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 = 5 normal subjects was 1.62 mm, and the sample standard deviation was 0.53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.36 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? USE SALT State and test the relevant hypotheses using a significance level of 0.01. (Use #₁ for normal subjects and #₂ for CTS subjects.) O HO: H1 - H2 = 0 H₂H₁ H₂ ²0 o Hoi My My = 0 H₂: M₁ M₂ #0 о но: 11-12=0 Ha: M₁ M₂ > 0 О HО H1 - 2 = 0 H₂H₁ H₂ <0 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.) t = P-value=

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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 = 5 normal subjects was 1.62 mm, and the sample standard deviation was 0.53; for n = 10 CTS subjects, the sample mean and sample standard
deviation were 2.36 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects?
USE SALT
State and test the relevant hypotheses using a significance level of 0.01. (Use μ₁ for normal subjects and 2 for CTS subjects.)
0 Но М1-М2=0
Hải My My 20
| Ho: M₁ M₂ = 0
на: H1 - H2#0
о но: 41-H2=0
Hải My M2 > 0
ⒸH₁ H₁ H₂ = 0
H₂: M₁ - H₂ <0
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.)
t =
P-value=
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 = 5 normal subjects was 1.62 mm, and the sample standard deviation was 0.53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.36 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? USE SALT State and test the relevant hypotheses using a significance level of 0.01. (Use μ₁ for normal subjects and 2 for CTS subjects.) 0 Но М1-М2=0 Hải My My 20 | Ho: M₁ M₂ = 0 на: H1 - H2#0 о но: 41-H2=0 Hải My M2 > 0 ⒸH₁ H₁ H₂ = 0 H₂: M₁ - H₂ <0 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.) t = P-value=
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