I REALLY NEED HELP NO IDEA WHERE TO START SAT Performance In

I REALLY NEED HELP!! NO IDEA WHERE TO START

SAT Performance

In this project you will investigate four questions about students’ SAT scores at one high school.

1. What is the mean SAT-Math score at this high school? Standard Deviation?

2. How do students’ SAT Math scores stack up against the rest of the state?

3. Is there a significant difference between Verbal and Math scores for these students? (Use the 0.05 significance level)

4. (Bonus) Nationally males tend to have higher Math scores than females. Is that true at this high school, too?

You will use data from the SAT Score Roster sent to the high school by the College Board. (I would suggest you print such that you get two “1-sided” sheets rather than a “double sided” sheet.) The data represents gender, Verbal scores, and Math scores, for 303 students in a recent graduating class. NOTE: You will not use all of these data; I want a sample of 25 students.

Presentation is always important! Put together a nice product!

Your tasks:

(0) Select a sample of these students, carefully explaining (and showing) your procedure. Again, I want 25.

(1) Now find the mean and standard deviation of this sample (for Math). Show your work in calculating the mean and standard deviation. (Be careful with df!)

(2a) Use your sample to create a 95% confidence interval for the population mean of SAT-Math scores at this high school. Explain this process…use both “math” (e.g, symbols, pictures, numbers, etc) and writing to explain your process. ALSO explain what this indicates! (In other words, interpret the meaning). (Be careful with z- vs. t- scores!)

(2b) Based on your confidence interval, compare the Math performance of these students at this school with the statewide mean Math score of 503. Offer a brief answer to the question: “How do students’ SAT Math scores stack up against the rest of the state?”

(3) Determine whether your sample provides statistical evidence that Verbal and Math scores differ for students at this high school. Yes, this is hypothesis testing! Again, you are using the 0.05 significance level.

I want you to use a Paired t test. Use pp. 365-366 to help guide you.

                              Even more help:

I want you to select a new random sample of students, 20 this time! Show your work on how you do this!.

We currently have two lists of values, Math and Verbal, for these 20 students. You will find the difference of the scores as part of the paried t test. Thus, you have one list of values—the “difference.”

Naturally, you will need to calculate the mean and sample standard deviation for this set of “differences” (again, the example on page 366 will help).

I suggest you let the null hypothesis is that there is no significant mean difference between the Math scores and the Verbal scores of students at this high school. The alternative hypothesis is that there is a significant mean difference between the Math scores and Verbal scores at this high school.

Here’s how I would write it:

also know as:

Note: there is 2-tails to this!!!

Wow, that was almost too much help!!!

4. (Bonus) NOT AS MUCH HELP THIS TIME!!!

Use pages 361-363 to help. Determine whether your sample provides statistical evidence that males have higher Math scores than females at this school. This time--let’s let the level of significance be set at 0.10. You can use your ORIGINAL sample of 25 students…you’ll just have to break it into male vs. female…to find the mean and st.dev. for each “subset.” Again, the example on pages 361-363 will be very helpful!

Solution