Instructions: Formulate the null and alternative hypothesis, identify the illustrate the rejection and nonrejection region and make decisions and conclusions based on given statistical test results....

Extracted text: Instructions: Formulate the null and alternative hypothesis, identify the illustrate the rejection and nonrejection region and make decisions and conclusions based on given statistical test results. Problem 1: 11 STEM-A made a study of whether there is a significant relationship between their grades in General mathematics and Basic Calculus. They claim that there is no significant difference between grades of the two subjects. Level of significance a is set to 0.05. After analysis of data, results showed that the p-value is 0.08. Decision: Conclusion: