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

Question 39

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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.  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 H<sub>0</sub>:  \mu  = 0 versus H<sub>a</sub>:  \mu   \neq  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 H<sub>0</sub> since the value 0 falls in the 90% confidence interval and would therefore also fall in the 95% confidence interval. D) We reject H<sub>0</sub> since the value 0 falls in the 90% confidence interval. 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: μ\mu = 0 versus Ha: μ\mu \neq 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.

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