1. One?Sample Univariate Hypothesis Testing of a Mean
Consider a random sample of 5 adults over the age of 25 from alarge population, which is normally distributed, where E representsthe total years of education completed: ? = [10, 12, 12, 16, 16]Suppose that someone claims that the average person in thepopulation is a college graduate (? = 16).
A. What is the null hypothesis? What is thealternative hypothesis?
B. Can you reject the null hypothesis at the 10?percent level ofsignificance? Can you reject the null hypothesis at the5?percent level of significance? Use the critical valueapproach. You can use R for critical values, but youmust show all of your calculations and explain. Use R,however, to check your work.
C. What is the 95?percent confidence interval for years ofeducation? Provide a written interpretation explainingyour answer.
