Final Review Answers
description
Transcript of Final Review Answers
![Page 1: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/1.jpg)
Final Review Answers
![Page 2: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/2.jpg)
Two-Tailed t Test Solution -1
• H0: • Ha: • = • df = • Critical Value(s):
Test Statistic:
Decision:
= 368 368.0525 - 1 = 24
t0 2.064-2.064
.025Reject H0 Reject H0
.025
372.5 368 4.5525
Xt Sn
Reject at = .05
P-value = 0
![Page 3: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/3.jpg)
Two-Tailed Z Test Solution -2
• H0: • Ha: • = • n = • Critical Value(s):
Test Statistic:
Decision:
= 70 70.0536
Z0 1.96-1.96
.025Reject H 0 Reject H0
.025
69.7 70 .513.536
XZ
n
Do not reject at = .05
![Page 4: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/4.jpg)
One-Tailed Z Test Solution -3
• H0: • Ha: • = • n =• Critical Value(s):
Test Statistic:
Decision:
= 32 < 32.0160
Z0-2.33
.01Reject
30.7 32 2.653.860
XZ
n
Reject at = .01
![Page 5: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/5.jpg)
Two-Tailed t Test Solution-4
• H0: • Ha: • • df • Critical Value(s):
Test Statistic:
Decision:
= 3.25 3.25.0164 - 1 = 63
t0 2.656-2.656
.005Reject H0 Reject H0
.005
3.238 3.25 .82.11764
Xt Sn
Do not reject at = .01
![Page 6: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/6.jpg)
One-Tailed t Test Solution - 5
• H0: • Ha: • =• df =• Critical Value(s):
Test Statistic:
Decision:
= 140 < 140.0520 - 1 = 19
t0-1.729
.05
Reject H0
138.47 140 2.572.66
20
XtSn
Reject at = .05
![Page 7: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/7.jpg)
One-Tailed t Test Solution -6
• H0: • Ha: • = • df = • Critical Value(s):
Test Statistic:
Decision:
= 5 < 5.0510 - 1 = 9
t0 1.833
.05
Reject H0
6.4 5 1.313.373
10
XtSn
Do not reject at = .05
![Page 8: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/8.jpg)
One-Proportion Z Test Solution - 7
• H0: • Ha: • = • n =• Critical Value(s):
Test Statistic:
Decision:
p = .10p < .10.05200
Z0-1.645
.05Reject H0
0
0 0
11 .10ˆ 200 2.12.10 .90
200
p pZp q
n
Reject at = .05
![Page 9: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/9.jpg)
One-Proportion Z Test Solution - 8
• H0: • Ha: • = • n = • Critical Value(s):
Test Statistic:
Decision:
p = .04p .04.05500
Z0 1.96-1.96
.025Reject H 0 Reject H0
.025
0
0 0
25 .04ˆ 500 1.14.04 .96
500
p pZp q
n
Do not reject at = .05
![Page 10: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/10.jpg)
1. Miles per gallon ratings of cars before and after mounting radial tires - DEPENDENT
2. The life expectancy of light bulbs made in two different factories - INDEPENDENT
3. Difference in hardness between two metals: one contains an alloy, one doesn’t - INDEPENDENT
4. Tread life of two different motorcycle tires: one on the front, the other on the back - DEPENDENT
9
![Page 11: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/11.jpg)
• H0:• Ha:• • df • Critical Value(s):
1 - 2 = 0 (1 = 2)1 - 2 0 (1 2).0511 -1 = 10
t0 2.228-2.228
.025Reject H 0 Reject H0
.025
Small-Sample Test Solution 10-A
1 2 1 2
2 22 21 2
1 2
3.27 2.53 01.43
1.30 1.1611 15
X Xt
S Sn n
Test Statistic:
Do not reject at = .05
![Page 12: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/12.jpg)
• H0:• Ha:• • df • Critical Value(s):
1 - 2 = 1% (1 = 2)1 - 2 < 1% (1 2).0511 -1= 10
Small-Sample Test Solution 10-B
1 2 1 2
2 22 21 2
1 2
3.27 2.53 10.505
1.30 1.1611 15
X Xt
S Sn n
Test Statistic:
Do not reject at = .05
t0-1.812
.05Reject H0
![Page 13: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/13.jpg)
Large-Sample Test Solution - 11
• H0:• Ha:• • n1 = , n2 =• Critical Value(s):
t0 1.761-1.761
.05Reject H0 Reject H0
.05
1 - 2 = 0 (1 = 2)1 - 2 0 (1 2).10 15 15
1 2 1 2
2 22 21 2
1 2
6012 5832 00.86
602 49715 15
X Xt
S Sn n
Do not reject at = .10
![Page 14: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/14.jpg)
Paired-Difference Solution-12
• H0:• Ha: • = • df =• Critical Value(s):
d = 0 (d = A - B)d < 0.104 - 1 = 3
t0-1.638
.10
Reject H0
![Page 15: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/15.jpg)
Computation Table
Observation Before After Difference
Sam 85 94 9
Tamika 94 87 -7
Brian 78 79 1
Mike 87 88 1
Total 4
d = 1 Sd = 6.53
![Page 16: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/16.jpg)
Test Statistic:
Decision:
Do not reject at = .10
0 1 0 .3066.53
4d
d
d Dt
Sn
![Page 17: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/17.jpg)
• H0: • Ha: • = • n1 = n2 = • Critical Value(s):
p1 - p2 = 0p1 - p2 0
.0178 82
z0 2.58-2.58
Reject H0 Reject H0
.005 .005
Test for Two Proportions Solution -13
![Page 18: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/18.jpg)
1 21 2
1 2
63 49ˆ ˆ.808 .59878 82
X Xp pn n
.808 .598 0
(.808)(.192) (.598)(.402)78 82
2.90
Z
Reject at = .01
![Page 19: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/19.jpg)
• H0:• Ha:• = • nMA = nCA =• Critical Value(s):
pMA – pCA = 0pMA – pCA < 0
.051500 1500
Z0-1.645
.05Reject H0
Test for Two Proportions Solution - 14
![Page 20: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/20.jpg)
74 129ˆ ˆ.0493 .08601500 1500
CAMAMA CA
MA CA
XXp pn n
.0493 .0860 0
(.0493)(.9507) (.0860)(.914)1500 1500
4.01
Z
Reject at = .05
![Page 21: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/21.jpg)
• H0:• Ha:• =• n1 = n2 = n3 =• Critical Value(s):
p1 = p2 = p3 = 1/3
At least 1 is different
.05
63 45 72
= .05
c20
Reject H0
5.991
c2 Test for k Proportions Solution - 15
![Page 22: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/22.jpg)
,0
1 2 3 180 1 3 60i iE n np
E n E n E n
2
2
all cells
2 2 263 60 45 60 72 606.3
60 60 60
i i
i
n E nE n
c
Reject at = .05
![Page 23: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/23.jpg)
c2 Test of Independence Solution - 16
• H0: • Ha: • = • df = • Critical Value(s):
No Relationship
Relationship
.05
(2 - 1)(2 - 1) = 1
c20
Reject H0
3.841
= .05
![Page 24: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/24.jpg)
House Location Urban Rural
House Style Obs. Exp. Obs. Exp. Total Split-Level 63 54.6 49 57.4 112 Ranch 15 23.4 33 24.6 48 Total 78 78 82 82 160
112·82 160
48·78 160
48·82 160
112·78 160
![Page 25: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/25.jpg)
2
2
all cells
2 2 211 11 12 12 22 22
11 12 22
2 2 263 54.6 49 57.4 33 24.68.41
54.6 57.4 24.6
ij ij
ij
n E
E
n E n E n EE E E
c
Reject at = .05
![Page 26: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/26.jpg)
c2 Test of Independence Solution -17
• H0: • Ha: • = • df = • Critical Value(s):
No Relationship
Relationship
.05
(2 - 1)(2 - 1) = 1
c20
Reject H0
3.841
= .05
![Page 27: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/27.jpg)
Diet Pepsi No Yes
Diet Coke Obs. Exp. Obs. Exp. Total No 84 53.5 32 62.5 116 Yes 48 78.5 122 91.5 170 Total 132 132 154 154 286
170·132 286
170·154 286
116·132 286
154·132 286
![Page 28: Final Review Answers](https://reader035.fdocuments.in/reader035/viewer/2022062814/56816755550346895ddc0bc9/html5/thumbnails/28.jpg)
2
2
all cells
2 2 211 11 12 12 22 22
11 12 22
2 2 284 53.5 32 62.5 122 91.554.29
53.5 62.5 91.5
ij ij
ij
n E
E
n E n E n EE E E
c
Reject at = .05