Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 8.5, Problem 37P
To determine
Check whether the null hypothesis is rejecting or fail to reject by using the critical region method.
Compare the conclusion of critical value method with the P-value method.
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5. A study assessed the lung destructive index among smokers and non-smokers provided
the following data:
X1 - 14 5 "1 =10
n-10
Sp= 1.50
Smokers:
%3D
X2-12.5
n2 8
a = ,01
%3D
Non-Smokers:
From the available data, can we conclude that smokers have greater lung damage than
non-smokers?
You may need to use the appropriate technology to answer this question.
We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations.
ý = 62.480 – 1.838x + 25.660X2
SSE = 745; SSR = 596
The model was also estimated including the 3 variables. The results are:
ŷ=
Ỹ = 59.220 – 1.766xq + 25.635X, + 16.239Xg + 15.296x4 – 18.729X,
SSE = 540; SSR = 801
(a) State the null and alternative hypotheses.
O
Ho:
One or more of the parameters is not equal to zero.
H₂: B3 = P4=B5
O Ho: P₁ = P₂ = B3 = P4=B5 = 0
H₂: One or more of the parameters is not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
H₂: B₁ = B₂ = B3 =B4 =B5 = 0
Ho: B3 = P4 = B ₁ = 0
H₂: One or more of the parameters is not equal to zero.
(b) Test the null hypothesis at the 5% level of significance.
Find the value of the test statistic. (Round your answer to two decimal places.)
2.53
X
Find the…
You may need to use the appropriate technology to answer this question.
We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations.
y = 62.480
1.838x₁ + 25.660x₂
-
SSE = 745; SSR = 596
The model was also estimated including the 3 variables. The results are:
ŷ
ý = 59.220 – 1.766x + 25.635X, + 16.239Xg + 15.296X4 – 18.729x5
SSE = 540; SSR = 801
(a) State the null and alternative hypotheses.
O
Ho:
One or more of the parameters is not equal to zero.
H₂: B3 = P4=B5
O Ho: B₁ = B₂= B3 =B4=B5=
H₂: One or more of the parameters is not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
H₂: B₁ = B₂= B3 = P4 = B 5 = 0
ⒸH₁: B3 =B4 = ß5 = 0
H₂: One or more of the parameters is not equal to zero.
✓
(b) Test the null hypothesis at the 5% level of significance.
Find the value of the test statistic. (Round your answer to two decimal places.)
5.64
X
Find the…
Chapter 8 Solutions
Understandable Statistics: Concepts and Methods
Ch. 8.1 - Statistical Literacy Discuss each of the following...Ch. 8.1 - Statistical Literacy In a statistical test, we...Ch. 8.1 - Statistical Literacy If we fail to reject (i.e.,...Ch. 8.1 - Statistical Literacy If we reject the null...Ch. 8.1 - Statistical Literacy What terminology do we use...Ch. 8.1 - Prob. 6PCh. 8.1 - Statistical Literacy If the P-value in a...Ch. 8.1 - Statistical Literacy If the P-value in a...Ch. 8.1 - Statistical Literacy Suppose the P-value in a...Ch. 8.1 - Statistical Literacy Suppose the P-value in a...
Ch. 8.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 8.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 8.1 - Basic Computation: Find Test Statistic,...Ch. 8.1 - Basic Computation: Find the Test Statistic,...Ch. 8.1 - Veterinary Science: Colts The body weight of a...Ch. 8.1 - Marketing: Shopping Time How much customers buy is...Ch. 8.1 - Meteorology: Storms Weatherwise magazine is...Ch. 8.1 - Chrysler Concorde: Acceleration Consumer Reports...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - Prob. 23PCh. 8.1 - Prob. 24PCh. 8.2 - Statistical Literacy For the same sample data and...Ch. 8.2 - Statistical Literacy To test for an x...Ch. 8.2 - Statistical Literacy When using the Students t...Ch. 8.2 - Critical Thinking Consider a test for . If the...Ch. 8.2 - Critical Thinking Consider a test for . If the...Ch. 8.2 - Critical Thinking If sample data is such that for...Ch. 8.2 - Basic Computation: P-value Corresponding to t...Ch. 8.2 - Basic Computation: P-value Corresponding to t...Ch. 8.2 - Basic Computation: Testing , Unknown A random...Ch. 8.2 - Basic Computation: Testing , Unknown A random...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 16PCh. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 18PCh. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - Critical Thinking: One-Tailed versus Two-Tailed...Ch. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.3 - Statistical Literacy To use the normal...Ch. 8.3 - Statistical Literacy Consider a binomial...Ch. 8.3 - Prob. 3PCh. 8.3 - Critical Thinking An article in a newspaper states...Ch. 8.3 - Basic Computation: Testing p A random sample of 30...Ch. 8.3 - Basic Computation: Testing p A random sample of 60...Ch. 8.3 - Prob. 7PCh. 8.3 - Prob. 8PCh. 8.3 - Prob. 9PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 11PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 14PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 16PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 18PCh. 8.3 - Prob. 19PCh. 8.3 - Prob. 20PCh. 8.3 - Prob. 21PCh. 8.3 - Prob. 22PCh. 8.3 - Critical Region Method: Testing Proportions Solve...Ch. 8.3 - Prob. 24PCh. 8.4 - Prob. 1PCh. 8.4 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Basic Computation: Paired Differences Test For a...Ch. 8.4 - Prob. 9PCh. 8.4 - Prob. 10PCh. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - Prob. 13PCh. 8.4 - Prob. 14PCh. 8.4 - Prob. 15PCh. 8.4 - Prob. 16PCh. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.4 - Prob. 20PCh. 8.4 - Prob. 21PCh. 8.4 - Expand Your Knowledge: Confidence Intervals for d...Ch. 8.4 - Prob. 23PCh. 8.4 - Prob. 24PCh. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Prob. 2PCh. 8.5 - Prob. 3PCh. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Critical Thinking Consider use of a Students t...Ch. 8.5 - Critical Thinking When conducting a test for the...Ch. 8.5 - Critical Thinking When conducting a test for the...Ch. 8.5 - Basic Computation: Testing 1 2 A random sample of...Ch. 8.5 - Basic Computation: Testing 1 2 Two populations...Ch. 8.5 - Basic Computation: Testing 1 2 A random sample of...Ch. 8.5 - Basic Computation: Testing 1 2 Two populations...Ch. 8.5 - Prob. 13PCh. 8.5 - Prob. 14PCh. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 21PCh. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 23PCh. 8.5 - Prob. 24PCh. 8.5 - Prob. 25PCh. 8.5 - Prob. 26PCh. 8.5 - Prob. 27PCh. 8.5 - Prob. 28PCh. 8.5 - Prob. 29PCh. 8.5 - Prob. 30PCh. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 32PCh. 8.5 - Prob. 33PCh. 8.5 - Prob. 34PCh. 8.5 - Prob. 35PCh. 8.5 - Prob. 36PCh. 8.5 - Prob. 37PCh. 8.5 - Prob. 38PCh. 8 - Prob. 1CRPCh. 8 - Prob. 2CRPCh. 8 - Critical Thinking All other conditions being...Ch. 8 - Prob. 4CRPCh. 8 - Before you solve each problem below, first...Ch. 8 - Prob. 6CRPCh. 8 - Prob. 7CRPCh. 8 - Prob. 8CRPCh. 8 - Prob. 9CRPCh. 8 - Prob. 10CRPCh. 8 - Prob. 11CRPCh. 8 - Prob. 12CRPCh. 8 - Prob. 13CRPCh. 8 - Prob. 14CRPCh. 8 - Before you solve each problem below, first...Ch. 8 - Prob. 16CRPCh. 8 - Prob. 17CRPCh. 8 - Prob. 18CRPCh. 8 - Discuss each of the following topics in class or...Ch. 8 - Prob. 2LCCh. 8 - Prob. 3LCCh. 8 - Prob. 4LCCh. 8 - Prob. 5LC
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