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 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. Suppose that the distribution of the sample mean is approximately normal.

The p-value of the test is 0.0013.

Step-by-step explanation:

The test statistic is:

In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that

Standard deviation of 0.5 kilograms.

This means that

Sample of n = 4 specimens. Observed statistic is Xbar (average) = 11.25.  

This means that

Value of the test statistic:

P-value:

Probability of finding a sample mean belo 11.25, which is the p-value of z = -3.

Looking at the z-table, z = -3 has a p-value of 0.0013, thus the this is the p-value of the test.

the  office resources  are the human, physical and financial  resources  which are utilized for performing all the activities in order to achieve the organizational objectives.

happy to

pls mark as brainliest

none cuz there are no "following statements" regarding the question

step-by-step explanation: