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 1.76 mm, and the sample standard deviation was 0.55; for n = 11 CTS subjects, the sample mean and sample standard deviation were 2.56 and 0.84, 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 μ1 for normal subjects and μ2 for CTS subjects.) Required:
Calculate the test statistic and determine the P-value.

Answer

test statistic    

P-value

Step-by-step explanation:

From the question we are told that

     The  first  sample  size is  

     The first  sample mean is  

     The first  standard is  

     The second is

     The second sample mean is  

     The second standard deviation is  

      The level of significance is

The  null hypothesis is

The  alternative hypothesis is  

Generally the test statistics is mathematically represented as

=>        

=>              

Generally degree of freedom is mathematically represented as

=>      

=>      

From the student t distribution table the probability value to the left that corresponds to  at a degree of freedom of   is  

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.