Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure oil-filled submarine power cable, a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.04 mm. What hypotheses should be tested, and why?

The available information is. Null hypothesis:

H o:б = 0.05 (The true standard deviation is sheath thickness is 0.05) Alternative hypothesis:

H ₁: б < 0.05 (The true standard deviation is sheath thickness is less than 0.05)

Null hypothesis: H0

And

Alternative hypothesis: Ha

Step-by-step explanation:

In this question,

Null hypothesis:

H0 : µ = 0.04

Alternative hypothesis:

Ha : µ < 0.04

The reasons for these are based on the fact below:

H0 will always be stated as an equality claim.

If θ denotes the parameter of interest, the null hypothesis will

have the form

H0 : θ = θ0

where θ0 is a specified number called the null value of the parameter.

Also, The alternative to the null hypothesis H0 : θ = θ0 will look like one of the following three assertions:

Ha : θ > θ0

Ha : θ < θ0

Ha : θ 6 = θ0