APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 2, Problem 71CE
You can test Excel’s algorithm for selecting random integers with a simple experiment. Enter =RANDBETWEEN(1,2) into cell A1 and then copy it to cells A1:E20. This creates a data block of 100 cells containing either a one or a two. In cell G1 type =COUNTIF(A1:E20,“=1”) and in cell G2 type =COUNTIF(A1:E20,“=2”). Highlight cells G1 and G2 and create a column chart. Click on the vertical axis scale and set the lower limit to 0 and upper limit to 100. Then hold down the F9 key and observe the chart. Are you convinced that, on average, you are getting about 50 ones and 50 twos? Ambitious Students: Generalize this experiment to integers 1 through 5.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
4. Linear Regression - Model Assumptions and Interpretation
A real estate analyst is studying how house prices (Y) are related to house size in square feet (X). A simple
linear regression model is proposed:
The analyst fits the model and obtains:
•
Ŷ50,000+150X
YBoB₁X + €
•
R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
Questions:
a) Interpret the slope coefficient in context.
b) Explain what the R² value tells us about the model's performance.
c) Based on the residual pattern, what regression assumption is likely violated? What might be the
consequence?
d) Suggest at least two remedies to improve the model, based on the residual analysis.
5. Probability Distributions – Continuous Random Variables
A factory machine produces metal rods whose lengths (in cm) follow a continuous uniform distribution on the interval [98, 102].
Questions:
a) Define the probability density function (PDF) of the rod length.b) Calculate the probability that a randomly selected rod is shorter than 99 cm.c) Determine the expected value and variance of rod lengths.d) If a sample of 25 rods is selected, what is the probability that their average length is between 99.5 cm and 100.5 cm? Justify your answer using the appropriate distribution.
Chapter 2 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 2.1 - What type of data (categorical, discrete...Ch. 2.1 - What type of data (categorical, discrete...Ch. 2.1 - What type of data (categorical, discrete...Ch. 2.1 - (a) Give three original examples of discrete data,...Ch. 2.1 - Which type of data (cross-sectional or time...Ch. 2.1 - Which type of data (cross-sectional or time...Ch. 2.1 - Prob. 7SECh. 2.1 - Give an original example of a time series variable...Ch. 2.2 - Which measurement level (nominal, ordinal,...Ch. 2.2 - Which measurement level (nominal, ordinal,...
Ch. 2.2 - Which measurement level (nominal, ordinal,...Ch. 2.2 - Prob. 12SECh. 2.2 - Prob. 13SECh. 2.2 - (a) Would the measurement level for the data...Ch. 2.3 - Would you use a sample or a census to measure each...Ch. 2.3 - Would you use a sample or a census to measure each...Ch. 2.3 - The target population is all stocks in the SP 500...Ch. 2.4 - The target population is all students in your...Ch. 2.4 - Suppose you want to know the ages of moviegoers...Ch. 2.4 - Suppose you want to study the number of e-mail...Ch. 2.4 - In Excel, type a list containing names for 10 of...Ch. 2.6 - What sources of error might you encounter if you...Ch. 2.6 - What kind of survey (mail, telephone, interview,...Ch. 2.6 - What kind of survey (mail, telephone, interview,...Ch. 2.6 - Prob. 27SECh. 2.6 - What problems are evident in the wording of these...Ch. 2 - Define (a) data, (b) data set (c) observation, and...Ch. 2 - How do business data differ from scientific...Ch. 2 - Distinguish (a) univariate, bivariate, and...Ch. 2 - Define the four measurement levels and give an...Ch. 2 - Prob. 5CRCh. 2 - (a) List three reasons why a census might be...Ch. 2 - Prob. 7CRCh. 2 - (a) List four methods of random sampling. (b) List...Ch. 2 - List five (a) steps in a survey, (b) issues in...Ch. 2 - Prob. 10CRCh. 2 - Prob. 29CECh. 2 - Prob. 30CECh. 2 - Prob. 31CECh. 2 - Which measurement level (nominal, ordinal,...Ch. 2 - Below are five questions from a survey of MBA...Ch. 2 - Below are five questions from a survey of MBA...Ch. 2 - Below are five questions from a survey of MBA...Ch. 2 - Prob. 36CECh. 2 - Identify the following data as either time series...Ch. 2 - Would you use a sample or a census to measure each...Ch. 2 - Would you use a sample or census to measure each...Ch. 2 - Is each of the following a parameter or a...Ch. 2 - Prob. 41CECh. 2 - Prob. 42CECh. 2 - Prob. 43CECh. 2 - Prob. 44CECh. 2 - The IRS estimates that the average taxpayer spent...Ch. 2 - The General Accounting Office conducted random...Ch. 2 - Arsenic (a naturally occurring, poisonous metal)...Ch. 2 - Prob. 48CECh. 2 - Would you expect Noodles Company to use a sample...Ch. 2 - A financial magazine publishes an annual list of...Ch. 2 - Examine each of the following statistics. Which...Ch. 2 - The National Claims History (NCH) contains records...Ch. 2 - Prior to starting a recycling program, a city...Ch. 2 - A university wanted to survey alumni about their...Ch. 2 - The U.S. Fisheries and Wildlife Service requires...Ch. 2 - Prob. 56CECh. 2 - Households can sign up for a telemarketing no-call...Ch. 2 - What level of measurement (nominal, ordinal,...Ch. 2 - Insurance companies are rated by several rating...Ch. 2 - A tabletop survey by a restaurant asked the...Ch. 2 - Give two original examples of (a) discrete data...Ch. 2 - Prob. 64CECh. 2 - Below are 64 names of employees at NilCo. Colors...Ch. 2 - From the display below, pick five cards (without...Ch. 2 - You can test Excels algorithm for selecting random...
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
- 2. Hypothesis Testing - Two Sample Means A nutritionist is investigating the effect of two different diet programs, A and B, on weight loss. Two independent samples of adults were randomly assigned to each diet for 12 weeks. The weight losses (in kg) are normally distributed. Sample A: n = 35, 4.8, s = 1.2 Sample B: n=40, 4.3, 8 = 1.0 Questions: a) State the null and alternative hypotheses to test whether there is a significant difference in mean weight loss between the two diet programs. b) Perform a hypothesis test at the 5% significance level and interpret the result. c) Compute a 95% confidence interval for the difference in means and interpret it. d) Discuss assumptions of this test and explain how violations of these assumptions could impact the results.arrow_forward1. Sampling Distribution and the Central Limit Theorem A company produces batteries with a mean lifetime of 300 hours and a standard deviation of 50 hours. The lifetimes are not normally distributed—they are right-skewed due to some batteries lasting unusually long. Suppose a quality control analyst selects a random sample of 64 batteries from a large production batch. Questions: a) Explain whether the distribution of sample means will be approximately normal. Justify your answer using the Central Limit Theorem. b) Compute the mean and standard deviation of the sampling distribution of the sample mean. c) What is the probability that the sample mean lifetime of the 64 batteries exceeds 310 hours? d) Discuss how the sample size affects the shape and variability of the sampling distribution.arrow_forwardA biologist is investigating the effect of potential plant hormones by treating 20 stem segments. At the end of the observation period he computes the following length averages: Compound X = 1.18 Compound Y = 1.17 Based on these mean values he concludes that there are no treatment differences. 1) Are you satisfied with his conclusion? Why or why not? 2) If he asked you for help in analyzing these data, what statistical method would you suggest that he use to come to a meaningful conclusion about his data and why? 3) Are there any other questions you would ask him regarding his experiment, data collection, and analysis methods?arrow_forward
- Businessarrow_forwardWhat is the solution and answer to question?arrow_forwardTo: [Boss's Name] From: Nathaniel D Sain Date: 4/5/2025 Subject: Decision Analysis for Business Scenario Introduction to the Business Scenario Our delivery services business has been experiencing steady growth, leading to an increased demand for faster and more efficient deliveries. To meet this demand, we must decide on the best strategy to expand our fleet. The three possible alternatives under consideration are purchasing new delivery vehicles, leasing vehicles, or partnering with third-party drivers. The decision must account for various external factors, including fuel price fluctuations, demand stability, and competition growth, which we categorize as the states of nature. Each alternative presents unique advantages and challenges, and our goal is to select the most viable option using a structured decision-making approach. Alternatives and States of Nature The three alternatives for fleet expansion were chosen based on their cost implications, operational efficiency, and…arrow_forward
- The following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forwardII Consider the following data matrix X: X1 X2 0.5 0.4 0.2 0.5 0.5 0.5 10.3 10 10.1 10.4 10.1 10.5 What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is indeed expected, i.e. why this clustering minimises the ESS map.arrow_forwardwhy the answer is 3 and 10?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY