Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 6, Problem 95CP
a.
To determine
Calculate the standard deviation when each team has 50% chance of winning.
b.
To determine
Check whether the standard deviation when a team has 99% chance of winning each game is smaller or larger than the standard deviation obtained in Part (a).
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Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Chapter 6 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 6.1 - Rolling dice a. State in a table the probability...Ch. 6.1 - Dental Insurance You plan to purchase dental...Ch. 6.1 - San Francisco Giants hitting The table shows the...Ch. 6.1 - Best of three In a best out of three series played...Ch. 6.1 - Grade distribution An instructor always assigns...Ch. 6.1 - Selling houses Let X represent the number of homes...Ch. 6.1 - Playing the lottery The state of Ohio has several...Ch. 6.1 - Roulette A roulette wheel consists of 38 numbers,...Ch. 6.1 - More Roulette The previous exercise on roulette...Ch. 6.1 - Prob. 10PB
Ch. 6.1 - Profit and the weather From past experience, a...Ch. 6.1 - Buying on eBay You are watching two items posted...Ch. 6.1 - Selling at the right price Some companies, such as...Ch. 6.1 - Uniform distribution A random number generator is...Ch. 6.1 - TV watching A social scientist uses the General...Ch. 6.2 - Probabilities in tails For a normal distribution,...Ch. 6.2 - Probability in graph For the normal distributions...Ch. 6.2 - Empirical rule Verify the empirical rule by using...Ch. 6.2 - Central probabilities For a normal distribution,...Ch. 6.2 - z-score for given probability in tails For a...Ch. 6.2 - Probability in tails for given z-score For a...Ch. 6.2 - z-score for right-tail probability a. For the...Ch. 6.2 - Prob. 23PBCh. 6.2 - Prob. 24PBCh. 6.2 - Prob. 25PBCh. 6.2 - Coffee Machine Suppose your favorite coffee...Ch. 6.2 - Energy use An energy study in Gainesville,...Ch. 6.2 - Birth weight for boys In the United States, the...Ch. 6.2 - MDI The Mental Development Index (MDI) of the...Ch. 6.2 - Quartiles and outliers Refer to the previous...Ch. 6.2 - April precipitation Over roughly the past 100...Ch. 6.2 - Tall enough to ride? A new roller coaster at an...Ch. 6.2 - SAT versus ACT SAT math scores follow a normal...Ch. 6.2 - Relative height Refer to the normal distributions...Ch. 6.3 - Kidney transplants In kidney transplantations,...Ch. 6.3 - Compatible donors Refer to the previous exercise....Ch. 6.3 - Symmetric binomial Construct a graph similar to...Ch. 6.3 - Number of girls in a family Each newborn baby has...Ch. 6.3 - Prob. 39PBCh. 6.3 - Prob. 40PBCh. 6.3 - Passing by guessing A quiz in a statistics course...Ch. 6.3 - NBA shooting In the National Basketball...Ch. 6.3 - Season performance Refer to the previous exercise....Ch. 6.3 - Is the die balanced? A balanced die with six sides...Ch. 6.3 - Prob. 45PBCh. 6.3 - Prob. 46PBCh. 6.3 - Prob. 47PBCh. 6.3 - Checking guidelines For Example 13 on the gender...Ch. 6.3 - Class sample Four of the 20 students (20%) in a...Ch. 6.3 - Prob. 50PBCh. 6.3 - Binomial assumptions For the following random...Ch. 6 - Grandparents Let X = the number of living...Ch. 6 - Straight or boxed? Consider a Pick-3 lottery such...Ch. 6 - Auctioning paintings A collector is interested in...Ch. 6 - Prob. 55CPCh. 6 - Are you risk averse? You need to choose between...Ch. 6 - Flyers insurance An insurance company sells a...Ch. 6 - Normal probabilities For a normal distribution,...Ch. 6 - Prob. 59CPCh. 6 - Prob. 60CPCh. 6 - Quartiles If z is the positive number such that...Ch. 6 - Boys and girls birth weight Exercise 6.28...Ch. 6 - Cholesterol The American Heart Association reports...Ch. 6 - Female heights Female heights in North America...Ch. 6 - Cloning butterflies The wingspans of recently...Ch. 6 - Gestation times For 5459 pregnant women using...Ch. 6 - Used car prices Data from the Web site carmax.com...Ch. 6 - Used car deals Refer to the previous exercise....Ch. 6 - Global warming Suppose that weekly use of gasoline...Ch. 6 - Fast-food profits Macs fast-food restaurant finds...Ch. 6 - Metric height A Dutch researcher reads that male...Ch. 6 - Manufacturing tennis balls According to the rules...Ch. 6 - Brides choice of surname According to a study done...Ch. 6 - Prob. 74CPCh. 6 - Prob. 75CPCh. 6 - Prob. 76CPCh. 6 - Weather A weather forecaster states, The chance of...Ch. 6 - Dating success Based on past experience, Julio...Ch. 6 - Canadian lottery In one Canadian lottery option,...Ch. 6 - Likes on Facebook A large retail chain sends out...Ch. 6 - Likes with online credit The retail chain from the...Ch. 6 - Which distribution for sales? A salesperson uses...Ch. 6 - Best of five Example 2 gave the probability...Ch. 6 - Prob. 84CPCh. 6 - Prob. 85CPCh. 6 - Longest streak made In basketball, when the...Ch. 6 - Airline overbooking For the Boston to Chicago...Ch. 6 - Prob. 89CPCh. 6 - Prob. 90CPCh. 6 - Prob. 91CPCh. 6 - Prob. 92CPCh. 6 - Prob. 93CPCh. 6 - Prob. 94CPCh. 6 - Prob. 95CPCh. 6 - Prob. 96CPCh. 6 - Prob. 97CPCh. 6 - Prob. 98CPCh. 6 - Prob. 99CPCh. 6 - Prob. 100CPCh. 6 - Prob. 101CP
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