
Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134494043
Author: Jeff Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 8, Problem 3CRE
a.
To determine
Obtain the 95% confidence interval.
b.
To determine
Find the margin of error.
c.
To determine
Interpret the 95% confidence interval obtained in part (a).
d.
To determine
Obtain the number of subjects needed to be included to obtain the 95% confidence interval with the margin of error at most 10.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Proof of this Theorem
Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and
set Var X = o². Then, for 0 0,
P(X > x) ≤ e−1x+1²²,
P(|X|> x) ≤ 2e−x+1² 0²
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- State and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"arrow_forward(iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.arrow_forward5. State space models Consider the model T₁ = Tt−1 + €t S₁ = 0.8S-4+ Nt Y₁ = T₁ + S₁ + V₂ where (+) Y₁,..., Y. ~ WN(0,σ²), nt ~ WN(0,σ2), and (V) ~ WN(0,0). We observe data a. Write the model in the standard (matrix) form of a linear Gaussian state space model. b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value? c. Does lim∞ Var(T₁ — Ît\n) exist? If so, what is its value?arrow_forward
- Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 203.8 ft and standard deviation 43.8 ft. You intend to measure a random sample of n = 211trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis (each tick mark) is one standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. Image attached. I filled in the yellow boxes and am not sure why they are wrong. There are 3 yellow boxes filled in with values 206.82; 209.84; 212.86.arrow_forwardCould you please answer this question using excel.Thanksarrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forward
- Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 Row 2 13 149 25 36 41 60 62 78 S 205 122 195 173 133 197 24 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r=0.164 (Round to three decimal places as needed.) S 24arrow_forwardThe number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 47.109x+18,628.54. Complete parts a and b. 455 679 499 496 378 68 157 58 200 17,942|29,215 43,338 30,221 67,266 67,461 22,066 11,190 30,707| 27,569 Issues, x Proceeds, 421 y (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.)arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forward
- Use the accompanying Grade Point Averages data to find 80%,85%, and 99%confidence intervals for the mean GPA. view the Grade Point Averages data. Gender College GPAFemale Arts and Sciences 3.21Male Engineering 3.87Female Health Science 3.85Male Engineering 3.20Female Nursing 3.40Male Engineering 3.01Female Nursing 3.48Female Nursing 3.26Female Arts and Sciences 3.50Male Engineering 3.00Female Arts and Sciences 3.13Female Nursing 3.34Female Nursing 3.67Female Education 3.45Female Engineering 3.17Female Health Science 3.28Female Nursing 3.25Male Engineering 3.72Female Arts and Sciences 2.68Female Nursing 3.40Female Health Science 3.76Female Arts and Sciences 3.72Female Education 3.44Female Arts and Sciences 3.61Female Education 3.29Female Nursing 3.20Female Education 3.80Female Business 3.26Male…arrow_forwardBusiness Discussarrow_forwardCould you please answer this question using excel. For 1a) I got 84.75 and for part 1b) I got 85.33 and was wondering if you could check if my answers were correct. Thanksarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License