Question
In: Statistics and Probability
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.
| Machine 1 |
Machine 2 |
Machine 3 |
Machine 4 |
|---|---|---|---|
| 6.7 | 8.8 | 10.8 | 9.6 |
| 7.9 | 7.6 | 10.2 | 12.6 |
| 5.6 | 9.5 | 9.6 | 11.9 |
| 7.5 | 10.2 | 10.1 | 10.5 |
| 8.6 | 9.4 | 8.9 | 11.2 |
| 7.5 | 10.3 | 8.6 | 11.4 |
Find the value of the test statistic. (Round your answer to two decimal places.)___
Use Fisher's LSD procedure to test for the equality of the means for machines 2 and 4. Use a 0.05 level of significance.
Find the value of LSD. (Round your answer to two decimal places.)
LSD = ___
Find the pairwise absolute difference between sample means for machines 2 and 4
x2 − x4 =___
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. Suppose the following data show the average attendance for the 14 teams in the International League. Also shown are the teams' records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won.
| Team Name | Division | W | L | PCT | Attendance |
|---|---|---|---|---|---|
| Buffalo Bisons | North | 66 | 77 | 0.462 | 8,818 |
| Lehigh Valley IronPigs | North | 55 | 89 | 0.382 | 8,479 |
| Pawtucket Red Sox | North | 85 | 58 | 0.594 | 9,092 |
| Rochester Red Wings | North | 74 | 70 | 0.514 | 6,911 |
| Scranton-Wilkes Barre Yankees | North | 88 | 56 | 0.611 | 7,149 |
| Syracuse Chiefs | North | 69 | 73 | 0.486 | 5,764 |
| Charlotte Knights | South | 63 | 78 | 0.447 | 4,521 |
| Durham Bulls | South | 74 | 70 | 0.514 | 6,999 |
| Norfolk Tides | South | 64 | 78 | 0.451 | 6,287 |
| Richmond Braves | South | 63 | 78 | 0.447 | 4,458 |
| Columbus Clippers | West | 69 | 73 | 0.486 | 7,799 |
| Indianapolis Indians | West | 68 | 76 | 0.472 | 8,537 |
| Louisville Bats | West | 88 | 56 | 0.611 | 9,152 |
| Toledo Mud Hens | West | 75 | 69 | 0.521 | 8,238 |
Find the value of the test statistic. (Round your answer to two decimal places.)___
Find the p-value. (Round your answer to three decimal places.)
p-value =___
Use Fisher's LSD procedure to determine where the differences occur. Use α = 0.05.
Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.)
North and SouthLSD=
North and WestLSD=
South and WestLSD=
Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.)
xN − xS=
xN − xW=
xS − xW=
Solutions
Expert Solution
1)
Applying ANOVA:
value of the test statistic =15.97
p value =0.000
| Fisher's (LSD) for group i and j =(tN-k)*(sp*√(1/ni+1/nj) = | 1.19 | ||||
| x2-x4 | 1.90 | significant difference |
2)
value of the test statistic =6.95
p value =0.011
North and SouthLSD=1621.56
North and WestLSD=1621.56
South and WestLSD=1776.33
xN − xS=2136
xN − xW=729
xS − xW=2865
orchestra answered 1 year agoRelated Solutions
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.5
9.0
11.0
9.7
7.9
7.8
10.2
12.7
5.4
9.8
9.6
12.1
7.6
10.4
10.4
10.8
8.7
9.5
9.2
11.3
7.7
9.9
9.0
11.2
(a)
At the α = 0.05 level of significance, what is the
difference, if any, in the population mean times among the four
machines?
State the null...
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.6
8.6
10.9
9.7
8.0
7.4
10.3
12.7
5.5
9.5
9.7
11.9
7.7
10.0
10.2
10.6
8.7
9.3
9.1
11.1
7.9
9.8
8.6
11.2
Use Fisher's LSD procedure to test for the equality of the means
for machines 2 and 4. Use a 0.05 level of significance.
Find the value of...
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.5
8.9
10.7
9.9
7.8
7.7
10.0
12.9
5.4
9.6
9.4
12.0
7.5
10.2
10.0
10.7
8.4
9.5
8.9
11.2
7.6
9.9
8.6
11.7
(a)
At the α = 0.05 level of significance, what is the
difference, if any, in the population mean times among the four
machines?
State the null...
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.6
9.0
10.8
9.8
8.2
7.6
10.2
12.7
5.5
9.7
9.6
12.1
7.6
10.3
10.2
10.7
8.8
9.6
9.0
11.2
7.7
10.2
8.4
11.9
(a)
At the α = 0.05 level of significance, what is the
difference, if any, in the population mean times among the four
machines?
State the null...
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.5
9.1
10.7
9.7
8.1
7.6
10.1
12.4
5.6
9.8
9.3
11.9
7.6
10.3
9.9
10.5
8.5
9.4
8.8
11.1
7.5
10.2
8.8
11.0
(a) At the α = 0.05 level of significance, what is the
difference, if any, in the population mean times among the four
machines?
State the null...
To test for any significant difference in the number of hours between breakdowns for four machines,...
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.6
8.6
10.9
9.7
8.0
7.4
10.3
12.7
5.5
9.5
9.7
11.9
7.7
10.0
10.2
10.6
8.7
9.3
9.1
11.1
7.9
9.8
8.6
11.2
Find the value of the test statistic. (Round your answer to two
decimal places.)
______________.
Find the p-value. (Round your answer to three decimal
places.)
p-value =...
To test for any significant difference in the number of hours between breakdowns for three machines,...
To test for any significant difference in the number of hours
between breakdowns for three machines, the following dataset was
obtained:
Machine 1
Machine 2
Machine 3
6.4
8.7
9.9
7.4
10.3
12.8
12.1
9.2
7.3
8.4
7.4
8.8
Choose ALL appropriate pairs of hypotheses that you would use to
perform this test:
A.
B.
C.
D.
To test for any significant difference in the mean number of hours between breakdowns for four...
To test for any significant difference in the mean number of
hours between breakdowns for four machines, the following data were
obtained.
Machine 1
Machine 2
Machine 3
Machine 4
6.4
8.7
11.1
9.9
7.8
7.4
10.3
12.8
5.3
9.4
9.7
12.1
7.4
10.1
10.3
10.8
8.4
9.2
9.2
11.3
7.3
9.8
8.8
11.5
The mean times between breakdowns are 7.1, 9.1, 9.9 and 11.4
hours respectively. In the analysis of variance, MSTR = 19.26 and
MSE = .97. Use...
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.
You may need to use the appropriate technology to answer this
question.
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
You may need to use the appropriate technology to answer this
question.
To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
Machine
1
Machine
2
Machine
3
Machine
4
6.5
8.7
11.0
9.8
8.0
7.6...
1- Test the hypothesis that there is a significant difference between the number of hours older...
1- Test the hypothesis that there is a significant difference
between the number of hours older (60 or more) versus younger
people watch T.V. Alpha is 05
a) State the assumptions
b) State the null and alternate hypotheses
c) explain your decision to reject or not reject and formulate
your conclusion (Alpha is .05) Show your work.
d) what is the mean difference between the two groups?
e) what are the lower and upper 95% confidence intervals?
f) which group...
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