Calculate the test statistic value and value. (Round your test statistic to ane decimal place and your value to three decimal places) Palue-
Calculate the test statistic value and value. (Round your test statistic to ane decimal place and your value to three decimal places) Palue-
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
100%
t and p-value please. WILL thumbs up if correct.
![Torsion during hip external rotation (ER) and extension may be responsible for certain kinds of injuries in golfers and other athletes. The article "Hip Rotational Velocities During the Full Golf Swing reported on a study in which peak ER velocity and peak IR (internal rotation) velocity (both in deg-sec-¹) were determined for a sample of 15 female collegiate golfers during their swings. The following data was sup
by the article's authors.
Golfer ER
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
diff z perc
IR
-130.6 -98.9 -31.7 -1.28
-125.1-115.9 -9.2 -0.97
-51.7 -161.6 109.9 0.34
-179.7 -196.9 17.2 -0.73
-130.5 -170.7 40.2 -0.34
-101.0 -274.9 173.9 0.97
-24.4 -275.0 250.6 1.83
-231.1 -275.7 44.6 -0.17
-186.8 -214.6 27.8 -0.52
-58.5 -117.8 59.3 0.00
-219.3 -326.7 107.4 0.17
LAUSE SALT
-113.1 -272.9 159.8 0.73
-244.3 -429.1 184.8 1.28
-184.4 -140.6 -43.8 -1.83
-199.2 -345.6 146.4
146.4 0.52
(a) Is it plausible that the differences came from a normally distributed population?
Yes, it's plausible that the population distribution of differences is normal.
O No, it's not plausible that the population distribution of differences is normal.
(b) The article reported that mean (SD) -145.3(68.0) for ER velocity and -227.8(96.6) for IR velocity. Based just on this information, could a test of hypotheses about the difference between true average IR velocity and true average ER velocity be carried out? Explain.
O Yes, since the data is not paired, the sample means and standard deviations are useful summaries for inference
Yes, since the data is paired, the sample means and standard deviations are useful summaries for inference.
H₂ HD 0
ⒸH₂i Ho-O
O No, since the data is not paired, the sample means and standard deviations are not useful summaries for inference.
No, since the data is paired, the sample means and standard deviations are not useful summaries for inference.
OH₂H₂O
(c) The article stated that "The lead hip peak IR velocity was significantly greater than the trail hip ER velocity (p = 0.003, t value - 3.65)." (The phrasing suggests that an upper-tailed test was used.) Is that in fact the case? [Note: "p=0.033" in Table 2 of the article is erroneous.]
State and test the appropriate hypotheses. (Use a = 0.05.)
OH₂M₂=O
H: Moso
ⒸM₂² M₂-0
Calculate the test statistic value and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
P-value=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc02cea10-2b20-4726-bfe2-8f9101f448fb%2F849a38df-ad83-4d3e-9f78-1ac9515b9414%2F240odi_processed.png&w=3840&q=75)
Transcribed Image Text:Torsion during hip external rotation (ER) and extension may be responsible for certain kinds of injuries in golfers and other athletes. The article "Hip Rotational Velocities During the Full Golf Swing reported on a study in which peak ER velocity and peak IR (internal rotation) velocity (both in deg-sec-¹) were determined for a sample of 15 female collegiate golfers during their swings. The following data was sup
by the article's authors.
Golfer ER
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
diff z perc
IR
-130.6 -98.9 -31.7 -1.28
-125.1-115.9 -9.2 -0.97
-51.7 -161.6 109.9 0.34
-179.7 -196.9 17.2 -0.73
-130.5 -170.7 40.2 -0.34
-101.0 -274.9 173.9 0.97
-24.4 -275.0 250.6 1.83
-231.1 -275.7 44.6 -0.17
-186.8 -214.6 27.8 -0.52
-58.5 -117.8 59.3 0.00
-219.3 -326.7 107.4 0.17
LAUSE SALT
-113.1 -272.9 159.8 0.73
-244.3 -429.1 184.8 1.28
-184.4 -140.6 -43.8 -1.83
-199.2 -345.6 146.4
146.4 0.52
(a) Is it plausible that the differences came from a normally distributed population?
Yes, it's plausible that the population distribution of differences is normal.
O No, it's not plausible that the population distribution of differences is normal.
(b) The article reported that mean (SD) -145.3(68.0) for ER velocity and -227.8(96.6) for IR velocity. Based just on this information, could a test of hypotheses about the difference between true average IR velocity and true average ER velocity be carried out? Explain.
O Yes, since the data is not paired, the sample means and standard deviations are useful summaries for inference
Yes, since the data is paired, the sample means and standard deviations are useful summaries for inference.
H₂ HD 0
ⒸH₂i Ho-O
O No, since the data is not paired, the sample means and standard deviations are not useful summaries for inference.
No, since the data is paired, the sample means and standard deviations are not useful summaries for inference.
OH₂H₂O
(c) The article stated that "The lead hip peak IR velocity was significantly greater than the trail hip ER velocity (p = 0.003, t value - 3.65)." (The phrasing suggests that an upper-tailed test was used.) Is that in fact the case? [Note: "p=0.033" in Table 2 of the article is erroneous.]
State and test the appropriate hypotheses. (Use a = 0.05.)
OH₂M₂=O
H: Moso
ⒸM₂² M₂-0
Calculate the test statistic value and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
P-value=
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