26 24.5
27 24.9
28 30.6
29 30.4
30 24
31 22.7
32 26.4
33 27
34 25.8
35 28.5
36 26.4
37 29.5
38 26.4
39 28.4
40 25.1
41 26.2
42 28
43 31.4
44 29.5
45 30.1
46 24.7
47 29
48 28
49 25.4
50 25.8
51 23.8
52 27.2
53 27
54 28.8
55 29.9
56 22.4
57 24.1
58 25
59 30.2
60 28.3
61 29.1
62 27
63 30.7
64 32.6
65 23.2
66 29.9
67 25.8
68 20.5
69 30.5
70 28.1
71 20.6
72 29.1
73 22.8
74 21.3
75 24.5
76 29.1
77 22.8
78 23.3
79 22.1
80 32.4
81 31.4
82 25.9
83 32.2
84 30.6
85 25.1
86 30.4
87 29.3
88 28.8
89 25.1
90 26.4
91 28.1
92 32.1
93 26.3
94 26.5
95 26.4
96 32.8
97 26.7
98 31.7
99 27
100 28.3
101 28.5
102 29.4
103 27.2
104 26.3
105 27.6
106 25.7
107 28.1
108 23
109 27.5
110 26.5
111 28.4
112 23.5
113 30.6
114 23.4
115 27.2
116 22.1
117 25.4
118 27.3
119 23.2
120 27.6
121 32.6
122 28
123 27.1
124 27.8
125 26.9
126 25.4
127 26.1
128 23.6
129 29.7
130 26.2
131 30.4
132 27.6
133 26.2
134 26.7
135 28.1
136 30.1
137 23.2
138 24.3
139 23.8
140 23.2
141 24
142 29
143 20
144 29.8
145 23.5
146 22.8
147 25.4
148 27.7
149 26.3
150 27.3
151 28
152 28.5
153 31.8
154 26.6
155 20.4
156 25.7
157 28
158 27.4
159 25
160 32.2
161 29.4
162 30.9
163 24.2
164 23.7
165 27
166 27
167 28
168 29.2
169 29.2
170 27.2
171 24.1
172 27
173 23.8
174 24.4
175 27.6
176 22.7
177 28.9
178 26.7
179 27.5
180 23.5
181 30.3
182 27.7
183 24.9
184 21.8
185 30.7
186 27.2
187 29
188 31.2
189 24.7
190 28.9
191 26.3
192 32
193 25.3
194 28.7
195 27
196 28.5
197 24.9
198 25.1
199 30.4
200 24.9
201 27.3
202 25.8
203 28.6
204 24.8
205 26.9
206 28.9
207 21.6
208 21.6
209 22.3
210 30.5
211 24.6
212 30.1
213 23.3
214 29.7
215 30.2
216 31.8
217 30.7
218 27.2
219 32
220 32.9
221 24.2
222 30.2
223 32.2
224 34.5
225 19.9
226 23
227 32.6
228 31.1
229 26.6
230 31.6
231 22.2
232 30.6
233 26.6
234 29.7
235 28.9
236 30.9
237 27
238 26
239 23.7
240 28.7
241 28.7
242 29.9
243 32.3
244 26.3
245 26.6
246 26.2
247 23.6
248 20.9
249 31.5
250 27.2
251 27.8
252 25.3
253 27.7
254 31.6
255 23.2
256 27.8
257 23.7
258 22.2
259 28.6
260 29.6
261 25.2
262 28.4
263 25.6
264 27.8
265 27.9
266 25.7
267 29.1
268 32
269 26
270 26.8
271 23.5
272 25.5
273 22.5
274 23.6
275 24.1
276 25.1
277 28.3
278 28.2
279 26.8
280 31
281 21.3
282 26.7
283 24.9
284 24.3
285 25.1
286 27.3
287 28.5
288 25.8
289 21.3
290 26.7
291 29.4
292 28.2
293 28.5
294 24.5
295 26.2
296 24.5
297 24.4
298 35.5
299 28
300 29.9
301 27
302 27.1
303 23
304 29.7
305 32.8
306 29.5
307 23.3
308 33.4
309 27.5
310 23.8
311 26.1
312 27
313 28.4
314 27.2
315 26.9
316 26.2
317 29.5
318 28.8
319 24.6
320 26.3
321 23.8
322 28.8
323 22.8
324 31.5
325 25.5
326 27.2
327 28.9
328 24.5
329 28.7
330 33.5
331 30
332 27.8
333 25
334 25.9
335 26.1
336 28.1
337 27.2
338 28.9
339 25.5
340 23
341 33.8
342 23.5
343 23.4
344 25.6
345 27.5
346 30.1
347 27.1
348 33.5
349 26.1
350 26.2
351 29.4
352 26.9
353 24.8
354 28.6
355 30.3
356 22.6
357 25.9
358 26.8
359 32.9
360 27.6
361 25.4
362 22.3
363 25.8
364 27.5
365 29.1
366 31.2
367 31.6
368 18.8
369 29.8
370 25.4
371 25.6
372 30.4
373 28
374 22.7
375 27.1
376 31.6
377 26
378 27.7
379 28
380 31.3
381 26
382 27.5
383 25.2
384 26.2
385 28.8
386 29.8
287 25
388 23.2
389 26
390 30.4
391 28.2
392 27.1
393 34.3
394 29.3
395 25.8
396 27.8
397 28.5
398 27.3
399 26.9
400 31
401 27.6
402 24.2
403 33.2
404 23.6
405 21.3
406 25.3
407 25.9
408 28.1
409 24.8
410 25.6
411 26.3
412 24.7
413 26.1
414 30.8
415 27.4
416 31.9
417 27.5
418 30.2
419 25.6
420 26.9
421 30.3
422 33.1
423 31.6
424 31.7
425 25.9
426 27.7
427 26.8
428 31.5
429 22.1
430 22.2
431 30.3
432 26.1
433 32.7
434 22.9
435 28.2
436 24.9
437 28.3
438 34.3
439 23.6
440 28.9
441 28.9
442 26
443 23.4
444 26.1
445 28.4
446 25.3
447 29.5
448 27.9
449 24.7
450 26.2
451 29.7
452 28.5
453 31.7
454 18.3
455 28
456 24.2
457 30.1
458 24.1
459 27.2
460 26.8
461 25.2
462 31.1
463 24
464 27.8
465 28
466 30.8
467 24.8
468 26.1
469 26
470 30.4
471 25.1
472 27.5
473 23.5
474 28.7
475 27.5
476 22.6
477 21.6
478 23.8
479 28.1
480 30.8
481 28.3
482 27.8
483 25.2
484 22.9
485 26.8
486 29.2
487 27.7
488 28.3
489 20.6
490 29
491 25.4
492 26.5
493 23.3
494 27.9
495 28
496 26.4
497 32.3
498 28.7
499 21.9
500 27.7

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