Bluman, Elementary Statistics: A Step By Step Approach, © 2015, 9e, Student Edition (reinforced Binding) (a/p Statistics)
Bluman, Elementary Statistics: A Step By Step Approach, © 2015, 9e, Student Edition (reinforced Binding) (a/p Statistics)
9th Edition
ISBN: 9780021418251
Author: Allan G. Bluman
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 14.2, Problem 1AC

1.

To determine

To explain: The public smoking ban affected restaurant business in Derry, Pennsylvania.

2.

To determine

To explain: The reason for the survey reported conflicting results.

3.

To determine

To check: Whether the survey based on anecdotal responses be allowed to be published or not.

4.

To determine

To explain: The sample is representative of a population and still offers misleading information.

5.

To determine

To explain: The criticality of the measurement error in survey sampling.

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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 14 Solutions

Bluman, Elementary Statistics: A Step By Step Approach, © 2015, 9e, Student Edition (reinforced Binding) (a/p Statistics)

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