Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis h0: µ = 12 against h1: µ < 12 using a random sample of n = 4 specimens. calculate the p-value if the observed statistic is xbar (average) = 11.25

0.00135

Step-by-step explanation:

Given that a textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms.

H0: µ = 12 against H1: µ < 12

n =4

std error =

Mean difference

Test statistic t = mean diff/std error = -3

p value=0.00135 <0.05 our significance level

So reject H0

There is evidence to prove that mean is less than 12 kg.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

answer: the answer is 127 degrees