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) = 0.10Critical value of F, a(1) =0.05, a(2)=0.10 (continued)Numerator dDeneminatordfRumerater ofDenominator6.1215201002001001009161.45だ51199 50275.77224.5823M.16233.99236.7719.35238.88240.54241.88.19.402795.564.744.053.543.35243.9113.41274245.9519619.16250.70251.14252 29253.04253.5254.0019.00192519.301933193719.38S4.1919.4519.4619.4719.493.55 35410.139.559.289.129018.948.89S.85194519.4919.4919.48811.563.523.93577716.946.596.396.266.166.096.043531536.00.4776615.795.415915.355305.755.895.56 5.655.645.53S.195.054.954.824634524564.504.54434413015.995.144.764534.394.284214394334374.153.733.4414.104003.343.373.313073743.593.583.575.595324744.464354.12-3.973.693.873793.503.683.393.183.022.902.302.712.652.592.543.573.253513.223143383343.043303012793272973253242942724.073.843.583.152955.124.263.863.633.483.373.293.233012.333.143.072342.35233275273236243232223216204.964.103.712713.483363.333223.143.072.5810291277235272262270266222.59255254241230222 221114.843.983.593.203.093.012.95112792532.352552572.49246242231124.753.893.493.263.113.002912852772.75122.69254242323235134.673.213.033.413343.182.922832.6713260234227253246230225144.603.743.112962.902.852762.712.7014253246202352.602392312222.192152.14154543.683.293.062.7926423322925424320233234252162112062202122.10208202207164493.633.012.963.242.852.742.662.5916292152112.07204201138249215207204202174.457593.202.812.702.612492.462.422.392.372342.322.302.282.5517202312272232452232021991.98 195198197184.413.553.162.932.772.582.512432452.422192162122102002.4120620213319219204383523.132.902742.632.542.512381928158141911.391.384353.493.473.402.872712.60282252.352201991.96911.331.35145214323.072842682.572.552132152.49192133 L413312224.303.443.052822.662.462.402.371941911.91,37LIS135 1321792301391.30179234.283.423.033.012.992.982.962.952802.642.532512492.472462.452432.422.342.292.252.232212.202.192.142.122.442.421.361961.541322.27100L7US 174173 172176244.253.402.782622112.362.342132032012251.30254.243.392.362162152132122.602.491.21.301792.2413US264.232.592572.562552.532452.402742.392272.25224232170274.212.732312.292.282272372.2013713514283341.32131179420271236235233L671652.192132.162.082.031.991.97L652.702.69294.184.174 083.33121 17LUS174L542.93210145134174162,22L652011321331.34303322.922212.12301.3L532.842.792.762.742.72403.232512252.182.061521521951321.83.183.153.13504.032.561.452.202.171.45L411312.132.021751531.41.591571541531.21651402.372352.332322.31602.042.024.002.53602.1020717216214513670.803.981.891312.502492472.462.422.392.142132.112.101431471.393.961581.431.351343.113.102.052.001.951.6時1.361331311361351301781591.573.952.712041.991971.93194193138185100161341311002004003.943.893.853.093.043.022.702.652.632.031.981.6162126123152191211.21.92.252.062002242031.904001.01.421.35113L.1582283292.

INTRODUCTION: F-Test for equality of two population variances. suppose we want to test i) whether…

Answered: Using The table below, determine the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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