Wanted to have my solution checked for this question Research Question To what extent does ERAU's new composite material improve the load bearing capacity of aircraft wings, i e , greater load capacity (if any) H A All aircraft wings constructed with the new composite material (Population 2) will have a greater load bearing capacity (improvement) than all aircraft wings that are not constructed with the new material H 0 All aircraft wings constructed with the new composite material (population 2) will not have a greater load bearing capacity (improvement) than all aircraft wings that are not constructed with the new material Population 1 characteristics Sample data without new wing composite material Random Sample Size, n 50, Sample Mean, x bar 61 lbs sq in, Sample Standard Deviation, s 4 lbs sq in Population 2 characteristics Sample data with new wing composite material Random Sample Size, n 40, Sample Mean, x bar 64 lb sq in , Sample Standard Deviation, s 3 lbs sq in Assume that the significant level, 0 05 What is the p value Answer the research question in plain language What is the effect size, i e , large , medium , or small Answer z (x (x bar)) (standard deviation) this implies that For P(X 5), z (50 61) 4 2 75 the value of 2 75 from the table 0 034 The p value 0 034 Testing against alternative hypothesis, H A All aircraft wings constructed with the new composite material will have a greater load bearing capacity (improvement) as compared to all aircraft wings that are not constructed with the new material This is because using the null hypothesis, the composite aircraft wing load bearing capacity as well as the general aircraft wings Since the p value is less than 5 , the null hypothesis is rejected at a 5 level of significance Therefore, there is enough proof to conclude that Allaircraft wings constructed with the new composite material (Population 2)willhave a greater load bearing capacity (improvement) compared to all aircraft wings that are not constructed with the new material

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jul 07, 2024

Wanted to have my solution checked for this question..... Research Question: To what extent does ERAU's new composite material improve the load-bearing capacity of aircraft

Wanted to have my solution checked for this question.....

Research Question: To what extent does ERAU's new composite material improve the load-bearing capacity of aircraft wings, i.e., greater load capacity (if any)?
H_A:Allaircraft wings constructed with the new composite material (Population 2)willhave a greater load-bearing capacity (improvement) thanallaircraft wings that are not constructed with the new material.
H₀:Allaircraft wings constructed with the new composite material (population 2) willnothave a greater load-bearing capacity (improvement) thanallaircraft wings that are not constructed with the new material.
Population 1 characteristics: Sample data without new wing composite material: Random Sample Size,n= 50, Sample Mean, x-bar = 61 lbs/sq in, Sample Standard Deviation,s= 4 lbs/sq. in
Population 2 characteristics: Sample data with new wing composite material: Random Sample Size,n= 40, Sample Mean, x-bar = 64 lb/sq. in., Sample Standard Deviation,s= 3 lbs/sq. in.
Assume that the significant level,= 0.05
What is thep-value? Answer the research question in plain language. What is the effect size, i.e., "large", "medium", or "small"?

Answer

z = (x - (x bar)) / (standard deviation) this implies that

ForP(X < 5), z = (50 - 61)/4

= - 2.75

the value of -2.75 from the table

= 0.034

The p-value = 0.034

Testing against alternative hypothesis, H_A:Allaircraft wings constructed with the new composite material willhave a greater load-bearing capacity (improvement) as compared toallaircraft wings that are not constructed with the new material. This is because using the null hypothesis, the composite aircraft wing load-bearing capacity as well as the general aircraft wings.

Since the p-value is less than 5%, the null hypothesis is rejected at a 5% level of significance. Therefore, there is enough proof to conclude that Allaircraft wings constructed with the new composite material (Population 2)willhave a greater load-bearing capacity (improvement) compared toallaircraft wings that are not constructed with the new material.