Quantitative noninvasive techniques are needed for routinelyassessing symptoms of peripheral neuropathies, such as carpaltunnel syndrome (CTS). An article reported on a test that involvedsensing a tiny gap in an otherwise smooth surface by probing with afinger; this functionally resembles many work-related tactileactivities, such as detecting scratches or surface defects. Whenfinger probing was not allowed, the sample average gap detectionthreshold for m = 7 normal subjects was 1.85 mm, and thesample standard deviation was 0.57; for n = 11 CTSsubjects, the sample mean and sample standard deviation were 2.47and 0.85, respectively. Does this data suggest that the trueaverage gap detection threshold for CTS subjects exceeds that fornormal subjects? State and test the relevant hypotheses using asignificance level of 0.01. (Use μ1 for normalsubjects and μ2 for CTS subjects.)
Calculate the test statistic and determine the P-value.(Round your test statistic to two decimal places and yourP-value to three decimal places.)
