bartleby

Videos

Question
Book Icon
Chapter 3.2, Problem 13P

a.

To determine

Find the range.

a.

Expert Solution
Check Mark

Answer to Problem 13P

The range is 15.

Explanation of Solution

The range is obtained below:

Range=Largest valueSmallest value=3015=15

Thus, the range is 15.

b.

To determine

Verify that x=110 and x2=2568 using calculator.

b.

Expert Solution
Check Mark

Explanation of Solution

Step-by-step procedure to verify x=110 and x2=2568 using Ti83 calculator:

  • Press STAT.
  • Select Edit.
  • Enter the values in L1.
  • Press STAT and Choose CALC.
  • Select 1-Var Stats.
  • To select the variable L1, Press 2-nd and then press 1.
  • Press Enter.

Output obtained using the Ti83 calculator is given below:

Bundle: Understandable Statistics, Loose-leaf Version, 12th + WebAssign Printed Access Card for Brase/Brase's Understandable Statistics: Concepts and Methods, 12th Edition, Single-Term, Chapter 3.2, Problem 13P

From the output, the values of x=110 and x2=2,568.

c.

To determine

Find the sample variance and the sample standard deviation using the computation formula.

c.

Expert Solution
Check Mark

Answer to Problem 13P

The sample variance using the computation formula is 37.

The sample standard deviation using the computation formula is 6.08.

Explanation of Solution

The sample variance using the computation formula is given below:

s2=x2(x)2nn1

Where x¯ is the mean, n is the number of values in the data, and x is the value in the data.

The sample standard deviation using the computation formula is given below:

s=x2(x)2nn1

Where x¯ is the mean, n is the number of values in the data, and x is the value in the data.

The sample variance using the computation formula is obtained below:

s2=2,568(110)2551=37

Thus, the sample variance using the computation formula is 37.

The sample standard deviation using the computation formula is obtained below:

s=2,568(110)2551=37=6.08

Thus, the sample standard deviation using the computation formula is 6.08.

d.

To determine

Find the sample variance using the defining formula.

Find the sample standard deviation using the defining formula.

d.

Expert Solution
Check Mark

Answer to Problem 13P

The sample variance using the defining formula is 37.

The sample standard deviation using the defining formula is 6.08.

Explanation of Solution

The sample variance using the defining formula is given below:

s2=(xx¯)2n1

Where x¯ is the mean, n is the number of values in the data, and x is the value in the data.

The sample standard deviation using the defining formula is given below:

s=(xx¯)2n1

Where x¯ is the mean, n is the number of values in the data, and x is the value in the data.

The value of x¯ is obtained below:

x¯=xn=23+17+15+30+255=22

The value of (xx¯)2 is obtained below:

xxx¯(xx¯)2
2311
17–525
15–749
30864
2539
(xx¯)2=148

The sample variance using the defining formula is given below:

s2=14851=1484=37

Thus, the sample variance using the defining formula is 37.

The sample standard deviation using the defining formula is given below:

s=14851=1484=6.08

Thus, the sample standard deviation using the defining formula is 6.08.

e.

To determine

Find the population variance using the defining formula.

Find the population standard deviation using the defining formula.

e.

Expert Solution
Check Mark

Answer to Problem 13P

The population variance using the defining formula is 29.6.

The population standard deviation using the defining formula is 5.44.

Explanation of Solution

The population variance using the defining formula is given below:

σ2=(xμ)2n

Where μ is the population mean, N is the number of values in the population, and x is the value in the data.

The population standard deviation using the defining formula is given below:

σ=(xμ)2N

Where μ is the population mean, N is the number of values in the population, and x is the value in the data.

The value of μ is obtained below:

μ=xN=23+17+15+30+255=22

The value of (xμ)2 is obtained below:

xxμ(xμ)2
2311
17–525
15–749
30864
2539
(xμ)2=148

The population variance using the defining formula is given below:

σ2=1485=29.6

Thus, the population variance using the defining formula is 29.6.

The population standard deviation using the defining formula is given below:

σ=1485=5.44

Thus, the population standard deviation using the defining formula is 5.44.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent. A. false: all observations must be independent B. true C. false: only observations with the same outcome need to be independent I ANSWERED: A. false: all observations must be independent.  (This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:   Estimate SE Z Pr(>|Z|) (Intercept) -0.8161 0.086 -9.4895 0 to_multiple -2.5651 0.3052 -8.4047 0 winner 1.5801 0.3156 5.0067 0 format -0.1528 0.1136 -1.3451 0.1786 re_subj -2.8401 0.363 -7.824 0 (a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple  + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…

Chapter 3 Solutions

Bundle: Understandable Statistics, Loose-leaf Version, 12th + WebAssign Printed Access Card for Brase/Brase's Understandable Statistics: Concepts and Methods, 12th Edition, Single-Term

Ch. 3.1 - Critical Thinking When a distribution is...Ch. 3.1 - Critical Thinking Consider the following types of...Ch. 3.1 - Critical Thinking Consider the numbers 2 3 4 5 5...Ch. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - Critical Thinking Consider a data set of 15...Ch. 3.1 - Prob. 19PCh. 3.1 - Prob. 20PCh. 3.1 - Prob. 21PCh. 3.1 - Football: Age of Professional Players How old are...Ch. 3.1 - Prob. 23PCh. 3.1 - Prob. 24PCh. 3.1 - Prob. 25PCh. 3.1 - Prob. 26PCh. 3.1 - Prob. 27PCh. 3.1 - Prob. 28PCh. 3.1 - Expand Your Knowledge: Harmonic Mean When data...Ch. 3.1 - Prob. 30PCh. 3.2 - Statistical Literacy Which averagemean, median, or...Ch. 3.2 - Statistical Literacy What is the relationship...Ch. 3.2 - Statistical Literacy When computing the standard...Ch. 3.2 - Prob. 4PCh. 3.2 - Prob. 5PCh. 3.2 - Basic Computation: Range, Standard Deviation...Ch. 3.2 - Critical Thinking For a given data set in which...Ch. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10PCh. 3.2 - Prob. 11PCh. 3.2 - Critical Thinking: Outliers One indicator of an...Ch. 3.2 - Prob. 13PCh. 3.2 - Basic Computation: Coefficient of Variation,...Ch. 3.2 - Prob. 15PCh. 3.2 - Prob. 16PCh. 3.2 - Space Shuttle: Epoxy Kevlar epoxy is a material...Ch. 3.2 - Prob. 18PCh. 3.2 - Prob. 19PCh. 3.2 - Prob. 20PCh. 3.2 - Prob. 21PCh. 3.2 - Prob. 22PCh. 3.2 - Prob. 23PCh. 3.2 - Prob. 24PCh. 3.2 - Prob. 25PCh. 3.2 - Prob. 26PCh. 3.2 - Brain Teaser: Sum of Squares If you like...Ch. 3.2 - Prob. 28PCh. 3.2 - Prob. 29PCh. 3.2 - Prob. 30PCh. 3.3 - Statistical Literacy Angela took a general...Ch. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Basic Computation: Five-Number Summary,...Ch. 3.3 - Health Care: Nurses At Center Hospital there is...Ch. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Sociology: High School Dropouts What percentage of...Ch. 3.3 - Auto Insurance: Interpret Graphs Consumer Reports...Ch. 3.3 - Prob. 12PCh. 3 - Prob. 1CRPCh. 3 - Critical Thinking Look at the two histograms...Ch. 3 - Critical Thinking Consider the following Minitab...Ch. 3 - Prob. 4CRPCh. 3 - Political Science: Georgia Democrats How...Ch. 3 - Grades: Weighted Average Professor Cramer...Ch. 3 - Prob. 7CRPCh. 3 - Agriculture: Harvest Weight of Maize The following...Ch. 3 - Prob. 9CRPCh. 3 - Agriculture: Bell Peppers The pathogen...Ch. 3 - Performance Rating: Weighted Average A performance...Ch. 3 - Prob. 1DHCh. 3 - Prob. 2DHCh. 3 - Prob. 1UTCh. 3 - Prob. 1CURPCh. 3 - Describe how the presence of possible outliers...Ch. 3 - Prob. 3CURPCh. 3 - Prob. 4CURPCh. 3 - Prob. 5CURPCh. 3 - Prob. 6CURPCh. 3 - Prob. 7CURPCh. 3 - In west Texas, water is extremely important. The...Ch. 3 - Prob. 9CURPCh. 3 - Prob. 10CURPCh. 3 - Prob. 11CURPCh. 3 - In west Texas, water is extremely important. The...Ch. 3 - Prob. 13CURPCh. 3 - Prob. 14CURPCh. 3 - Prob. 15CURPCh. 3 - In west Texas, water is extremely important. The...Ch. 3 - Prob. 17CURP
Knowledge Booster
Background pattern image
Statistics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License