Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134494043
Author: Jeff Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
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Chapter 8.3, Problem 16E
Margins of Error and Confidence Intervals. In Exercises 13–16, assume that population proportions are to be estimated from the samples described. In each case, find the approximate margin of error and 95% confidence interval.
16. n = 2250,
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A researcher believes that the so-called “sugar high” is not real. He gathered 30 adolescents and recorded their activity level in the scale of 0 – 100 (0 = not active and 100 = super active). First, he recorded participants’ activity level before they consumed candy. After recording their pre-sugar activity level, the researcher gave out 5 Snickers bars to participants. Then, he recorded their post-sugar activity level. The average difference between post-sugar and pre-sugar activity level is 50 (i.e., the activity levels are higher after sugar than prior to it) with a standard deviation of 10.
A). What is the type of test you will use? (z-test, single-sample t-test, paired-samples t-test, or independent samples t-test) and why (what information provided in the problem)B). What are the hypotheses (Be Specific)
A researcher believes that the so-called “sugar high” is not real. He gathered 30 adolescents and recorded their activity level in the scale of 0 – 100 (0 = not active and 100 = super active). First, he recorded participants’ activity level before they consumed candy. After recording their pre-sugar activity level, the researcher gave out 5 Snickers bars to participants. Then, he recorded their post-sugar activity level. The average difference between post-sugar and pre-sugar activity level is 50 (i.e., the activity levels are higher after sugar than prior to it) with a standard deviation of 10.
A). Complete test statistic and critical values
B). Conclusion
Please solve part d, e, f, g.
In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model
Yi=β0+β1Xi+ei
where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's…
Chapter 8 Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Ch. 8.1 - Sampling Distribution. Distinguish between a...Ch. 8.1 - Sampling Error. What is a sampling error? How does...Ch. 8.1 - Sample Means and Proportions. What is a sample...Ch. 8.1 - Sample Size. How does the sample size affect how...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Notation. In Exercises 912, identify the notation...Ch. 8.1 - Notation. In Exercises 912, identify the notation...
Ch. 8.1 - Prob. 11ECh. 8.1 - Notation. In Exercises 912, identify the notation...Ch. 8.1 - Prob. 13ECh. 8.1 - Estimating Population Means. When 50 adult females...Ch. 8.1 - Distribution of Sample Means. Assume that cans of...Ch. 8.1 - Distribution of Sample Means. Assume that the...Ch. 8.1 - Sample and Population Proportions. A population...Ch. 8.1 - Sample and Population Proportions. The College of...Ch. 8.1 - Sampling Distribution. A quarterback threw 1...Ch. 8.1 - Sampling Distributions. The ages (in years) of the...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Proportions. In Exercises...Ch. 8.1 - Distributions of Sample Proportions. In Exercises...Ch. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.2 - Statistical Literacy and Critical Thinking...Ch. 8.2 - Margin of Error and Confidence Interval. If you...Ch. 8.2 - 95% Confidence Interval. Once you have constructed...Ch. 8.2 - Sample Size. Suppose you seek a particular margin...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Concepts and Applications Confidence Interval. One...Ch. 8.2 - Margin of Error. Based on a random sample of 48...Ch. 8.2 - Prob. 11ECh. 8.2 - Sample Size. The National Health Examination...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - Prob. 19ECh. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - 21. Sample Size for TV Survey. Nielsen Media...Ch. 8.2 - Sample Size for Housing Prices. A government...Ch. 8.2 - Sample Size for Mean IQ Score of Californians. The...Ch. 8.2 - Sample Size for Estimating Income. An economist...Ch. 8.2 - Weight of Quarters. You want to estimate the mean...Ch. 8.2 - Weights of Babies. A sample of 100 babies born at...Ch. 8.2 - Time to Graduation. Data from the National Center...Ch. 8.2 - Garbage Production. Based on a sample of 62...Ch. 8.2 - Weights of Bears. The health of the bear...Ch. 8.2 - Cotinine Levels of Smokers. When people smoke, the...Ch. 8.2 - Chocolate Chips. One of the authors of this text...Ch. 8.2 - Prob. 32ECh. 8.3 - Estimating a Population Proportion. Suppose you...Ch. 8.3 - Margin of Error and Confidence Interval. If you...Ch. 8.3 - 95% Confidence Interval. Once you have constructed...Ch. 8.3 - Sample Size. How can you determine an appropriate...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Confidence Interval. The Journal of the American...Ch. 8.3 - Margin of Error. In a study of 1228 randomly...Ch. 8.3 - Confidence Intervals in the Media. Here is a...Ch. 8.3 - Notation. In a Pew Research Center poll, 73% of...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Nielsen Ratings. Nielsen Media Research uses...Ch. 8.3 - Prob. 22ECh. 8.3 - Hazing of Athletes. A study done by researchers at...Ch. 8.3 - McDonalds Orders. In a study of the accuracy of...Ch. 8.3 - Prob. 25ECh. 8.3 - Global Warming. A Pew Research Center poll...Ch. 8.3 - Drugs in Movies. A study by Stanford University...Ch. 8.3 - Eliquis. The drug Eliquis is used to help prevent...Ch. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Opinion Poll. A poll finds that 54% of the...Ch. 8.3 - Concealed Weapons. Two-thirds (or 66.6%) of 626...Ch. 8 - One of Mendels famous genetics experiments yielded...Ch. 8 - We want to estimate the mean IQ score for the...Ch. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Assume that we want to estimate the mean annual...Ch. 8 - A random sample of 235 females and 240 males is...Ch. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - History Where Did Statistics Begin? The origins of...Ch. 8 - Prob. 2.1F
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