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Explain what Lucy should conclude about how her reading comprehension compares to her peers.

May 30, 2021
Christopher R. Teeple

For this Performance Task Assessment, you will create a PowerPoint presentation that describes key concepts of probability and demonstrates computations with z-scores for the given scenario. Submission Length: 12- to 16-slide, narrated presentation Professional Skills: Oral Communication, Information Literacy, Interpreting Data & Quantitative Fluency, Inquiry and Analysis, and Technology are assessed in this Competency.

Your response to this Assessment should: Reflect the criteria provided in the rubric. Adhere to the required assignment length. Use the PowerPoint template available here. This Assessment requires submission of one (1) file, a completed PowerPoint presentation (.pptx). Save your file as BA3002_presentation_firstinitial_lastname (for example, BA3002_presentation_J_Smith). When you are ready to upload your completed Assessment, use the Assessment tab on the top navigation menu. Instructions Access the following to complete this Assessment:

BA3002_PowerPoint_Template Microsoft. (n.d.). Record a slide show with narration and slide timings. PowerPoint help & training. https://support.office.com/en-us/article/record-a-slide-show-with-narration-and-slide-timings-0b9502c6-5f6c-40ae-b1e7-e47d8741161c Before submitting your Assessment, carefully review the rubric.

This is the same rubric the assessor will use to evaluate your submission, and it provides detailed criteria describing how to achieve or master the Competency. Many students find that understanding the requirements of the Assessment and the rubric criteria help them direct their focus and use their time most productively.

Presentation: Probability and Z-Scores Create a 12- to 16-slide, narrated presentation that addresses the topics listed below. Use the PowerPoint Template to create a PowerPoint presentation that describes key concepts of probability and demonstrates computations of z-scores using the scenario presented below.

You can add additional slides to the template as needed. Include the required information in the slides’ text fields. Additionally, you must supplement the slides by narrating your presentation. You must provide sufficient information by voice narration to demonstrate your mastery of the concepts printed on each slide. In your presentation, respond to the following scenario: Imagine that you have been approached by a school district that wants high school students to better understand probability and how it can be used to explain their standardized test scores in relation to their peers.

Your presentation will have two sections. In the first section, you will provide a general overview of probability. In the second section, you will provide an example of how z-scores can be used to compare a student’s reading comprehension to the average reading comprehension of the school. You will also demonstrate how to determine a student’s raw math score when the z-score is known. Below are the required components and slides of the presentation. Please read the instructions carefully to avoid missing an important requirement.

Title Slide (1 slide) The title of your presentation Date Author (i.e., your name) Section I: Introduction to Probability (5–8 slides total for Section 1) Provide a brief explanation of probability in your own words. Think of this slide as a very general overview or introduction to probability. (1–2 slides) Present an example of simple probability.

This can be one that you create on your own, or one that you find from another source (e.g., Internet, book, etc.). If you use an example you find from another source, you must include a link or reference to that source. (1 slide) Choose three of the following concepts related to statistical probability and explain how they relate to the probability example you presented. Create at least one slide for each concept you choose. (3–5 slides) Relative frequency Likelihood of error “Over the long run” Random sampling Representative sample Random or chance events Confidence that an event will occur the next time Gambler’s fallacy Probability distribution Section II: Computation using z-scores (6–7 slides total for Section II).

Use the following information to complete this section. Lucy, a high school student in the audience of your presentation, wants to know how her score on a test of reading comprehension compares to the population of other students at her school. She is interested in knowing if she is better or worse at reading than her peers. Use these data to complete Section II: Lucy’s raw reading comprehension score is 124.

The population mean is 115 and the standard deviation is 4.3. Explain the variable of interest (1 slide) State the null and alternative hypotheses and explain if a one- or two-tailed z->test should be used. (1–2 slides) Calculate the z->score and explain each step of computation (1 slide) Determine if the results are significant and if the null hypothesis should be retained or rejected when alpha is set at 0.05 and the critical value is ± 1.96.

Explain your decision (1 slide) Explain what Lucy should conclude about how her reading comprehension compares to her peers. Include a statement that explains how the conclusion relates to probability. (1 slide) Lucy is excited that she now understands how z-scores help her understand how her reading compares to her peers.

She now wants to determine her raw score on a math test by using the data available to her. She knows that her z-score in math is 1.4. The mean math score is 193 and the standard deviation is 10.6. Calculate Lucy’s raw math score and explain each step of computation. (1 slide)

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