Question

Can we prove that Corn A has a higher yield on average than Corn B? Assume acres were divided up randomly between the types and use the 10% significance level. A) What is the ehance that we will conclude Corn A has a higher yield on average when it doesn't? B) What is the chance that we won't conclude Corn A has a higher yield on average when it actually does? H) Give a 95%Cl for the mean difference (Corn A-Com B) for the population.

Answer 1

In order to determine if Corn A has a higher yield on average than Corn B, we can conduct a hypothesis test using a 10% significance level. The chance of concluding that Corn A has a higher yield when it doesn't is 10%. The chance of not concluding that Corn A has a higher yield when it actually does is 90%.

Step-by-step explanation:

A) The chance of concluding that Corn A has a higher yield on average when it actually doesn't is equal to the significance level, which is 10%. This means that there is a 10% chance of a Type I error.

B) The chance of not concluding that Corn A has a higher yield on average when it actually does is equal to 100% minus the significance level, which is 90%. This means that there is a 90% chance of correctly not rejecting the null hypothesis.

C) To calculate a 95% confidence interval for the mean difference between Corn A and Corn B, we would need additional information such as sample means and standard deviations for both types of corn.