Question
In: Statistics and Probability
Independent random samples from two regions in the same area gave the following chemical measurements (ppm)....
Independent random samples from two regions in the same area gave the following chemical measurements (ppm). Assume the population distributions of the chemical are mound-shaped and symmetric for these two regions. Region I: , 1008 852 567 749 764 727 945 657 880 773 1023 1002 Region II: , 1070 750 879 836 711 1070 706 866 608 892 891 965 998 1089 852 443 Let be the population mean for and be the population mean for Find a 90% confidence interval for
Solutions
Expert Solution
| Values ( X ) |
 |
Values ( Y ) |
 |
|
| 1008 | 32070.8283 | 1070 | 47687.6406 | |
| 852 | 532.8387 | 750 | 10327.6406 | |
| 567 | 68600.3577 | 879 | 749.3906 | |
| 749 | 6386.6789 | 836 | 244.1406 | |
| 764 | 4214.1779 | 711 | 19775.3906 | |
| 727 | 10387.0137 | 1070 | 47687.6406 | |
| 945 | 13475.3325 | 706 | 21206.6406 | |
| 657 | 29555.3517 | 866 | 206.6406 | |
| 880 | 2609.5035 | 608 | 59353.1406 | |
| 773 | 3126.6773 | 892 | 1630.1406 | |
| 1023 | 37668.3273 | 891 | 1550.3906 | |
| 1002 | 29957.8287 | 965 | 12853.8906 | |
| 998 | 21425.6406 | |||
| 1089 | 56346.8906 | |||
| 852 | 0.1406 | |||
| 443 | 166974.39 | |||
| Total | 9947 | 238584.9162 | 13626 | 468019.7496 |
Mean 
Standard deviation 
Mean 
Standard deviation 
Confidence interval :-
DF = 25
Lower Limit = 
Lower Limit = -127.4153
Upper Limit = 
Upper Limit = 81.9987
90% Confidence interval is ( -127.4153 , 81.9987 )
orchestra answered 2 years agoRelated Solutions
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Independent simple random samples of four regions gave
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level, do the data provide sufficient evidence to conclude that a
difference exists in race distributions among the four
regions?
white
black
other
total
Northeast
99
11
5
115
Midwest
119
16
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South
162
37
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207
West
110
13
15
138
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490
77
37
604
What are the null and alternative
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A.
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Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
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lb) of pro football players: x1; n1 = 21 249 263 255 251 244 276
240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights
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215 223 216 228 207 225 208 195 191 207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric. Weights (in
lb) of pro football players: x1; n1 = 21 244 262 256 251 244 276
240 265 257 252 282 256 250 264 270 275 245 275 253 265 272 Weights
(in lb) of pro basketball players: x2; n2 = 19 203 200 220 210 193
215 222 216 228 207 225 208 195 191 207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric. Weights (in
lb) of pro football players: x1; n1 = 21 249 261 256 251 244 276
240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights
(in lb) of pro basketball players: x2; n2 = 19 202 200 220 210 191
215 223 216 228 207 225 208 195 191 207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric. Weights (in
lb) of pro football players: x1; n1 = 21 247 262 255 251 244 276
240 265 257 252 282 256 250 264 270 275 245 275 253 265 272 Weights
(in lb) of pro basketball players: x2; n2 = 19 202 200 220 210 193
215 222 216 228 207 225 208 195 191 207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
248
262
254
251
244
276
240
265
257
252
282
256
250
264
270
275
245
275
253
265
271
Weights (in lb) of pro basketball players:
x2; n2 = 19
205
200
220
210
191
215
221
216
228
207
225
208
195
191
207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
245
261
255
251
244
276
240
265
257
252
282
256
250
264
270
275
245
275
253
265
272
Weights (in lb) of pro basketball players:
x2; n2 = 19
203
200
220
210
192
215
222
216
228
207
225
208
195
191
207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
247
262
254
251
244
276
240
265
257
252
282
256
250
264
270
275
245
275
253
265
271
Weights (in lb) of pro basketball players:
x2; n2 = 19
205
200
220
210
193
215
222
216
228
207
225
208
195
191
207...
Independent random samples of professional football and basketball players gave the following information. Assume that the...
Independent random samples of professional football and
basketball players gave the following information. Assume that the
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
248
263
254
251
244
276
240
265
257
252
282
256
250
264
270
275
245
275
253
265
270
Weights (in lb) of pro basketball players:
x2; n2 = 19
202
200
220
210
193
215
222
216
228
207
225
208
195
191
207...
Given two independent random samples with the following results:
Given two independent random samples with the following results: n1=170x1=36 n2=123x2=65 Use this data to find the 90% confidence
interval for the true difference between the population
proportions.Step 1 of 4 : Find the values of the two sample proportions, pˆ1
and pˆ2. Round your answers to three decimal places.Step 2 of 4: Find the margin of error. Round your answer to six
decimal places.Step 3 of 4: Construct the 90% confidence interval. Round your
answers to three decimal places.
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