Quizzes- Inferential Statistics

User Generated

Oyrffvat4Tbq

Mathematics

ucumberlandsedu

Description

Please see the attached.The quizzes are due in 7 days. Thank you for all you do.😊

Unformatted Attachment Preview

Mr. Jones and the New Worksheet Mr. Jones wanted to check if there was an observable impact of a particular worksheet on his students’ test scores for Chapter 1. His idea was to test if there was a significant variation in the average test score of the class that used the worksheet in comparison to the class that did not. In the class before lunch, he used the worksheet but not the one after lunch. He has 23 students in this class. Their test scores are below: Before Lunch 58 79 59 45 39 67 81 80 32 72 35 21 31 60 57 20 68 43 24 16 31 58 82 a. b. c. d. After Lunch 23 67 74 46 38 90 14 79 38 63 11 38 18 56 44 70 27 33 16 31 24 30 17 Which test are you using? What are your H0 (null hypothesis) and Ha (alternative hypothesis)? Calculate your statistic. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.) e. Write a one to two sentence conclusion that correctly responds to the question. 1. Consider the table of test scores below: 36 37 86 36 78 a. b. c. d. 16 64 39 51 61 61 59 56 18 49 97 97 86 64 26 27 85 26 69 82 Find the Mean. Find the Median. Find the Mode. Discuss which of these statistics you would use to describe this set of test scores and back up your choice with some reasoning from the book or from your notes. 2. A particular resource class must perform at a level consistent with the rest of the school to avoid being discontinued. On the first quarter statewide test, the mean score of the school was 78. The 14 students in the resource class had a 71.86 mean test score and a 17.52 standard deviation. The district informs the principal that the class should be discontinued because the average is below that of the rest of school. Is this reasonable or does the principal have evidence to support an argument against this decision? a. b. c. d. Which test are you using? What are your H0 (null hypothesis) and Ha (alternative hypothesis)? Calculate your statistic. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.) e. Write a one to two sentence conclusion that correctly responds to the question. 1. Write a paragraph discussing the following terms, how they are related, and how they are different: population, sample, parameter, and statistic. 2. Write at least two sentences discussing the difference between descriptive and inferential statistics. 3. One football player was tired of teachers and students making comments under the general assumption that student-athletes were less intelligent or inferior students to those not playing sports. To get rid of the “dumb jock” labels, he compared the results on a college readiness assessment of student-athletes and non-athletes. On this particular assessment, a student could receive the following scores: “under-prepared,” “on-track,” or “college-ready.” He recorded the following chart: Under-Prepared College-Ready Athlete 88 224 Non-Athlete 127 300 a. b. c. d. Which test are you using? What are your H0 (null hypothesis) and Ha (alternative hypothesis)? Calculate your statistic. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.) e. Write a one to two sentence conclusion that correctly responds to the question. 1. Based on enrollment and progression trends, North High School principal predicted that the number of students in each grade level could be estimated by a formula using last year’s enrollment. His formula was to multiply last year’s enrollment by 2 then subtract 100, that is, NEW ENROLLMENT = 2x-100 where x is the enrollment last year. For example, if there were 350 9th graders last year, then he predicts there would be (350 x 2) – 100 = 700 – 100 = 600 9th graders this year. Using the numbers below, determine if the principal’s model is accurate. 9th 10th 11th 12th Last Year Enrollment 114 88 154 127 New Enrollment 135 92 188 150 a. b. c. d. Which test are you using? What are your H0 (null hypothesis) and Ha (alternative hypothesis)? Calculate your statistic. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.) e. Write a one to two sentence conclusion that correctly responds to the question. 2. A sixth grade teacher has 150 students. For a particular assignment, she allows each student to choose a project, report, or craft. She would like to know if a student’s age group affects their choice because she has a 10-11 year old group and 12-13 year old group. a. What statistical test could she use? b. What would her null (H0) and alternative (Ha) hypothesis be? 3. One school district rejects the idea that their average test scores deviate from the average of the rest of the state. Statistically, which test could they use to argue their case? a. What statistical test could she use? b. What would her null (H0) and alternative (Ha) hypothesis be? 4. Safety Inc. created a training module, and they would like to see if there is improvement in safety knowledge after groups complete the training. Sixty men and women took a safety knowledge check before they worked through the training module. After completing the training, they took a similar safety check. a. What statistical test could she use? b. What would her null (H0) and alternative (Ha) hypothesis be? 1. Ms. Smith’s Classroom Experiment Ms. Smith teaches three Algebra I classes that cover exactly the same content. She is wondering if changing the order of some of the lessons would be beneficial to students. In class A, she teaches everything in the traditional order. In class B, she decides to skip Chapter 1 as it is preliminary information that students may already know. In class C, she decides to do Chapter 5 prior to doing Chapter 3. She would like to know if there are any significant differences in the average scores of the three classes. Class A 50.90 28.55 46.33 28.42 36.19 93.61 23.73 77.83 54.34 43.32 63.96 56.19 17.70 81.86 86.10 25.61 52.89 21.31 41.44 99.71 74.50 92.45 98.38 4.10 34.47 a. b. c. d. Class B 91.04 81.51 26.55 5.56 36.49 70.91 32.23 50.48 40.52 38.47 45.63 89.13 33.04 23.31 74.89 41.79 42.04 98.38 76.79 20.96 18.66 82.75 55.04 13.89 49.37 Class C 58.93 40.52 43.89 47.99 22.14 40.42 33.73 60.29 75.05 37.40 70.01 31.17 13.41 10.12 62.96 89.27 44.58 4.75 34.15 5.06 85.20 20.23 56.49 31.12 17.87 Which test are you using? What are your H0 (null hypothesis) and Ha (alternative hypothesis)? Calculate your statistic. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.) e. Write a one to two sentence conclusion that correctly responds to the question. 2. Improvement Check Each station in a manufacturing process was rated by the company’s efficiency expert. After the review, a great deal of time and money were invested into improvements including maintenance and upgrades. The financial officer wanted to review the impact of the investment and asked if the average rating had significantly improved. Before Upgrades 84 90 98 45 88 95 97 90 89 89 94 a. b. c. d. After Upgrades 87 96 96 75 92 94 95 90 91 92 94 Which test are you using? What are your H0 (null hypothesis) and Ha (alternative hypothesis)? Calculate your statistic. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.) e. Write a one to two sentence conclusion that correctly responds to the question.
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer


Anonymous
Super useful! Studypool never disappoints.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags