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.a. H0: μregular > μspecialb. Ha: μregular = μspecialH0: μregular = μspecialc. Ha: μregular < μspecial H0: μregular = μspeciald. Ha: μregular > μspecialH0: μregular = μspeciale. Ha: μregular

Answer 1

Answer:

The relevant hypotheses is:

H₀: $\mu_{regular}=\mu_{special}$ vs. Hₐ: $\mu_{regular}>\mu_{special}$.

Step-by-step explanation:

A manufacturer of circuit boards wants to determine whether to use the special laminate.

The special laminate has been developed to reduce warpage.

The manufacturer will 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.

The experiment performed consisted of using regular laminate on one sample of specimens and the special laminate on another sample, and the amount of warpage will then be recorded.

The hypothesis to perform the test can be defined as follows:

H₀: The true average amount of warpage for special laminate is same for the regular laminate, i.e. $\mu_{regular}=\mu_{special}$.

Hₐ: The true average amount of warpage for special laminate is less than for the regular laminate, i.e. $\mu_{regular}>\mu_{special}$.

Thus, the relevant hypotheses is:

H₀: $\mu_{regular}=\mu_{special}$ vs. Hₐ: $\mu_{regular}>\mu_{special}$.