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MATH 2300 This document is property of Texas Tech and cannot be reproduced or disseminated. Dissemination or reproduction of this property will result in a referral to the Office of Student Conduct. MATH 2300- Paula Cervantes October 19th, 2023 Sessions: Tuesdays and Thursdays 7:00-8:30 PM Announcements: - Make sure you are checking your emails; you don't want to miss any information I send regarding session times and upcoming test preps. - The packet link will disappear at the end of the session, make sure you have downloaded or made a copy. - Make sure to handwrite a Formula/Definition Sheet according to your instructor’s guidelines - Make sure to bring any printed-out Tables needed, such as Table A and possibly Table B - Make sure to bring an Orange Scantron if your teacher requires it, you can get these at the SUB - Make sure to do your review, especially if your teacher gives extra credit for completion Agenda: • Announcements • Warm-Up over: Basic Terminology for Exam 2 • Chapter 3 o Uniform and Normal Distributions • Chapter 4 o Scatterplots and Correlation • Chapter 5 o Regression and Residuals • Chapter 8 o Sampling Methods • Chapter 9 o Experiment Designs • Chapter 12-13 o Probability and Random Variables
MATH 2300 This document is property of Texas Tech and cannot be reproduced or disseminated. Dissemination or reproduction of this property will result in a referral to the Office of Student Conduct. Q1. Suppose a researcher has collected data on the relationship between the number of hours individuals spend exercising per week (x) and their weight loss in pounds (y). The regression equation is y = 150 - 2x. If an individual exercised for 8 hours per week and lost 155 pounds, what is the residual for this person? Q2. In many fast- food restaurants, there is a strong correlation between a menu item’s fat content (measured in grams) and its calorie content. We want to investigate this relationship. Using all of the food menu items at a well-known fast-food restaurant, the fat content and calorie content were measured. We decide to fit the least-squares regression line to the data, with fat content (x) as the explanatory variable and calorie content (y) as the response variable. A scatterplot of the data (with regression line included) and a summary of data are provided. One of the menu items is a hamburger with 107 grams of fat and 1410 calories. The intercept of the least-squares regression line is:
MATH 2300 This document is property of Texas Tech and cannot be reproduced or disseminated. Dissemination or reproduction of this property will result in a referral to the Office of Student Conduct. a. 204.50 b. 662.88 c. -662.88 d. None of the above Q3. A university conducts a survey to gather feedback from students about their study habits. One question asks students how many hours they study per day. Some students may feel pressure to exaggerate their study hours to conform to the ideal student image. What type of bias is introduced in this survey? A) Response bias B) Non-response bias C) Social desirability bias D) Selection bias Q4. A market researcher wants to conduct a survey to understand consumer preferences for a new product. To create a representative sample, they obtain a list of all households in the target region and randomly select 500 households from the list to participate in the survey. What type of sample does the market researcher use for their survey? A. Convenience sample B. Cluster sample C. Stratified sample D. Simple random sample Q5. Import customs officials sometimes randomly select crates of cargo for close, but time-consuming, inspection. Suppose there are nine crates of cargo from the companies listed in the given table, each containing several hundred items. Customs officials will randomly select four for close inspection. To do this, officials will use the numerical labels attached to the companies’ names in the table and the given list of random digits, which they will read from left to right, starting at the beginning of the list.
MATH 2300 This document is property of Texas Tech and cannot be reproduced or disseminated. Dissemination or reproduction of this property will result in a referral to the Office of Student Conduct. The simple random sample is: a. 7488 b. 7483 c. Cherryport, Dallhoise, Foxwood, and Sapphire d. Cherryport, Foxwood, Bamboro, and Strommond Q6. A pharmaceutical company is testing the effectiveness of a new pain relief medication. They divide 600 participants into three groups: Group A receives the new medication, Group B receives a placebo (inactive substance), and Group C receives an existing pain relief medication. The primary research question is: Does the new medication provide better pain relief than both the placebo and the existing medication? This study has: A) Three treatments B) Two treatments C) Three treatments and a control group D) Two treatments and a control group Q7. A nutrition researcher wants to investigate the impact of a new dietary supplement on cholesterol levels. They recruit 200 participants with high cholesterol levels. Half of the participants are randomly assigned to take the dietary supplement, while the other half takes a placebo. After three months, the change in participants' cholesterol levels is measured. In this study, what is the factor being investigated? A) The number of participants B) The change in cholesterol levels C) The type of dietary supplement (new supplement or placebo) D) The duration of the study
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