Question

Northwood and Eastwood are rival schools that wish to compare how their students did in a...

Northwood and Eastwood are rival schools that wish to compare how their students did in a math competition. 72 randomly chosen Northwood students participated and received a mean score of 28 with a standard deviation of 8, 98 randomly chosen Eastwood students participated and received a mean score of 25 with a standard deviation of 10.
(a) The Eastwood math teacher wants to show through statistics that her students receive a higher mean score in the contest. State her hypotheses.


(b) Compute the test statistic and p-value for this test.


(c) Reach your conclusion at the 0.05 significance level. Be sure to interpret in the context of the problem.


(d) In a separate test, the Eastwood teacher finds evidence that Eastwood students performed better than Southwood students. Would this prove that the Eastwood teacher was more effective than the Southwood teacher? Explain briefly.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Northwood and Eastwood are rival schools that wish to compare how their students did in a...
Northwood and Eastwood are rival schools that wish to compare how their students did in a math competition. 72 randomly chosen Northwood students participated and received a mean score of 28 with a standard deviation of 8, 98 randomly chosen Eastwood students participated and received a mean score of 25 with a standard deviation of 10. (a) The Eastwood math teacher wants to show through statistics that her students receive a higher mean score in the contest. State her hypotheses....
A history teacher believes that students in an afternoon class have a higher mean score than...
A history teacher believes that students in an afternoon class have a higher mean score than the students in a morning class. The teacher randomly selected 41 students from her afternoon class and found that the mean score was a 99 with standard deviation of 6.3. The teacher randomly selected 36 students from her morning class and found that the mean score was a 96 with a standard deviation of 5.8. Can the teacher conclude that the afternoon students have...
A high school math teacher claims that students in her class will score higher on the...
A high school math teacher claims that students in her class will score higher on the math portion of the ACT then students in a colleague’s math class. The mean ACT math score for 49 students in her class is 22.1 and the standard deviation is 4.8. The mean ACT math score for 44 of the colleague’s students is 19.8 and the standard deviation is 5.4. At α = 0.05, can the teacher’s claim be supported? a. Write down the...
6. Almost all medical schools in the United States require students to take the Medical College...
6. Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The scores follow a normal distribution. From published information the standard deviation is 6.4. On a particular campus, the mean score of those taking the MCAT is 25.0. a. If a student is chosen at random, what is the probability the individual’s score is between 20 and 30? b. In a sample of 25 students, what is the sampling distribution of...
Do college students from private schools have higher than average test-taking skills? A researcher administered a...
Do college students from private schools have higher than average test-taking skills? A researcher administered a standard measure of test-taking skills to a randomly chosen student from a private university and found him to have a score of 68. The average on this measure for the population in general is 60 with a standard deviation of 10. What should you conclude about whether this student from a private university has higher test-taking ability? Explain. 8 points
In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test...
In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. a) What is the lowest score that still place a student in the top 15% of the scores? b) Find the probability that a student had a score higher than 350. c) Find the probability that...
Five years ago, the average math SAT score for students at one school was 475. A...
Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has improved. The mean math SAT score for a random sample of 40 students from this school is 469 with a standard deviation of 73. Do the data provide sufficient evidence to conclude that the mean math SAT score for students at the school...
6. A math teacher gives two different tests to measure students' aptitude for math. Scores on...
6. A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 23 and a standard deviation of 4. Scores on the second test are normally distributed with a mean of 64 and a standard deviation of 10. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score...
A certain test preparation course is designed to improve students' SAT Math scores. The students who...
A certain test preparation course is designed to improve students' SAT Math scores. The students who took the prep course have a mean SAT Math score of 504 with a standard deviation of 38.5, while the students who did not take the prep course have a mean SAT Math score of 492 with a standard deviation of 43.5. The SAT Math scores are taken for a sample of 78 students who took the prep course and a sample of 85...
. A certain test preparation course is designed to improve students' SAT Math scores. The students...
. A certain test preparation course is designed to improve students' SAT Math scores. The students who took the prep course have a mean SAT Math score of 504 with a standard deviation of 38.5, while the students who did not take the prep course have a mean SAT Math score of 492 with a standard deviation of 43.5. The SAT Math scores are taken for a sample of 78 students who took the prep course and a sample of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT