Do students tend to improve (increase) their math SAT scores the second time they take the test? A random sample of four students who took the test twice received the following scores.     Student First Score Second Score Difference                               2nd score - 1st score 1 450 440 -10 2 520 600 80 3 720 720 0 4 600 630 30             Mean       Standard Deviation 40.41                                 Assume that the change in math SAT score (second score – first score) for the population of all students taking the test the difference is  approximately normally distributed. Calculate the needed statistic to complete the table above in order to perform a hypothesis test.   To determine if students tend to improve (increase) their math SAT scores the second time they take the test state the null and alternative hypothesis.   Calculate the t statistic. (round to 3 decimal places)   How many degrees of freedom? At a level of significance of what is your conclusion

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Do students tend to improve (increase) their math SAT scores the second time they take the test? A random sample of four students who took the test twice received the following scores.

 

 

Student

First Score

Second Score

Difference                               2nd score - 1st score

1

450

440

-10

2

520

600

80

3

720

720

0

4

600

630

30

 

 

 

 

   

Mean

 

   

Standard Deviation

40.41

                               

Assume that the change in math SAT score (second score – first score) for the population of all students taking the test the difference is  approximately normally distributed.

Calculate the needed statistic to complete the table above in order to perform a hypothesis test.

 

To determine if students tend to improve (increase) their math SAT scores the second time they take the test state the null and alternative hypothesis.

 

Calculate the t statistic. (round to 3 decimal places)

 

How many degrees of freedom? At a level of significance of what is your conclusion

 

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