Question

A local school district recently implemented an experimental program to improve mathematical skills for a specific high risk population. They selected 15 students to be in the initial study. After 1 year, the students in the program took a national mathematic achievement test. Students in this high risk population score an average of 35 with a standard deviation of 6. The goal of the program is for students to increase performance. Assume the data is approximately normally distributed. The scores the students received are listed below. 40 55 50 30 33 44 25 15 53 40 65 13 58 69 78 The program is using a 5% significance level to report its results. Directions Answer the following questions: 1. Determine and state the mean and standard deviation for the data set. 2. State the alternative hypothesis. 3. State which hypothesis test you would use (Z Test, T Test, 1 Proportion). 4. List either (1) the p-value and alpha OR (2) the critical value and test statistic 5. Determine whether or not to reject the null hypothesis. 6. Using this initial study, should the school district continue to fund the program and/or possibly extend the program to a larger number of students? Explain why or why not.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A local school district recently implemented an experimental program to improve mathematical skills for a specific...
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
  • In a school district, all sixth grade students take the same standardized test. The superintendant of...

    In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 30 scores from all of the students who took the test. She sees that the mean score is 147 with a standard deviation of 38.7896. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 26. Is there evidence that the standard deviation of test scores has...

  • A school district is implementing a reading program targeted to the lower 5% of students based...

    A school district is implementing a reading program targeted to the lower 5% of students based on a standardized reading test. If the average score for all students is 122.6, and the standard deviation is 18, find the cutoff score for those qualifying for the new reading program. Find the percent below the desired data point, z-core for that percentage and the final answer.

  • Question 28 3 pts Suppose that the graduation rate in a school district is 85 percent....

    Question 28 3 pts Suppose that the graduation rate in a school district is 85 percent. A random sample of students from the district are selected to participate in a mentoring program. Among this group of 100 students, 90 students graduate. The statistic for this hypothesis is ; therefore, you reject the null at the 5-percent level of significance and you conclude that the program is in increasing graduation rates. ot; 1.57; can; effective o Z; 2.80, can; effective t;...

  • 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...

  • Use this information to answer the following 3 questions: A high school achievement test has been...

    Use this information to answer the following 3 questions: A high school achievement test has been designed for American students such that the average score of US seniors on this test is 80, and the standard deviation is 10 points. You want to know whether French students score differently than Americans, on average. To study this question, you administer the test (in French) to 300 French high school seniors and observe a mean of 82.5. 1.State the null and alternative...

  • 16) A local school district claims that the number of school days missed by its teachers...

    16) A local school district claims that the number of school days missed by its teachers due 16 to illness is below the national average of u=5. A random sample of 20 teachers provided the data below. At a =0.05, Use the five steps or otherwise to test the district's claim. Assume population standard deviation is 3.5. (10 points) 0 3 6 3 3 5 4 1 3 5 7 3 1 2 3 3 2 4 16

  • A random sample of 64 second-graders in a certain school district are given a standardized mathematics...

    A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.57. Assume the standard deviation for the population of test scores is 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Perform the hypothesis test and compute the P value. Write down your P.value. You...

  • A sample of 100 high school students was provided a special training program designed to improve...

    A sample of 100 high school students was provided a special training program designed to improve their speed reading skills. A month after the conclusion of the course, the students were contacted and asked whether the skills learned in the program were effective. 60 responded YES 9. a. State the null and altemative hypothesis such that one may conclude that if the null hypothesis is rejected then the program was effective. b. State the test statistic you will use. c....

  • Algebra scores in a school district are normally distributed with a mean of 74 and standard...

    Algebra scores in a school district are normally distributed with a mean of 74 and standard deviation 6. A new teaching-and-learning system, intended to increase average scores, is introduced to a random sample of 30 students, and in the first year the average was 76. (a) What is the probability that an average as high as 76 would have been obtained under the old system? (b) What is the null hypothesis for testing the new system, and what is the...

  • Suppose administrators at a large school district decide to institute mandatory study halls at their middle...

    Suppose administrators at a large school district decide to institute mandatory study halls at their middle schools in an effort to boost their students' academic performance. After one year, a guidance counselor decides to test whether students' grade point averages (GPAs) have improved compared to the previous school year. The counselor selects a random sample of 25 eighth-graders from throughout the district who were also enrolled in the district for seventh grade. He records their GPAs for grades seven and...

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