Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 13, Problem 44CRE
a .
To determine
Determine whether the appropriate test is a paired
b .
To determine
Determine whether the appropriate test is a paired
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You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below. please do it step by step
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear…
Exercises: Find all the whole number
solutions of the congruence equation.
1. 3x 8 mod 11
2. 2x+3= 8 mod 12
3. 3x+12= 7 mod 10
4. 4x+6= 5 mod 8
5. 5x+3= 8 mod 12
Scenario
Sales of products by color follow a peculiar, but predictable, pattern that determines how many units will sell in
any given year. This pattern is shown below
Product Color
1995
1996
1997
Red
28
42
21
1998
23
1999
29
2000
2001
2002
Unit Sales
2003 2004
15
8
4
2
1
2005 2006
discontinued
Green
26
39
20
22
28
14
7
4
2
White
43
65
33
36
45
23
12
Brown
58
87
44
48
60
Yellow
37
56
28
31
Black
28
42
21
Orange
19
29
Purple
Total
28
42
21
49
68
78
95
123
176
181
164
127
24
179
Questions
A) Which color will sell the most units in 2007?
B) Which color will sell the most units combined in the 2007 to 2009 period?
Please show all your analysis, leave formulas in cells, and specify any assumptions you make.
Chapter 13 Solutions
Introductory Statistics
Ch. 13 - What is the fundamental condition required for...Ch. 13 - In what situations are nonparametric statistics...Ch. 13 - In addition to random samples, what other...Ch. 13 - What summary statistics are best used to report...Ch. 13 - Prob. 5SECh. 13 - Prob. 6SECh. 13 - Prob. 7SECh. 13 - Log Transforms a. Find the log (base 10) of each...Ch. 13 - Prob. 9SECh. 13 - Prob. 10SE
Ch. 13 - Prob. 11SECh. 13 - Morning Routine A statistics student conducted a...Ch. 13 - Exercise Hours A statistics student was interested...Ch. 13 - Television Viewing A Nielsen poll asked people the...Ch. 13 - Lead Exposure (Example 3) Excessive lead levels...Ch. 13 - Juvenile Delinquents Dr. Kirkland R. Gable (in...Ch. 13 - The Stroop Effect Suppose you had to identify the...Ch. 13 - Reading Material on Colored Paper In the past,...Ch. 13 - Males’ Pulse Rates Students in a statistics class...Ch. 13 - Females’ Pulse Rates Refer to exercise 13.19. This...Ch. 13 - Ages of Brides and Grooms A random sample of the...Ch. 13 - Textbook Prices A student was interested in...Ch. 13 - Meat-Eating Behavior (Example 4) A researcher was...Ch. 13 - Credit Card Debt A statistics student who was...Ch. 13 - Prob. 25SECh. 13 - Sleep Typically, do men and women sleep different...Ch. 13 - Cell Phone Bills Cell phone bills (rounded to the...Ch. 13 - Weights of Athletes Data were collected on the...Ch. 13 - Happiness A StatCrunch survey of happiness...Ch. 13 - Soda A StatCrunch survey was done asking what...Ch. 13 - Sports and Extraversion (Example 5) Are students...Ch. 13 - Happiness Are women happier than men? A StatCrunch...Ch. 13 - College Students and Credit Card Debt In exercise...Ch. 13 - Soda Does soda constitute a larger part of the...Ch. 13 - Rainfall In a well-known study on the effects of...Ch. 13 - Rainfall Refer to exercise 13.35, which discussed...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Prob. 39CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Prob. 41CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Prob. 43CRECh. 13 - Prob. 44CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Ice Cream Cones McDonald’s claims that its ice...Ch. 13 - Average Body Temperatures Many people believe that...Ch. 13 - Contacting Mom Random samples of 30 professors of...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - Geometric Mean The dotplot shows the number of...Ch. 13 - Looking at the data about contacting mom (exercise...Ch. 13 - Resampling Moms We performed a randomization test...Ch. 13 - Prob. 58CRECh. 13 - Prob. 59CRECh. 13 - Prob. 60CRE
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- One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs \[36\] \[20\] \[56\] Prefers cats \[10\] \[26\] \[36\] No preference \[2\] \[6\] \[8\] TOTAL \[48\] \[52\] \[100\] problem 1 Find the probability that a randomly selected student prefers dogs.Enter your answer as a fraction or decimal. \[P\left(\text{prefers dogs}\right)=\] Incorrect Check Hide explanation Preference Male Female TOTAL Prefers dogs \[\blueD{36}\] \[\blueD{20}\] \[\blueE{56}\] Prefers cats \[10\] \[26\] \[36\] No preference \[2\] \[6\] \[8\] TOTAL \[48\] \[52\] \[100\] There were \[\blueE{56}\] students in the sample who preferred dogs out of \[100\] total students.arrow_forwardBusiness discussarrow_forwardYou have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below. Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size). Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model. Interpret the…arrow_forward
- Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots. Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Value of correlation coefficient: Direction of the relationship (positive, negative, or zero relationship): Strength of the relationship (strong/moderate/weak): Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
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