Question

iew Policies urrent Attempt in Progress 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. The company wishes to test the hypothesis HO: = 12 against H 1:< 12 using a random sample of n - 4 specimens. Calculate the P-value if the observed statistic is x - 11.1. Round your final answer to five decimal places (e.g. 98.76543). Statistical Tables and Charts e Textbook and Media Save for later Attempts: 0 of 3 used Submit Answer

Answer 1

The test statistic is given by:

$t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}=\frac{11.1-12}{\frac{0.5}{\sqrt{4}}}=-3.60$

Since this is a left-tailed test, so the p-value is given by:

$P(t_{n-1}<-3.60)=P(t_{3}<-3.60)=P(t_{3}>3.60)=0.01838$