Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m - 8 normal subjects was 1.75 mm, and the sample standard deviation was 0.55; for n - 12 CTS subjects, the sample mean and sample standard deviation were 2.52 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? State and test the relevant hypotheses using a significance level of 0.01. (Use, for normal subjects and for CTS subjects.) O Hoi 4₁ 1₂-0 H₂H₂H₂O OH₂: M₁-M₂0 H₂H₁-Hy 20 H₂H₁ H₂ = 0 Hai H₂-H₂ <0 O No: 11₁-11₂-0 Hai M₁ - H₂0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) C X X P-value= State the conclusion in the problem context. O Fail to reject Ho. The data suggests that the true average gap detection threshold for CTS subjects exceeds that for normal subjects. Fail to reject Ho. The data suggests that the true average gap detection threshold for CTS subjects is the same as that for normal subjects. O Reject H. The data suggests that the true average gap detection threshold for CTS subjects exceeds that for normal subjects. O Reject H. The data suggests that the true average gap detection threshold for CTS subjects is the same as that for normal subjects.

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Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth
surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m - 8
normal subjects was 1.75 mm, and the sample standard deviation was 0.55; forn - 12 CTS subjects, the sample mean and sample standard deviation were 2.52 and 0.85, respectively. Does this data suggest that the true average gap
detection threshold for CTS subjects exceeds that for normal subjects?
State and test the relevant hypotheses using a significance level of 0.01. (Use y, for normal subjects and for CTS subjects.)
lo Hoi Uy M20
Hg: H₂H₂O
| Ho: M₁ M₂ = 0
H₂H-Hy 20
ⒸH₂²A₁-M₂ = 0
Hải phim thay D
|0 No: 111-112-0
H₂H₁-H₂0
Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
c-
X
X
P-value=
State the conclusion in the problem context.
O Fail to reject Ho. The data suggests that the true average gap detection threshold for CTS subjects exceeds that for normal subjects.
Fail to reject Ho. The data suggests that the true average gap detection threshold for CTS subjects is the same as that for normal subjects.
O Reject H₁- The data suggests that the true average gap detection threshold for CTS subjects exceeds that for normal subjects.
O Reject H. The data suggests that the true average gap detection threshold for CTS subjects is the same as that for normal subjects.
Transcribed Image Text:Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m - 8 normal subjects was 1.75 mm, and the sample standard deviation was 0.55; forn - 12 CTS subjects, the sample mean and sample standard deviation were 2.52 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? State and test the relevant hypotheses using a significance level of 0.01. (Use y, for normal subjects and for CTS subjects.) lo Hoi Uy M20 Hg: H₂H₂O | Ho: M₁ M₂ = 0 H₂H-Hy 20 ⒸH₂²A₁-M₂ = 0 Hải phim thay D |0 No: 111-112-0 H₂H₁-H₂0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) c- X X P-value= State the conclusion in the problem context. O Fail to reject Ho. The data suggests that the true average gap detection threshold for CTS subjects exceeds that for normal subjects. Fail to reject Ho. The data suggests that the true average gap detection threshold for CTS subjects is the same as that for normal subjects. O Reject H₁- The data suggests that the true average gap detection threshold for CTS subjects exceeds that for normal subjects. O Reject H. The data suggests that the true average gap detection threshold for CTS subjects is the same as that for normal subjects.
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