Question

4. Twenty five high school students complete a preparation program for taking the SAT test. Here are the SAT scores from the 25 students who completed the SAT prep program: 434 694 457 534 720 400 484 478 610 641 425 636 454 514 563 370 499 640 501 625 612 471 598 509 531 The mean of these scores is 536.00. We know that the population average for SAT scores is 500 with a standard deviation of 100. The question is, are these students SAT scores (M = 536) significantly greater than a population mean of 500 with a population standard deviation of 100? Note that the creators of the SAT prep program claims that it will increase (and not decrease) your SAT score.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

H0: Null hypothesis:mu leq 500

HA:Alternative hypothesis: μ> 500

SE = sigma /sqrt{n}

= 100/V25 = 4

Test statistic is:
Z = (536 - 500)/4 = 9

Take alpha =0.05

One Tail - Right Side Test

From Table, critical value of Z = 1.645

Since the calculated value of Z = 9 is greater than critical value of Z = 1.645,the difference is significant. Reject null hypothesis.

Conclusion:
The data support the claim that SAT prep program will increase SAT score.

Add a comment
Know the answer?
Add Answer to:
4. Twenty five high school students complete a preparation program for taking the SAT test. Here...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • For all questions: (a) state the null and alternative hypotheses, (b) conduct appropriate statistical methods with...

    For all questions: (a) state the null and alternative hypotheses, (b) conduct appropriate statistical methods with alpha-.05, (c) report your final statistics with a decision regarding the null hypothesis, and (d) summarize your results in your own words. 1. In this era of credit cards there is discussion on whether or not coin use is declining. A professor has been collecting data for years on the number of cents people carry in their pockets or purses and maintains that the...

  • A high school principle currently encourages students to enroll in a specific SAT prep program that...

    A high school principle currently encourages students to enroll in a specific SAT prep program that has a reputation of improving score by 50 points on average. A new SAT prep program has been released and claims to be better than their current program. The principle is thinking of advertising this new program to students if there is enough evidence at the 5% level that their claim is true. The principle tests the following hypotheses: Ho = 50 points HA...

  • A researcher wants to determine whether high school students who attend an SAT preparation course score...

    A researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 (? = 1050). The 16 students who attend the preparation course average 1150 on the SAT, with a sample standard deviation of 300. On the basis of these data, can the researcher conclude that the preparation course...

  • A researcher wants to determine whether high school students who attend an SAT preparation course score...

    A researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 (? = 1050). The 16 students who attend the preparation course average 1200on the SAT, with a sample standard deviation of 100. On the basis of these data, can the researcher conclude that the preparation course has...

  • A high school principle currently encourages students to enroll in a specific SAT prep program that...

    A high school principle currently encourages students to enroll in a specific SAT prep program that has a reputation of improving score by 5050 points on average. A new SAT prep program has been released and claims to be better than their current program. The principle is thinking of advertising this new program to students if there is enough evidence at the 5%5% level that their claim is true. The principle tests the following hypotheses: H0:μ=50 points HA:μ>50 pointsH0:μ=50 points...

  • A guidance counselor claims that the high school students in a college preparation program have higher...

    A guidance counselor claims that the high school students in a college preparation program have higher ACT scores than those in a general program. The sample mean ACT scores for 37 high school students in a college prep program is 22.7 and assume the population standard deviation is 3.5. The sample mean ACT scores for 35 high school students in a general prep program is 21.1. Assume the population standard deviation is 4.9. At  = 0.02 , test the...

  • A researcher wants to determine whether high school students who attend an SAT preparation course score...

    A researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 (? = 1050). The 16 students who attend the preparation course average 1200on the SAT, with a sample standard deviation of 100. On the basis of these data, can the researcher conclude that the preparation course has...

  • The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level...

    The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514.SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with...

  • 4. National SAT (Scholastic Aptitude Test) scores for high school students in the U.S.A. are normally...

    4. National SAT (Scholastic Aptitude Test) scores for high school students in the U.S.A. are normally distributed with a mean of 500 and a standard deviation of 116. What is the percentage of students that score (a) above 700? (C) between 650 and 800? (b) under 400? (d) within 50 of the mean?

  • (4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sampl...

    (4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sample of thirty- six students is taken from the entire population of 500 students. The mean test score for the sample is three hundred eighty. Find (a) 95% confidence interval for the unknown population mean test score. (b) 95% confidence interval for the unknown population mean test score if...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT