© 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a
license distributed with a certain product or service or otherwise on a password-protected website for classroom use.
LCL = 1.84, UCL = 5.36
c The histograms are bell shaped.
13.201
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = 1.93, p-value = .0232; use unequal-variances t-test
13.202
D0 :H
= 0
D1 :H
0
1
2
3
4
A B C
t-Test: Two-Sample Assuming Unequal Variances
Group 1 Group 2
Mean 7.46 8.46
1
2
3
4
5
A B C
t-Test: Paired Two Sample for Means
Group 1 Group 2
Mean 7.53 8.57
Variance 29.77 43.37
13.203
)pp(:H 210 −
= 0
− )pp(:H 211
0
13.204
)pp(:H 210 −
= 0
− )pp(:H 211
0
13.205
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = .363, p-value = .0161; use unequal-variances t-test
z-Test: Two Proportions
Special K Other
Sample Proportions 0.635 0.53
Observations 200 200
z-Test: Two Proportions
Special K Other
Sample Proportions 0.575 0.515
Observations 200 200
13.206
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = .624, p-value = .0431; use unequal-variances t-test
13.207
)pp(:H 210 −
= 0
− )pp(:H 211
0
1
2
3
4
5
A B C
t-Test: Two-Sample Assuming Unequal Variances
Small space Large space
Mean 1245.7 1915.8
Variance 23812 65566
1
2
3
4
5
A B C
t-Test: Two-Sample Assuming Unequal Variances
Computer No Computer
Mean 69,933 48,246
Variance 63,359,040 101,588,525
13.208
)(:H 210 −
= 0
)(:H 211 −
0
Two-tail F test: F = 1.62, p-value = .1008; use equal-variances t-test
13.209
)pp(:H 210 −
= 0
− )pp(:H 211
0
z-Test: Two Proportions
New Older
Sample Proportions 0.948 0.920
1
2
3
4
5
A B C
t-Test: Two-Sample Assuming Equal Variances
Supplement Placebo
Mean 19.02 21.85
Variance 41.34 25.49
cheating.
13.210
)(:H 210 −
= 0
13.211
)(:H 210 −
= 0
1
2
3
4
5
A B C D
z-Test: Two Proportions
$100-Limit $3000-Limit
Sample Proportions 0.5234 0.5551
Observations 491 490
13.212
)pp(:H 210 −
= 0
− )pp(:H 211
0
13.213
Time:
)(:H 210 −
= 0
Bar bill:
)(:H 210 −
= 0
)(:H 211 −
> 0
Two-tail F test: F = 2.05, p-value = .0723; use equal-variances test statistic
13.214
)(:H 210 −
= 0
)(:H 211 −
13.215
)pp(:H 210 −
= 0
− )pp(:H 211
0
13.216
)(:H 210 −
= 0
13.217
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = .901, p-value = .6052; use equal-variances t-test
13.218
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = 1.41, p-value = .1433; use equal-variances t-test
1
2
3
4
5
A B C
t-Test: Two-Sample Assuming Equal Variances
Female Male
Mean 7.27 7.02
Variance 2.57 2.85
13.219
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = 2.73, p-value = 0; use unequal-variances t-test
13.220
)pp(:H 210 −
= 0
− )pp(:H 211
0
1
2
3
4
5
6
A B C
t-Test: Two-Sample Assuming Equal Variances
City Suburb
Mean 2.42 1.97
Variance 1.08 0.77
Observations 70 78
1
2
3
4
5
A B C
t-Test: Two-Sample Assuming Unequal Variances
Teenagers 20-to-30
Mean 18.18 14.30
Variance 357.32 130.79
school are less likely to take a course in the university’s evening program.
13.221
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = .433, p-value = 0; use unequal-variances t-test
13.222
)(:H 210 −
= 0
−)(:H 211
0
z-Test: Two Proportions
No HS HS
Sample Proportions 0.127 0.358
Observations 63 257
1
2
3
4
A B C
t-Test: Two-Sample Assuming Unequal Variances
Group 1 Groups 2-4
Mean 11.58 10.60
13.223
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = 1.15, p-value = .5373; use equal-variances t-test
13.224
)pp(:H 210 −
= 0
− )pp(:H 211
0
The data must first be unstacked. Success = 2
1
2
3
4
A B C
t-Test: Two-Sample Assuming Unequal Variances
Sale-CDs Sale-fax
Mean 59.04 65.57
1
2
3
4
5
A B C
t-Test: Two-Sample Assuming Equal Variances
No Yes
Mean 91,467 97,836
Variance 461,917,705 401,930,840
13.225
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = .986, p-value = .7464; use equal-variances test statistic
13.226 Two-tail F test: F = 1.09, p-value = .1459; use equal-variances estimator
1
2
3
4
5
A B C D
z-Test: Two Proportions
Female Male
Sample Proportions 0.5945 0.6059
Observations 762 746
13.227
)pp(:H 210 −
= 0
− )pp(:H 211
0
13.228
13.229
)(:H 210 −
= 0
−)(:H 211
0
Two-tail F test: F = 1.07, p-value = .1945; use equal-variances test statistic
13.230
)pp(:H 210 −
= 0
0)pp(:H 211 −
13.231
)(:H 210 −
= 0
−)(:H 211
0