Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: H0 : μ = 0 Ha : μ > 0 where µ is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class. The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028. Explain ?

Question

Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses:

H0 : μ = 0

Ha : μ > 0

where µ is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class.

The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028.

Explain ?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Regarding z-scores: a. How is a z-score obtained? b. What is the interpretation of a z-score? c. An ...

A: Click to see the answer

Q: 1. Draw a vertical line through a normal distribution for the following z score location, and find t...

A: Click to see the answer

Q: more opportunities to earn and invest than younger individuals. The following data were obtained fro...

A: Click to see the answer

Q: Statistics Question

A: The linear relationship between two continuous variables is described with the use of correlation.

Q: For a Friedman test, how do we a. measure variation among sample mean ranks for the treatments? b. d...

A: a. SSTR: The variation among the sample means for the treatments, computed for the ranks.

Q: Births The probability of a baby being born a boy is 0.512. Consider the problem of finding the prob...

A: Click to see the answer

Q: P-value? Interpret the p-value?

A: Click to see the answer

Q: Eye Color Based on a study by Dr. R Sorita at Indiana University, assume that 12% of us have green e...

A: a. Obtain the probability of at least 86 people with green eyes among 650 randomly selected people. ...

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organ...

A: Consider X be a random variable that follows normal distribution indicates the oxygen demand in the ...