Abusiness receives supplies of copper tubing where the supplier has said that the average length is 26.70 inches so that they will fit into the business’ machines. a random sample of 48 copper tubes finds they have an average length of 26.77 inches. the population standard deviation is assumed to be 0.20 inches. at α=0.05, should the business reject the supplier’s claim?

The business should reject the supplier's claim as mean length is not equal to claimed value of 26.70 inches.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 26.70 inches

Sample mean, = 26.77 inches

Sample size, n = 48

Alpha, α = 0.05

Population standard deviation, σ = 0.20 inches

First, we design the null and the alternate hypothesis

We use Two-tailed z test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,

We reject the null hypothesis and accept the alternate hypothesis. Thus, the business should reject the supplier's claim as mean length is not equal to claimed value of 26.70 inches.