Question
In: Statistics and Probability
Post Position 1 2 3 4 5 6 7 8 9 10 Wins 19 14 11...
| Post Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Wins | 19 | 14 | 11 | 15 | 15 | 7 | 8 | 12 | 5 | 11 |
The table below lists the frequency of wins for different post positions in the Kentucky Derby horse race.
Use a 0.05 significance level to test the claim that the likelihood of winning is the same for the different post positions.
What is the critical value (the X2 value)? [Round to the nearest thousandths place]
Solutions
Expert Solution
total frequency= 117
expected frequncy,E = expected proportions*total
frequency
| observed frequencey, O | expected proportion | expected frequency,E | (O-E) | (O-E)²/E | |
| 19 | 0.100 | 11.70 | 7.30 | 4.555 | |
| 14 | 0.100 | 11.70 | 2.30 | 0.452 | |
| 11 | 0.100 | 11.70 | -0.70 | 0.042 | |
| 15 | 0.100 | 11.70 | 3.30 | 0.931 | |
| 15 | 0.100 | 11.70 | 3.30 | 0.931 | |
| 7 | 0.100 | 11.700 | -4.70 | 1.888 | |
| 8 | 0.100 | 11.700 | -3.70 | 1.170 | |
| 12 | 0.100 | 11.700 | 0.30 | 0.008 | |
| 5 | 0.100 | 11.700 | -6.70 | 3.837 | |
| 11 | 0.100 | 11.700 | -0.70 | 0.042 |
chi square test statistic,X² = Σ(O-E)²/E =
13.855
level of significance, α= 0.05
Degree of freedom=k-1= 10 -
1 = 9
Critical value = 16.919 [
Excel function: =chisq.inv.rt(α,df) ]
Decision: test stat < critical , Do not reject
Ho
orchestra answered 1 year agoRelated Solutions
Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14...
Match No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Player A
8
42
56
68
91
123
12
46
57
137
5
80
14
10
19
Player B
38
44
46
59
57
61
48
42
51
39
58
41
55
45
68
1. For the given data set representing the runs scored by two
players in last 15 matches, conduct the following analysis:
i. Which average you will use to summarize...
Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...
Day
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Number of Aides Absent
5
8
11
15
4
2
7
1
4
6
14
19
3
5
8
In which of the following ranges you can find the Upper Control
Limit of the control chart?
0.1427
0.1536
0.1677
Not computable with information available
In which of the following ranges you can find the Lower Control
Limit of the control chart?
Does not exit...
student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...
student
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Test score
67
67
87
89
87
77
73
74
68
72
58
98
98
70
77
Above we have the final averages of the last stats and I want to
know if the class average falls within the boundaries of all my
statistics classes for the past 20 years.
Find the sample size, mean, and standard deviation of the data
above (Table 1)....
3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5...
3
6
4
8
1
10
2
9
11
12
15
22
3
6
7
5
8
1
12
14
Each column represents a different treatment given to sick rats.
Each cell is a different rat. Use statistical analysis and use post
hoc testing using contrasts to find the best
treatment.
Treatment 1: vitamins
Treatment 2: prescription pills
Treatment 3: brain surgery
Treatment 4: shock therapy
Treatment 5: dietary changes
Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18%...
Periods
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
12%
14%
15%
16%
18%
20%
1
0.990
0.980
0.971
0.962
0.952
0.943
0.935
0.926
0.917
0.909
0.893
0.877
0.870
0.862
0.847
0.833
2
0.980
0.961
0.943
0.925
0.907
0.890
0.873
0.857
0.842
0.826
0.797
0.769
0.756
0.743
0.718
0.694
3
0.971
0.942
0.915
0.889
0.864
0.840
0.816
0.794
0.772
0.751
0.712
0.675
0.658
0.641
0.609
0.579
4
0.961
0.924
0.888
0.855
0.823
0.792
0.763
0.735
0.708
0.683
0.636...
x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...
x 2 8 5 9 4 3 9 6 7 8
y 3 6 5 7 9 7 4 6 9 9
-5.48x + 0.17
5.48x + 0.17
-0.17x + 5.48
0.17x + 5.48
Period 0 1 2 3 4 5 6 7 8 9 10 11 PBP NPV IRR...
Period
0
1
2
3
4
5
6
7
8
9
10
11
PBP
NPV
IRR
Project A
$
(1,000,000)
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 400,000
Project B
$
(1,000,000)
$ 500,000
$ 500,000
$ 500,000
Project C
$
(80,000)
$ 1,040
$ 9,456
$ 11,405
$ 18,567
$ 47,453
$ 6,394
$ 45,727
$ 51,933
$ 85,625
Project D
$
(400,000)
$ 4,161...
Input Data Month 0 1 2 3 4 5 6 7 8 9 10 11 12...
Input Data
Month
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
Revenue
$
-
$
-
$
-
$ -
$ -
$
-
$ 2,500
$ 2,875
$ 3,306
$ 3,802
$ 4,373
$ 5,028
$ 5,783
$ 6,650
$ 7,648
$ 8,795
$ 10,114
$ 11,631
$ 13,376
$ 15,382
$ 17,689
$ 20,343
$ 23,394
$ 26,903
Monthly Revenue Growth...
Input Data Month 0 1 2 3 4 5 6 7 8 9 10 11 12...
Input Data
Month
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
Revenue
$
-
$
-
$
-
$ -
$ -
$
-
$ 2,500
$ 2,875
$ 3,306
$ 3,802
$ 4,373
$ 5,028
$ 5,783
$ 6,650
$ 7,648
$ 8,795
$ 10,114
$ 11,631
$ 13,376
$ 15,382
$ 17,689
$ 20,343
$ 23,394
$ 26,903
Monthly Revenue Growth...
Period 0 1 2 3 4 5 6 7 8 9 10 11 PBP NPV IRR...
Period
0
1
2
3
4
5
6
7
8
9
10
11
PBP
NPV
IRR
Project A
$
(1,000,000)
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 400,000
Project B
$
(1,000,000)
$ 500,000
$ 500,000
$ 500,000
Project C
$
(80,000)
$ 1,040
$ 9,456
$ 11,405
$ 18,567
$ 47,453
$ 6,394
$ 45,727
$ 51,933
$ 85,625
Project D
$
(400,000)
$ 4,161...
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