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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Pleas eanswer subparts 4,5,6

Ch 8 Do We Achieve? 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.
Transcribed Image Text:Ch 8 Do We Achieve? 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.
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