Question

A regular type of laminate is currently being used by a manufacturer of circuit boards. A special laminate has been developed to reduce warpage. The regular laminate will be used on one sample of specimens and the special laminate on another sample, and the amount of warpage will then be determined for each specimen. The manufacturer will then switch to the special laminate only if it can be demonstrated that the true average amount of warpage for that laminate is less than for the regular laminate. State the relevant hypotheses.

H0: μregular > μspecial

Ha: μregular = μspecialH0: μregular = μspecial

Ha: μregular < μspecial H0: μregular = μspecial

Ha: μregular > μspecialH0: μregular = μspecial

Ha: μregular

Answer 1

Null hypothesis:
`\mu_(regular)= \mu_(special)`

Alternative hypothesis:
`\mu_(regular)> \mu_(special)`

And based on this the best option for this case is:

Ha: μregular > μspecial H0: μregular = μspecial

Explanation:

For this case the interest is verify if the true average amount of warpage for that laminate is less than for the regular laminate.

Let's put notation:

`\mu_(regular)` represent the true mean for the amount of warpage for the regular laminate

`\mu_(special)` represent the true mean for the amount of warpage for the special laminate

And based on the claim, the correct system of hypothesis are:

Null hypothesis:
`\mu_(regular)= \mu_(special)`

Alternative hypothesis:
`\mu_(regular)> \mu_(special)`

And based on this the best option for this case is:

Ha: μregular > μspecial H0: μregular = μspecial