Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 8.2, Problem 18P
(i)
To determine
Check the sample mean by using the calculator.
Check the sample standard deviation by using the calculator.
(ii)
To determine
(a)
Find the level of significance.
State the null and alternative hypothesis.
(b)
Identify the sampling distribution to be used.
Explain how the sampling distribution is chosen.
Find the sampling distribution value of the sample test statistic.
(c)
Find the P-value.
Draw the sampling distribution by showing the area corresponding to the P-value.
(d)
Check whether the null hypothesis is rejecting or fail to reject.
Identify whether the data statistically significant at level 0.01 or not.
(e)
Interpret the conclusion in the context of the application.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
ons
12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
ian income of $50,000.
erty rate of
13. Using data from 50 workers, a researcher estimates Wage =
Bo+B,Education + B₂Experience + B3Age+e, where Wage
is the hourly wage rate and Education, Experience, and Age
are the years of higher education, the years of experience, and
the age of the worker, respectively. A portion of the regression
results is shown in the following table. ni ogolloo bash
1
Standard
Coefficients error
t stat p-value
Intercept
7.87
4.09
1.93
0.0603
Education
1.44
0.34
4.24 0.0001
Experience
0.45
0.14
3.16
0.0028
Age
-0.01
0.08 -0.14 0.8920
a. Interpret the estimated coefficients for Education and
Experience.
b. Predict the hourly wage rate for a 30-year-old worker
with four years of higher education and three years of
experience.
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
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
- 1. If a firm spends more on advertising, is it likely to increase sales? Data on annual sales (in $100,000s) and advertising expenditures (in $10,000s) were collected for 20 firms in order to estimate the model Sales = Po + B₁Advertising + ε. A portion of the regression results is shown in the accompanying table. Intercept Advertising Standard Coefficients Error t Stat p-value -7.42 1.46 -5.09 7.66E-05 0.42 0.05 8.70 7.26E-08 a. Interpret the estimated slope coefficient. b. What is the sample regression equation? C. Predict the sales for a firm that spends $500,000 annually on advertising.arrow_forwardCan you help me solve problem 38 with steps im stuck.arrow_forwardHow do the samples hold up to the efficiency test? What percentages of the samples pass or fail the test? What would be the likelihood of having the following specific number of efficiency test failures in the next 300 processors tested? 1 failures, 5 failures, 10 failures and 20 failures.arrow_forward
- The battery temperatures are a major concern for us. Can you analyze and describe the sample data? What are the average and median temperatures? How much variability is there in the temperatures? Is there anything that stands out? Our engineers’ assumption is that the temperature data is normally distributed. If that is the case, what would be the likelihood that the Safety Zone temperature will exceed 5.15 degrees? What is the probability that the Safety Zone temperature will be less than 4.65 degrees? What is the actual percentage of samples that exceed 5.25 degrees or are less than 4.75 degrees? Is the manufacturing process producing units with stable Safety Zone temperatures? Can you check if there are any apparent changes in the temperature pattern? Are there any outliers? A closer look at the Z-scores should help you in this regard.arrow_forwardNeed help pleasearrow_forwardPlease conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. 4. One-Way ANOVA: Analyze the customer satisfaction scores across four different product categories to determine if there is a significant difference in means. (Hints: The null can be about maintaining status-quo or no difference among groups) H0 = H1=arrow_forward
- Please conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points 2. Two-Sample T-Test: Compare the average sales revenue of two different regions to determine if there is a significant difference. (Hints: The null can be about maintaining status-quo or no difference among groups; if alternative hypothesis is non-directional use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null) H0 = H1=arrow_forwardPlease conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points 3. Paired T-Test: A company implemented a training program to improve employee performance. To evaluate the effectiveness of the program, the company recorded the test scores of 25 employees before and after the training. Determine if the training program is effective in terms of scores of participants before and after the training. (Hints: The null can be about maintaining status-quo or no difference among groups; if alternative hypothesis is non-directional, use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting the null) H0 = H1= Conclusion:arrow_forwardPlease conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. The data for the following questions is provided in Microsoft Excel file on 4 separate sheets. Please conduct these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to…arrow_forward
- Please conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null. If alternative is directional (e.g., μ < 75), you should use the lower-tailed p-value. For alternative hypothesis μ > 75, you should use the upper-tailed p-value.) H0 = H1= Conclusion: The p value from one sample t-test is _______. Since the two-tailed p-value is _______ 2. Two-Sample T-Test:…arrow_forwardPlease conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. What is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not…arrow_forwardThe data for the following questions is provided in Microsoft Excel file on 4 separate sheets. Please conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. What is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you…arrow_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
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License