EP FUNDAMENTALS OF STAT.-MYLAB STAT.ACC
5th Edition
ISBN: 9780135960004
Author: Sullivan
Publisher: PEARSON CO
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Chapter 8, Problem 8CS
To determine
The measure of center is more appropriate based on the results of parts 6 and 7.
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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 8 Solutions
EP FUNDAMENTALS OF STAT.-MYLAB STAT.ACC
Ch. 8.1 - The _____ _____ of the sample mean, x, is the...Ch. 8.1 - Suppose a simple random sample of size n is drawn...Ch. 8.1 - The standard deviation of the sampling...Ch. 8.1 - True or False: The distribution of the sample...Ch. 8.1 - True or False: The distribution of the sample...Ch. 8.1 - True or False: To cut the standard error of the...Ch. 8.1 - A simple random sample of size n = 10 is obtained...Ch. 8.1 - A simple random sample of size n = 40 is obtained...Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - In Problems 912, determine x and x from the given...
Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - Answer the following questions for the sampling...Ch. 8.1 - Answer the following questions for the sampling...Ch. 8.1 - A simple random sample of size n = 49 is obtained...Ch. 8.1 - A simple random sample of size n = 36 is obtained...Ch. 8.1 - A simple random sample of size n = 12 is obtained...Ch. 8.1 - A simple random sample of size n = 20 is obtained...Ch. 8.1 - NW Gestation Period The length of human...Ch. 8.1 - Upper Leg Length The upper leg length of 20- to...Ch. 8.1 - Reading Rates The reading speed of second grade...Ch. 8.1 - Old Faithful The most famous geyser in the world....Ch. 8.1 - Rates of Return in Stocks The SP 500 is a...Ch. 8.1 - Winning Poker A very good poker player is expected...Ch. 8.1 - NW Oil Change The shape of the distribution of the...Ch. 8.1 - Time Spent in the Drive-Through The...Ch. 8.1 - Insect Fragments The Food and Drug Administration...Ch. 8.1 - Burger Kings Drive-Through Suppose that cars...Ch. 8.1 - Watching Television The amount of time Americans...Ch. 8.1 - ATM Withdrawals According to Crown ATM Network,...Ch. 8.1 - Sampling Distributions The following data...Ch. 8.1 - Sampling Distributions The following data...Ch. 8.1 - Putting It Together: Playing Roulette In the game...Ch. 8.1 - Explain what a sampling distribution is.Ch. 8.1 - State the Central Limit Theorem.Ch. 8.1 - We assume that we are obtaining simple random...Ch. 8.1 - Without doing any computation, decide which has a...Ch. 8.1 - For the three probability distributions shown,...Ch. 8.1 - Suppose Jack and Diane are each attempting to use...Ch. 8.1 - Sleepy Suppose you want to study the number of...Ch. 8.1 - Sleepy Again Suppose you want to study the number...Ch. 8.1 - Bull Markets A bull market is defined as a market...Ch. 8.2 - In a town of 500 households, 220 have a dog. The...Ch. 8.2 - The _____ _____, denoted p, is given by the...Ch. 8.2 - True or False: The population proportion and...Ch. 8.2 - True or False: The mean of the sampling...Ch. 8.2 - Describe the circumstances under which the shape...Ch. 8.2 - What happens to the standard deviation of p as the...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - A simple random sample of size n = 75 is obtained...Ch. 8.2 - A simple random sample of size n = 200 is obtained...Ch. 8.2 - Prob. 13AYUCh. 8.2 - A simple random sample of size n = 1460 is...Ch. 8.2 - Foreign Language According to a study done by...Ch. 8.2 - Are You Satisfied? According to a study done by...Ch. 8.2 - NW Marriage Obsolete? According to a study done by...Ch. 8.2 - Credit Cards According to creditcard.com, 29% of...Ch. 8.2 - Afraid to Fly According to a study conducted by...Ch. 8.2 - Having Children? The Pew Research Center recently...Ch. 8.2 - Election Prediction Exit polling is a popular...Ch. 8.2 - Acceptance Sampling A shipment of 50,000...Ch. 8.2 - Social Security Reform A researcher studying...Ch. 8.2 - Prob. 24AYUCh. 8.2 - Reincarnation Suppose 21% of all American teens...Ch. 8.2 - Assessments Consider the homeowners association...Ch. 8.2 - Airline Reservations In Chapter 6, We learned that...Ch. 8.2 - Finite Population Correction Factor In this...Ch. 8.2 - Fumbles The New England Patriots made headlines...Ch. 8 - In your own words, explain what a sampling...Ch. 8 - Prob. 2RECh. 8 - Under what conditions is the sampling distribution...Ch. 8 - Prob. 4RECh. 8 - Energy Need during Pregnancy The total energy need...Ch. 8 - Copper Tubing A machine at KA Tube Manufacturing...Ch. 8 - Number of Televisions Based on data obtained from...Ch. 8 - Entrepreneurship A Gallup survey indicated that...Ch. 8 - Advanced Degrees According to the U.S. Census...Ch. 8 - Variability in Baseball Suppose, during the course...Ch. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - The charge life of a certain lithium ion battery...Ch. 8 - A machine used for filling plastic bottles with a...Ch. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Using statistical software, generate 250 samples...Ch. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Prob. 5CSCh. 8 - Prob. 6CSCh. 8 - Prob. 7CSCh. 8 - Prob. 8CSCh. 8 - Prob. 9CSCh. 8 - Prob. 10CSCh. 8 - Prob. 11CSCh. 8 - Prob. 12CSCh. 8 - Repeat parts 11 and 12 for samples of size 20...Ch. 8 - Prob. 14CSCh. 8 - How do the averages of your sample means compare...Ch. 8 - Prob. 16CSCh. 8 - Prob. 17CSCh. 8 - Construct histograms for each column of summary...Ch. 8 - Prob. 19CS
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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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