Question

Polyester resins reinforced with fiberglass are used to fabricate wall panels of restaurants. It is theorized that adding cement kiln dust (CKD) to the polyester composite will increase wall panel hardness. In a study published by a reputable physics magazine, hardness (joules per squared centimeters) was determined for three polyester composite mixtures that used a 40%CKD weight ratio. The hardness values were reported as 83,86 , and 77j/cᵐ²ᵐ²ㄹesearch has shown that the mean hardness value of polyester composite mixtures that use a 20%CKD weight ratio is μ=76j/cᵐ²Does using a 40% CKD weight ratio increase the mean hardness value of polyester composite mixtures? Support your answer statistically.

Answer 1

A statistical analysis can be performed to determine if using a 40% CKD weight ratio increases the mean hardness value of polyester composite mixtures.

Step-by-step explanation:

According to the information provided, a study was conducted to determine the effect of adding cement kiln dust (CKD) to polyester composites on wall panel hardness.

The study compared the hardness values for three polyester composite mixtures with a 40% CKD weight ratio, which were reported as 83, 86, and 77 j/c².

It is stated that the mean hardness value of polyester composite mixtures with a 20% CKD weight ratio is 76 j/c².

To analyze whether using a 40% CKD weight ratio increases the mean hardness value, we can perform a statistical analysis.

We can use a one-sample t-test to compare the mean hardness values of the 40% CKD mixture with the known mean hardness value of 76 j/c² for the 20% CKD mixture.

This test will help determine if there is a statistically significant difference between the two mean values, indicating whether the increase in CKD weight ratio affects hardness.