Question

You find out that the average 10th grade math score, for Section 6 of the local...

You find out that the average 10th grade math score, for Section 6 of the local high school, is 87 for the 25 students in the class. The average test score for all 10th grade math students across the state is 85 for 1,800 students. The standard deviation for the state is 3.8.


Answer the following questions:

What z score do you calculate?
What is the area between the mean and the z score found in Appendix A of the textbook?
What does this mean about the probability of this test score difference occurring by chance? Is it less than 0.05?

Homework Answers

Know the answer?
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
Similar Questions
In Test-1 of Math-120 you scored 85, where the mean score of the class is 70...
In Test-1 of Math-120 you scored 85, where the mean score of the class is 70 and standard deviation = 5. On Math-150 Test-1 you scored 88, where the mean score on that class is 76 and standard deviation = 6. You did comparatively better on which test, Math-120 or Math-150? Show and explain your reasoning with the help of z-score.
In Test-1 of Math-120 you scored 85, where the mean score of the class is 70...
In Test-1 of Math-120 you scored 85, where the mean score of the class is 70 and standard deviation = 5. On Math-150 Test-1 you scored 88, where the mean score on that class is 76 and standard deviation = 6. You did comparatively better on which test, Math-120 or Math-150? Show and explain your reasoning with the help of z-score.
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...
The average math SAT score is 519 with a standard deviation of 111. A particular high...
The average math SAT score is 519 with a standard deviation of 111. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was​ selected, and the mean math SAT score was 563. Is the high school justified in its​ claim? Explain. ____because the​ z-score ​( ​) ______since ______within the range of a usual​ event, namely within __________of the mean of the sample means. ​(Round to two...
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...
In a study of Math SAT scores done in 2010, the investigators computed the average Math...
In a study of Math SAT scores done in 2010, the investigators computed the average Math SAT score ( Ai )in each of the 50 states and D.C. and the percentage ( Pi ) of high school seniors in each state that took the test that year. They found that the correlation between the variables A and P was r = -0.77. (a) Does this mean that the test scores were better on average in states where fewer a lower...
In a study of Math SAT scores done in 2010, the investigators computed the average Math...
In a study of Math SAT scores done in 2010, the investigators computed the average Math SAT score ( Ai )in each of the 50 states and D.C. and the percentage ( Pi )of high school seniors in each state that took the test that year. They found that the correlation between the variables A and P was r = -0.77. (a) Does this mean that the test scores were better on average in states where fewer a lower percentage...
In a study of Math SAT scores done in 2010, the investigators computed the average Math...
In a study of Math SAT scores done in 2010, the investigators computed the average Math SAT score ( A i )in each of the 50 states and D.C. and the percentage ( P i )of high school seniors in each state that took the test that year. They found that the correlation between the variables A and P was r = -0.77. (a) Does this mean that the the test scores were better on average in states where fewer...
the national average for the 7th grade aptitude test in 2004 was 85. The principal at...
the national average for the 7th grade aptitude test in 2004 was 85. The principal at O'Farrell Middle School feels that the averagr for his students this year will be different. He randomly selected 10 students to take the aptitude test. Their scores were: 83.4 72.1 89.2 83.3 85.9 79.2 80.3 88.5 90.1 1- state the sample mean and mean and sample standard deviation. 2- Determine 95% confidence interval 3- Does this confidence interval suggest that the average score of...
Math SAT: The math SAT test was originally designed to have a mean of 500 and...
Math SAT: The math SAT test was originally designed to have a mean of 500 and a standard deviation of 100. The mean math SAT score last year was 515 but the standard deviation was not reported. You read in an article for an SAT prep course that states in a sample of 87 students, the mean math score was 534, but they did not disclose the standard deviation. Assume the population standard deviation (σ) for all prep course students...