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.

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step-by-step explanation: