Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 7.4, Problem 19AYU
Section 1
To determine
To calculate: The
Section 2
To determine
The normal distribution approximation for binomial distribution.
Section 3
To determine
To calculate: The value of probability of x by using normal distribution approximation.
Section 4
To determine
To compare: The result computed by using normal distribution for binomial distribution.
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 7 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 7.1 - 1. A ______ _____ ______ is an equation used to...Ch. 7.1 - Prob. 2AYUCh. 7.1 - Prob. 3AYUCh. 7.1 - Prob. 4AYUCh. 7.1 - 5. The points at x = ________ and x = ________ are...Ch. 7.1 - 6. The area under a normal curve can be...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - Prob. 10AYU
Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - Problems 13–16 use the information presented in...Ch. 7.1 - Prob. 14AYUCh. 7.1 - Prob. 15AYUCh. 7.1 - Prob. 16AYUCh. 7.1 - 17. Uniform Distribution The random-number...Ch. 7.1 - Prob. 18AYUCh. 7.1 - In Problems 19–22, determine whether or not the...Ch. 7.1 - Prob. 20AYUCh. 7.1 - In Problems 19–22, determine whether or not the...Ch. 7.1 - In Problems 19–22, determine whether or not the...Ch. 7.1 - 23. One graph in the figure on the following page...Ch. 7.1 - Prob. 24AYUCh. 7.1 - In Problems 25–28, the graph of a normal curve is...Ch. 7.1 - Prob. 26AYUCh. 7.1 - In Problems 25–28, the graph of a normal curve is...Ch. 7.1 - Prob. 28AYUCh. 7.1 - In Problems 29 and 30, draw a normal curve and...Ch. 7.1 - Prob. 30AYUCh. 7.1 - NW 31. You Explain It! Cell Phone Rates Monthly...Ch. 7.1 - Prob. 32AYUCh. 7.1 - 33. You Explain It! Birth Weights The birth...Ch. 7.1 - Prob. 34AYUCh. 7.1 - NW 35. You Explain It! Gestation Period The...Ch. 7.1 - Prob. 36AYUCh. 7.1 - Prob. 37AYUCh. 7.1 - 38. Heights of Five-Year-Old Females The following...Ch. 7.1 - Prob. 39AYUCh. 7.2 - 1. A random variable Z that is normally...Ch. 7.2 - 2. The notation zα is the z-score such that the...Ch. 7.2 - 3. If X is a normal random variable with mean 40...Ch. 7.2 - Prob. 4AYUCh. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - Prob. 6AYUCh. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - Prob. 10AYUCh. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - Prob. 12AYUCh. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - Prob. 14AYUCh. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - Prob. 18AYUCh. 7.2 - In Problems 19–22, find the value of zα.
NW 19....Ch. 7.2 - Prob. 20AYUCh. 7.2 - In Problems 19–22, find the value of zα.
21....Ch. 7.2 - Prob. 22AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - Prob. 26AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - Prob. 28AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - Prob. 30AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 33–36, assume that the random variable...Ch. 7.2 - Prob. 34AYUCh. 7.2 - In Problems 33–36, assume that the random variable...Ch. 7.2 - Prob. 36AYUCh. 7.2 - 37. Egg Incubation Times The mean incubation time...Ch. 7.2 - 38. Reading Rates The reading speed of sixth-grade...Ch. 7.2 - Prob. 39AYUCh. 7.2 - 40. Wendy's Drive-Through Fast-food restaurants...Ch. 7.2 - 41. Gestation Period The lengths of human...Ch. 7.2 - Prob. 42AYUCh. 7.2 - Prob. 43AYUCh. 7.2 - Prob. 44AYUCh. 7.2 - Prob. 45AYUCh. 7.2 - Prob. 46AYUCh. 7.2 - NW 47. Egg Incubation Times The mean incubation...Ch. 7.2 - Prob. 48AYUCh. 7.2 - Prob. 49AYUCh. 7.2 - Prob. 50AYUCh. 7.2 - Prob. 51AYUCh. 7.2 - Prob. 52AYUCh. 7.2 - 53. Give three interpretations for the area under...Ch. 7.2 - Prob. 54AYUCh. 7.2 - Prob. 55AYUCh. 7.2 - Prob. 56AYUCh. 7.3 - 1. A _______ _________ ______ is a graph that...Ch. 7.3 - Prob. 2AYUCh. 7.3 - In Problems 3–6, use the results in the table to...Ch. 7.3 - Prob. 4AYUCh. 7.3 - Prob. 5AYUCh. 7.3 - Prob. 6AYUCh. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - Prob. 11AYUCh. 7.3 - Prob. 12AYUCh. 7.3 - Prob. 13AYUCh. 7.4 - 1. In a binomial experiment with n trials and...Ch. 7.4 - 2. When adding or subtracting 0.5 from x, we are...Ch. 7.4 - Prob. 3AYUCh. 7.4 - Prob. 4AYUCh. 7.4 - Prob. 5AYUCh. 7.4 - Prob. 6AYUCh. 7.4 - Prob. 7AYUCh. 7.4 - Prob. 8AYUCh. 7.4 - In Problems 5–14, a discrete random variable is...Ch. 7.4 - Prob. 10AYUCh. 7.4 - Prob. 11AYUCh. 7.4 - Prob. 12AYUCh. 7.4 - Prob. 13AYUCh. 7.4 - Prob. 14AYUCh. 7.4 - Prob. 15AYUCh. 7.4 - Prob. 16AYUCh. 7.4 - Prob. 17AYUCh. 7.4 - Prob. 18AYUCh. 7.4 - In Problems 15–20, compute P(x) using the binomial...Ch. 7.4 - Prob. 20AYUCh. 7.4 - 21. On-Time Flights According to American...Ch. 7.4 - Prob. 22AYUCh. 7.4 - Prob. 23AYUCh. 7.4 - Prob. 24AYUCh. 7.4 - Prob. 25AYUCh. 7.4 - 26. Females Living at Home According to the...Ch. 7.4 - Prob. 27AYUCh. 7.4 - Prob. 28AYUCh. 7 - Prob. 1RECh. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - 4. Find the z-score such that the area to the...Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - In Problems 7–9, draw the normal curve with the...Ch. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 1CSCh. 7 - Prob. 2CS
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
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License