Please show work To obtain information on the corrosion-resistance properties of
ID: 3153791 • Letter: P
Question
Please show work
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 52.8 and a sample standard deviation of s = 4.9. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude (Use alpha = 0.05.) State the appropriate null and alternative hypotheses. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value =Explanation / Answer
Set Up Hypothesis
Null, H0: U<50
Alternate, H1: U>50
Test Statistic
Population Mean(U)=50
Sample X(Mean)=52.8
Standard Deviation(S.D)=4.9
Number (n)=45
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =52.8-50/(4.9/Sqrt(45))
to =3.833
| to | =3.833
Critical Value
The Value of |t | with n-1 = 44 d.f is 1.68
We got |to| =3.833 & | t | =1.68
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 3.8333 ) = 0.0002
Hence Value of P0.05 > 0.0002,Here we Reject Ho
[ANSWERS]
Z = 3.833
P = 0.0002