Question

To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in2; the inspection team decides to test H0: μ = 100 versus Ha: μ > 100. Explain why it might be preferable to use this Ha rather than μ < 100.

Answer 1

Answer:

The explanation is shown below.

Step-by-step explanation:

Consider the provided information.

Here the required claim is whether the pipe welds in a nuclear power plant meet specifications or not.

It is given that mean strength of welds should exceed 100 lb/in².

This can be written as:  $\mu>100$

So, the null hypothesis must be opposite of this $\mu\leq 100$

Which we can rewrite as $\mu=100$

Alternative hypothesis is represent the claim, μ>100

So the null and alternative hypothesis should be $H_0:\mu=100, H_a: \mu>100$ respectively.