Question

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 = 21 246 261 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 272 Weights (in lb) of pro basketball players: x2; n2 = 19 202 200 220 210 193 215 221 216 228 207 225 208 195 191 207 196 183 193 201 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to one decimal place.) x1 = 259.7 Correct: Your answer is correct. s1 = 12.1 Correct: Your answer is correct. x2 = 205.8 Correct: Your answer is correct. s2 = 12.6 Correct: Your answer is correct. (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to one decimal place.) lower limit 38.9 Incorrect: upper limit 68.8 Incorrect: Your answer is incorrect. please help me find lower and upper limit

Answer #1

b)

degree of freedom v ='min(n1,n2)-1= | 18 |

std error
=√(S^{2}_{1}/n_{1}+S^{2}_{2}/n_{2})= |
3.9130 |

Point estimate of differnce =x1-x2 = | 53.87 | ||

for 99 % CI & 18 df value of t= | 2.878 | ||

margin of error E=t*std error = | 11.262 | ||

lower bound=mean difference-E
= |
42.6 |
||

Upper bound=mean differnce +E
= |
65.1 |
||

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
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
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
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
245
263
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
193
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
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
245
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
202
200
220
210
192
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
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players:
x1; n1 = 21
248
263
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
204
200
220
210
192
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
weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players: x1; n1 = 21 246 261 255
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 = 19 203 200
220 210 192 215 223 216 228 207 225 208 195 191 207...

1. The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica:
x1; n1 = 35
5.1
5.9
6.1
6.1
5.1
5.5
5.3
5.5
6.9
5.0
4.9
6.0
4.8
6.1
5.6
5.1
5.6
4.8
5.4
5.1
5.1
5.9
5.2
5.7
5.4
4.5
6.4
5.3
5.5
6.7
5.7
4.9
4.8
5.9
5.1
Petal length (in cm) of Iris setosa:
x2; n2 = 38
1.5
1.9
1.4
1.5
1.5...

A random sample of n1 = 16 communities in
western Kansas gave the following information for people under 25
years of age.
x1: Rate of hay fever per 1000
population for people under 25
98
92
120
126
94
123
112
93
125
95
125
117
97
122
127
88
A random sample of n2 = 14 regions in
western Kansas gave the following information for people over 50
years old.
x2: Rate of hay fever per 1000
population for...

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New England Crime
Rate
3.5
3.9
4.0
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky Mountain Crime
Rate
3.7
4.1
4.7
5.3
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution...

A study of fox rabies in a country gave the following
information about different regions and the occurrence of rabies in
each region. A random sample of
n1 = 16
locations in region I gave the following information about the
number of cases of fox rabies near that location.
x1:
Region I Data
2
9
9
9
7
8
8
1
3
3
3
2
5
1
4
6
A second random sample of
n2 = 15
locations in...

A study of fox rabies in a country gave the following
information about different regions and the occurrence of rabies in
each region. A random sample of
n1 = 16
locations in region I gave the following information about the
number of cases of fox rabies near that location.
x1:
Region I Data
2
8
8
8
7
8
8
1
3
3
3
2
5
1
4
6
A second random sample of
n2 = 15
locations in...

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