Using The table below, determine the critical value for the F-test between two normally distributed samples where sample 1 has a variance of 10 and a sample size of 10 and sample 2 has a variance of 16 and a sample size of 4? Assume ?=0.05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Using The table below, determine the critical value for the F-test between two normally distributed samples where sample 1 has a variance of 10 and a sample size of 10 and sample 2 has a variance of 16 and a sample size of 4? Assume ?=0.05.

Critical value of F, a(1) 0.05, a(2) = 0.10
Critical value of F, a(1) =0.05, a(2)=0.10 (continued)
Numerator d
Deneminator
df
Rumerater of
Denominator
6.
12
15
20
100
200
100
1009
161.45
だ51
199 50
275.77
224.58
23M.16
233.99
236.77
19.35
238.88
240.54
241.88.
19.40
279
5.56
4.74
4.05
3.54
3.35
243.91
13.41
274
245.95
196
19.16
250.70
251.14
252 29
253.04
253.5
254.00
19.00
1925
19.30
1933
1937
19.38
S4.19
19.45
19.46
19.47
19.49
3.55 354
10.13
9.55
9.28
9.12
901
8.94
8.89
S.85
1945
19.49
19.49
19.48
81
1.56
3.52
3.9
357
771
6.94
6.59
6.39
6.26
6.16
6.09
6.04
353
153
6.00.
477
661
5.79
5.41
591
5.35
530
5.75
5.89
5.56 5.65
5.64
5.53
S.19
5.05
4.95
4.82
463
452
456
4.50
4.5
443
441
301
5.99
5.14
4.76
453
4.39
4.28
421
439
433
437
4.15
3.73
3.44
14.10
400
3.34
3.37
3.31
307
374
3.59
3.58
3.57
5.59
532
474
4.46
435
4.12
-3.97
3.69
3.87
379
3.50
3.68
3.39
3.18
3.02
2.90
2.30
2.71
2.65
2.59
2.54
3.57
3.25
351
3.22
314
338
334
3.04
330
301
279
327
297
325
324
294
272
4.07
3.84
3.58
3.15
295
5.12
4.26
3.86
3.63
3.48
3.37
3.29
3.23
301
2.33
3.14
3.07
234
2.35
233
275
273
236
243
232
223
216
20
4.96
4.10
3.71
271
3.48
336
3.33
322
3.14
3.07
2.58
10
291
277
235
272
262
270
266
22
2.59
255
254
241
230
222 221
11
4.84
3.98
3.59
3.20
3.09
3.01
2.95
11
279
253
2.35
255
257
2.49
246
242
231
12
4.75
3.89
3.49
3.26
3.11
3.00
291
285
277
2.75
12
2.69
254
24
23
23
235
13
4.67
3.21
3.03
3.41
334
3.18
2.92
283
2.67
13
260
234
227
253
246
230
225
14
4.60
3.74
3.11
296
2.90
2.85
276
2.71
2.70
14
253
246
20
235
2.60
239
231
222
2.19
215
2.14
15
454
3.68
3.29
3.06
2.79
264
233
229
254
243
20
233
234
25
216
211
206
220
212
2.10
208
202
207
16
449
3.63
3.01
2.96
3.24
2.85
2.74
2.66
2.59
16
29
215
211
2.07
204
201
138
249
215
207
204
202
17
4.45
759
3.20
2.81
2.70
2.61
249
2.46
2.42
2.39
2.37
234
2.32
2.30
2.28
2.55
17
20
231
227
223
245
223
202
199
1.98 195
198
197
18
4.41
3.55
3.16
2.93
2.77
2.58
2.51
243
245
2.42
219
216
212
210
200
2.41
206
202
133
192
19
20
438
352
3.13
2.90
274
2.63
2.54
2.51
238
19
28
158
14
191
1.39
1.38
435
3.49
3.47
3.40
2.87
271
2.60
28
225
2.35
220
199
1.96
91
1.33
1.35
145
21
432
3.07
284
268
2.57
2.55
213
215
2.49
192
133 L4
133
12
22
4.30
3.44
3.05
282
2.66
2.46
2.40
2.37
194
191
1.9
1,37
LIS
135 132
179
230
139
1.30
179
23
4.28
3.42
3.03
3.01
2.99
2.98
2.96
2.95
280
2.64
2.53
251
249
2.47
246
2.45
243
2.42
2.34
2.29
2.25
2.23
221
2.20
2.19
2.14
2.12
2.44
2.42
1.36
196
1.54
132
2.27
100
L7
US 174
173 172
176
24
4.25
3.40
2.78
262
211
2.36
2.34
213
203
201
225
1.30
25
4.24
3.39
2.36
216
215
213
212
2.60
2.49
1.2
1.30
179
2.24
13
US
26
4.23
2.59
257
2.56
255
2.53
245
2.40
274
2.39
227
2.25
224
232
170
27
4.21
2.73
231
2.29
2.28
227
237
2.20
137
135
14
28
334
1.32
131
179
420
271
236
235
233
L67
165
2.19
213
2.16
2.08
2.03
1.99
1.97
L65
2.70
2.69
29
4.18
4.17
4 08
3.33
121 17
LUS
174
L54
2.93
210
145
134
174
16
2,22
L65
201
132
133
1.34
30
332
2.92
221
2.12
30
1.3
L53
2.84
2.79
2.76
2.74
2.72
40
3.23
251
225
2.18
2.06
152
152
195
132
1.8
3.18
3.15
3.13
50
4.03
2.56
1.45
2.20
2.17
1.45
L41
131
2.13
2.02
175
153
1.4
1.59
157
154
153
1.2
165
140
2.37
235
2.33
232
2.31
60
2.04
2.02
4.00
2.53
60
2.10
207
172
162
145
136
70.
80
3.98
1.89
131
2.50
249
247
2.46
2.42
2.39
2.14
213
2.11
2.10
143
147
1.39
3.96
158
1.43
1.35
134
3.11
3.10
2.05
2.00
1.95
1.6時
1.36
133
131
136
135
130
178
159
1.57
3.95
2.71
204
1.99
197
1.93
194
193
138
185
100
16
134
131
100
200
400
3.94
3.89
3.85
3.09
3.04
3.02
2.70
2.65
2.63
2.03
1.98
1.6
162
126
123
152
19
121
1.2
1.9
2.25
2.06
200
224
203
1.90
400
1.0
1.42
1.35
113
L.15
8228329
2.
Transcribed Image Text:Critical value of F, a(1) 0.05, a(2) = 0.10 Critical value of F, a(1) =0.05, a(2)=0.10 (continued) Numerator d Deneminator df Rumerater of Denominator 6. 12 15 20 100 200 100 1009 161.45 だ51 199 50 275.77 224.58 23M.16 233.99 236.77 19.35 238.88 240.54 241.88. 19.40 279 5.56 4.74 4.05 3.54 3.35 243.91 13.41 274 245.95 196 19.16 250.70 251.14 252 29 253.04 253.5 254.00 19.00 1925 19.30 1933 1937 19.38 S4.19 19.45 19.46 19.47 19.49 3.55 354 10.13 9.55 9.28 9.12 901 8.94 8.89 S.85 1945 19.49 19.49 19.48 81 1.56 3.52 3.9 357 771 6.94 6.59 6.39 6.26 6.16 6.09 6.04 353 153 6.00. 477 661 5.79 5.41 591 5.35 530 5.75 5.89 5.56 5.65 5.64 5.53 S.19 5.05 4.95 4.82 463 452 456 4.50 4.5 443 441 301 5.99 5.14 4.76 453 4.39 4.28 421 439 433 437 4.15 3.73 3.44 14.10 400 3.34 3.37 3.31 307 374 3.59 3.58 3.57 5.59 532 474 4.46 435 4.12 -3.97 3.69 3.87 379 3.50 3.68 3.39 3.18 3.02 2.90 2.30 2.71 2.65 2.59 2.54 3.57 3.25 351 3.22 314 338 334 3.04 330 301 279 327 297 325 324 294 272 4.07 3.84 3.58 3.15 295 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 301 2.33 3.14 3.07 234 2.35 233 275 273 236 243 232 223 216 20 4.96 4.10 3.71 271 3.48 336 3.33 322 3.14 3.07 2.58 10 291 277 235 272 262 270 266 22 2.59 255 254 241 230 222 221 11 4.84 3.98 3.59 3.20 3.09 3.01 2.95 11 279 253 2.35 255 257 2.49 246 242 231 12 4.75 3.89 3.49 3.26 3.11 3.00 291 285 277 2.75 12 2.69 254 24 23 23 235 13 4.67 3.21 3.03 3.41 334 3.18 2.92 283 2.67 13 260 234 227 253 246 230 225 14 4.60 3.74 3.11 296 2.90 2.85 276 2.71 2.70 14 253 246 20 235 2.60 239 231 222 2.19 215 2.14 15 454 3.68 3.29 3.06 2.79 264 233 229 254 243 20 233 234 25 216 211 206 220 212 2.10 208 202 207 16 449 3.63 3.01 2.96 3.24 2.85 2.74 2.66 2.59 16 29 215 211 2.07 204 201 138 249 215 207 204 202 17 4.45 759 3.20 2.81 2.70 2.61 249 2.46 2.42 2.39 2.37 234 2.32 2.30 2.28 2.55 17 20 231 227 223 245 223 202 199 1.98 195 198 197 18 4.41 3.55 3.16 2.93 2.77 2.58 2.51 243 245 2.42 219 216 212 210 200 2.41 206 202 133 192 19 20 438 352 3.13 2.90 274 2.63 2.54 2.51 238 19 28 158 14 191 1.39 1.38 435 3.49 3.47 3.40 2.87 271 2.60 28 225 2.35 220 199 1.96 91 1.33 1.35 145 21 432 3.07 284 268 2.57 2.55 213 215 2.49 192 133 L4 133 12 22 4.30 3.44 3.05 282 2.66 2.46 2.40 2.37 194 191 1.9 1,37 LIS 135 132 179 230 139 1.30 179 23 4.28 3.42 3.03 3.01 2.99 2.98 2.96 2.95 280 2.64 2.53 251 249 2.47 246 2.45 243 2.42 2.34 2.29 2.25 2.23 221 2.20 2.19 2.14 2.12 2.44 2.42 1.36 196 1.54 132 2.27 100 L7 US 174 173 172 176 24 4.25 3.40 2.78 262 211 2.36 2.34 213 203 201 225 1.30 25 4.24 3.39 2.36 216 215 213 212 2.60 2.49 1.2 1.30 179 2.24 13 US 26 4.23 2.59 257 2.56 255 2.53 245 2.40 274 2.39 227 2.25 224 232 170 27 4.21 2.73 231 2.29 2.28 227 237 2.20 137 135 14 28 334 1.32 131 179 420 271 236 235 233 L67 165 2.19 213 2.16 2.08 2.03 1.99 1.97 L65 2.70 2.69 29 4.18 4.17 4 08 3.33 121 17 LUS 174 L54 2.93 210 145 134 174 16 2,22 L65 201 132 133 1.34 30 332 2.92 221 2.12 30 1.3 L53 2.84 2.79 2.76 2.74 2.72 40 3.23 251 225 2.18 2.06 152 152 195 132 1.8 3.18 3.15 3.13 50 4.03 2.56 1.45 2.20 2.17 1.45 L41 131 2.13 2.02 175 153 1.4 1.59 157 154 153 1.2 165 140 2.37 235 2.33 232 2.31 60 2.04 2.02 4.00 2.53 60 2.10 207 172 162 145 136 70. 80 3.98 1.89 131 2.50 249 247 2.46 2.42 2.39 2.14 213 2.11 2.10 143 147 1.39 3.96 158 1.43 1.35 134 3.11 3.10 2.05 2.00 1.95 1.6時 1.36 133 131 136 135 130 178 159 1.57 3.95 2.71 204 1.99 197 1.93 194 193 138 185 100 16 134 131 100 200 400 3.94 3.89 3.85 3.09 3.04 3.02 2.70 2.65 2.63 2.03 1.98 1.6 162 126 123 152 19 121 1.2 1.9 2.25 2.06 200 224 203 1.90 400 1.0 1.42 1.35 113 L.15 8228329 2.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman