Question
In: Statistics and Probability
A coach uses a new technique in training middle distance runners. The times for 9 randomly...
A coach uses a new technique in training middle distance runners. The times for 9 randomly selected, independent athletes to run 800 meters before and after this training are shown below. Assume the distribution of differences are normally distributed
Before 115.2 120.9 108.0 112.4 107.5 119.1 121.3 110.8 122.3
After 116.0 119.1 105.1 111.9 109.1 115.1 118.5 110.7 120.9
Build and Interpret 90% confidence interval for the true mean difference in 800-meter times.
Solutions
orchestra answered 1 year agoRelated Solutions
A coach times 6 randomly selected runners to measure their times early in the week and...
A coach times 6 randomly selected runners to measure their times
early in the week and at the end of the week (in minutes). Using
the parts below, help the coach run a paired t-test to determine if
the runners were faster (had lower times) at the end of the week.
Use α = 0.05.
Runner
Monday time
Fridays time
1
26.2
25.8
2
25.2
24.9
3
24.8
24.9
4
24.1
24.6
5
25.9
25.2
6
25.1
24.5
A. State...
A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their...
A coach uses a new technique to train gymnasts. 7
gymnasts were randomly selected and their competition scores were
recorded before and after the training. The results are shown
below
Subject A B
C D E F
G
Before 9.6 9.7 9.7 9.4 9.7 9.5 9.5
After 9.7 9.9 9.7 9.3 9.8 9.8
9.3
Using a 0.01 level of significance, test the claim that the
training technique is effective in raising the gymnasts’...
A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their...
A coach uses a new technique to train gymnasts. 7 gymnasts were
randomly selected and their competition scores were recorded before
and after the training. The results are shown below
Subject
A
B
C
D
E
F
G
Before
9.6
9.7
9.7
9.4
9.7
9.5
9.5
After
9.7
9.9
9.7
9.3
9.8
9.8
9.3
Using a 0.01 level of significance,
test the claim that the training technique is effective in raising
the gymnasts’ score.
Use the traditional method of
hypothesis...
A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their...
A coach uses a new technique to train gymnasts. 7 gymnasts were
randomly selected and their competition scores were recorded before
and after the training. The results are shown below. Use a 0.01
significance level to test the claim that the training technique is
effective in rising the gymnasts’ scores.
Subject
A
B
C
D
E
F
G
Before
9.6
9.7
9.7
9.1
9.7
9.2
9.1
After
9.7
9.9
9.7
9.3
9.8
9.8
9.3
Question #4 A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected...
Question #4
A coach uses a new technique to train gymnasts. 7 gymnasts were
randomly selected and their competition scores were recorded before
and after the training. The results are shown below.
Before
9.4
9.0
9.2
9.4
9.2
9.3
9.7
After
9.5
9.3
9.5
9.6
9.4
9.5
9.9
Using a 0.10 level of significance and Critical Value method to
test the claim that the training technique is effective in raising
the gymnasts' scores. (Mean difference is less than zero)
Mary wants to know if training with her program will improve runners’ times in the mile....
Mary wants to know if training with her program will
improve runners’ times in the mile. She compares 5 runners whom she
trains with 5 runners that receive standard instruction (38
points).
Improvement in time with Mary’s method in decrease in
seconds
Improvement in time without Mary’s method in decrease in
seconds.
30
20
34
25
39
35
50
20
30
25
Identify your mean, median, mode, and range for the
group that experienced Mary’s method (4 points).
Identify your...
Mary wants to know if training with her program will improve runners’ times in the mile....
Mary wants to know if training with her program will improve
runners’ times in the mile. She compares 5 runners whom she trains
with 5 runners that receive standard instruction.
Improvement in time with Mary’s method in decrease in
seconds
Improvement in time without Mary’s method in decrease in
seconds.
35
19
50
15
40
25
45
10
35
24
Present your data in graphical form. You pick the type of
graph
Calculate the effect size (if appropriate) and interpret...
1. As reported in Runners World magazine, the times of the finishers in the New York...
1. As reported in Runners World magazine, the times of the
finishers in the New York City 10 km run follow the normal model
with mean=61 minutes and standard deviation= 9 minutes.
a) Using the 68-95-99.7% rule, 68% of runners will finsh between
which two times? (In minutes)
b) Using the 68-95-99.7% rule, 99.7% of runners will finish
between which two times? (In minutes)
Use z-scores and your z-table for the following. Round
z-scores to two decimal places but give...
A mid-distance running coach claims that his six-month training program significantly reduces the average time to...
A mid-distance running coach claims that his six-month training
program significantly reduces the average time to complete a
1500-meter run. Five mid-distance runners were randomly selected
before they were trained with the coach’s six-month training
program and their completion time of 1500-meter run was recorded
(in minutes). After six-months of training under the coach, the
same five runner’s 1500 meter run time recorded again, the results
are given below. Runner 1 2 3 4 5 Completion time before training
5.9...
The times (in seconds) for a sample of New York Marathon runners were as follows: Gender...
The times (in seconds) for a sample of New York Marathon runners
were as follows:
Gender
Age Class
Male
20-29
30-39
40+
13615
14677
14528
18784
16090
17034
14256
14086
14935
10905
16461
14996
12077
20808
22146
Female
16401
15357
17260
14216
16771
25399
15402
15036
18647
15326
16297
15077
12047
17636
25898
Conduct a two-way analysis of variance including interactions to
examine these data. Perform model criticism. What do you conclude?
Note that R users do not need to...
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