# hostos

the average math sat score is 500 with a standard deviation of 100. a particular high school claims that its students have usually high math SAT scores a random sampel of 50 students from this school was selected, and the mean math sat score was 530 . Is the high school justified in its claim?

1. 👍 0
2. 👎 0
3. 👁 154
1. Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√n

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score. Is it smaller than your alpha error?

1. 👍 0
2. 👎 0
posted by PsyDAG

## Similar Questions

1. ### statistics

The average math SAT score is 500 with a standard deviation of 100. A particular high school claims that its students have unusually high math SAT scores. A random sample of 50 students from this school was selected, and the mean

asked by Nancy on November 23, 2010
2. ### stats

SAT math scores approx. follow a normal distribution, with mean 500 and standard deviation 100. What % of students should have an SAT math score above 500? I think I use mean (500) + z-score * SD (100), but I do not know how to

asked by CM on September 28, 2009
3. ### CRJ303-Statistics question

Re-worded from the "Study Questions" part of Chapter 5 from this site: "Student Study Site for Essentials of Social Statistics for a Diverse Society" Please show the steps for each question "When the Scholastic Aptitude Test (SAT)

asked by Michael on December 7, 2012
4. ### bus. stats

Given that math SAT scores are normally distributed (follow the empirical rule) m=500 Standard deviation=100 what is the math SAT score for someone who is in the 80th percentile of his or her class.

asked by mike on March 3, 2010
5. ### bus. stats

Given that math SAT scores are normally distributed (follow the empirical rule) m=500 Standard deviation=100 what is the math SAT score for someone who is in the 80th percentile of his or her class.

asked by mike on March 3, 2010
6. ### statistics

The mean of math SAT scores is 500 and the standard deviation is 100. A random sample of 64 students from Leeds H.S. received an average of 480. Conduct a hypothesis test to determine if the population mean SAT score for Leeds

asked by lola on April 19, 2012
7. ### Statistic

The mean SAT score for 13 male high school students is 500 and the standard deviation is 100. The mean SAT score for 16 female high school students is 490 and the standard deviation is 80. At o=.05 sigma sign are male SAT scores

asked by Dhelp on February 10, 2016
8. ### statistics

SAT scores are normally distributed. The SAT in English has a mean score of 500 and a standard deviation of 100. a. Find the probability that a randomly selected student's score on the English part of the SAT is between 400 and

asked by Joanne on August 4, 2008
9. ### math

i took the sat and received a score of 488 on the math section. the average score was 445 with a standard deviation of 110. where does my score fit in the sample and what is the z score?

asked by patricia on July 29, 2011
10. ### statistics

sat scores around the nation tend to have a mean score of about 500, a standard deviation of 100 points and are approximately normal distribution. a person who score 600 on the sat has approximately what percentile rank within the

asked by mary on October 16, 2010

More Similar Questions