Do Students Tend to Improve Their SAT Mathematics (SAT-M)scores the Second

Multiple Choice

Do students tend to improve their SAT Mathematics (SAT-M) scores the second time they take the test? A random sample of four students who took the test twice received the following scores. Assume that the change in SAT-M score (second score - first score) for the population of all students taking the test twice is Normally distributed.Suppose we do not believe that students tend to improve their SAT-M scores the second time they take the test.Based on a 90% confidence interval,we wish to test H₀:  = 0 versus H_a:   0 at the 5% significance level.Determine which of the following statements is true.

A) We cannot make a decision since the confidence interval is so wide.
B) We cannot make a decision since the confidence level we used to calculate the confidence interval is 90%,and we would need a 95% confidence interval.
C) We accept H₀ since the value 0 falls in the 90% confidence interval and would therefore also fall in the 95% confidence interval.
D) We reject H₀ since the value 0 falls in the 90% confidence interval.