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 x¯=11.5. round your final answer to five decimal places (e. g. 98.76543).

P-value = 0.02275

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  12 kilograms

Sample mean, = 11.5 kilograms

Sample size, n = 4

Alpha, α = 0.05

Population standard deviation, σ = 0.5 kilograms

First, we design the null and the alternate hypothesis

We use one-tailed(left) z test to perform this hypothesis.

Formula:

Putting all the values, we have

We calculate the p-value from the standard z-table:

P-value = 0.02275

i think this could be a possible answer (1 / 84) -1

good luck! : d

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.