In WDMS fighter must have less than 260 lb to fight A fighte

In WDMS fighter must have less than 260 lb to fight. A fighter has been measured three times and his measures were 259.0, 259.4, 260.2.

Using 95% confidence interval determine whether the fighter should be allowed to fight.

The confidence interval is (do not round just write the first two digits of the answer including 0 at the end if needed)

[

,

]. We conclude choose one option and write the letter in the blank below:

(a) that fighter should be allowed to fight.

(b) that fighter should NOT be allowed to fight.

Solution

Mean = 259.533

Standard deviation = 0.611010

n=3

degree of freedom =n-1 =3-1=2

t critical value at df=2 and 95% confidence level is 4.30265273

therfore confidence intervel = x+/- t*s/sqrt(n)

=259.533 +/-   4.30265273* 0.611010/sqrt(3)

=259.533 +/- 1.517832983

= 258.0151670 , 261.0508330

answer is (258.01 , 261.05)

that fighter should be allowed to fight. because mean with in limit