In: Math

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* = 7 normal subjects was 1.85 mm, and the
sample standard deviation was 0.57; for *n* = 11 CTS
subjects, the sample mean and sample standard deviation were 2.47
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 *μ*_{1} for normal
subjects and *μ*_{2} for CTS subjects.)

Calculate the test statistic and determine the *P*-value.
(Round your test statistic to two decimal places and your
*P*-value to three decimal places.)

t | = | |

P-value | = |

Given that,

mean(x)=1.85

standard deviation , s.d1=0.57

number(n1)=7

y(mean)=2.47

standard deviation, s.d2 =0.85

number(n2)=11

null, Ho: u1 = u2

alternate, H1: u1 ≠ u2

level of significance, alpha = 0.01

from standard normal table, two tailed t alpha/2 =3.71

since our test is two-tailed

reject Ho, if to < -3.71 OR if to > 3.71

we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)

to =1.85-2.47/sqrt((0.3249/7)+(0.7225/11))

to =-1.8518

| to | =1.8518

critical value

the value of |t alpha| with min (n1-1, n2-1) i.e 6 d.f is
3.71

we got |to| = 1.85181 & | t alpha | = 3.71

make decision

hence value of |to | < | t alpha | and here we do not reject
Ho

p-value: two tailed ( double the one tail ) - Ha : ( p ≠ -1.8518 )
= 0.114

hence value of p0.01 < 0.114,here we do not reject Ho

ANSWERS

---------------

null, Ho: u1 = u2

alternate, H1: u1 ≠ u2

test statistic: -1.8518

critical value: -3.71 , 3.71

decision: do not reject Ho

p-value: 0.114

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...

1. What is carpal tunnel syndrome?
2. Which are the risk factors of carpal tunnel syndrome?
3. Describe the symptoms of carpal tunnel syndrome
4. What will happen if carpal tunnel syndrome is not
treated?
5 . What is the treatment for Carpal tunnel syndrome?

1. What is carpal tunnel syndrome?
2. Which are the risk factors of carpal tunnel syndrome?
3. Describe the symptoms of carpal tunnel syndrome
4. What will happen if carpal tunnel syndrome is not
treated?
5 . What is the treatment for Carpal tunnel syndrome?

a 45 year old woman recently underwent a carpal tunnel
release operation for carpal tunnel syndrome of the left hand
following the operation she complains of weakened flexion of the
thumb the tendon of which muscle have been damaged

Rationale for assessing the skin, hair, and Nails.
Rationale for assessing the peripheral vascular &
lymphatic

Using a significance level of 0.05 to
compare results of treatment for carpal tunnel syndrome, test that
the proportion for surgery is greater than the proportion for
splints.
group
Number of
successes
sample size
surgery
60
100
splints
50
100

When treating carpal tunnel syndrome, should a patient be
treated with surgery or should a splint be applied? In a study on
this issue, 73 patients were treated with surgery and 83 were
treated with a splint. After 12 months, success was noted in 67
patients that had surgery, whereas success was noted in only 60 of
the patients that had a splint. Assume that the observations came
from a SRS.
a) (3 points) Construct an appropriate graphical summary to...

Using a significance level of 0.05 to
compare results of treatment for carpal tunnel syndrome, test that
the proportion for surgery is greater than the proportion for
splints.
group
Number of
successes
sample size
surgery
64
80
splints
56
80

When treating carpal tunnel syndrome, should a patient be
treated with surgery or should a splint be applied? In a study of
this issue, 73 patients were treated with surgery and 83 were
treated with a splint. After 12 months, success was noted in 63 of
the surgery patients and 60 of the splint patients. Go through “The
Drill” for the data in this exercise. We are interested in any
difference either way.
“The Drill” – Confidence Intervals
Assumptions and...

Carpal tunnel syndrome is a common wrist complaint resulting
from a compressed nerve. It is often the result of extended use of
repetitive wrist movements, such as those associated with the use
of a keyboard. Among the various treatments available, two are
common: apply a splint or perform surgery. The splint treatment has
the advantages of being noninvasive. simpler, quicker, and much
less expensive. But do those advantages justify the splint
treatment instead of the surgery treatment? A critical factor...

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- A voltaic cell is constructed that is based on the following reaction: Sn2+(aq)+Pb(s)→Sn(s)+Pb2+(aq). Part A If...
- Which format do you prefer, direct or indirect? Why? What advantages & disadvantages are there for...
- US History. Discuss the farm crisis of the late 19th century. What were the issues and...
- Did the values of μ measured directly and indirectly agree? As the tension is increased, does...
- If a doughnut shop offers seven different varieties of doughnut, how many different dozens of doughnuts...
- An IT project requires 6 activities. The table below displays the expected time and budgeted cost...
- Use a while(true) loop to ask the user the following 2 values “Enter a value x...

ADVERTISEMENT