Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 12.1, Problem 1JC
One common proposal for beating the lottery is to note which numbers have come up lately, eliminate those from consideration, and bet on numbers that have not come up for a long time. Proponents of this method argue that in the long run, every number should be selected equally often, so those that haven’t come up are due. Explain why this is faulty reasoning.
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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
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
Chapter 12 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 12.1 - One common proposal for beating the lottery is to...Ch. 12.3 - We sampled some pages of this book at random to...Ch. 12.3 - Prob. 3JCCh. 12.5 - Prob. 4JCCh. 12.6 - Prob. 5JCCh. 12 - Flipping a coin Flipping a fair coin is said to...Ch. 12 - Dice Rolling a fair six-sided die is supposed to...Ch. 12 - Flipping a coin II Your friend says: I flipped...Ch. 12 - Dice II After rolling doubles on a pair of dice...Ch. 12 - Wardrobe In your dresser are five blue shirts,...
Ch. 12 - Prob. 6ECh. 12 - Cell phones and surveys A 2015 study conducted by...Ch. 12 - Cell phones and surveys II The survey by the...Ch. 12 - Pet ownership Suppose that 25% of people have a...Ch. 12 - Cooking and shopping Forty-five percent of...Ch. 12 - Sports What is the probability that a person likes...Ch. 12 - Sports again From Exercise 11, if someone doesnt...Ch. 12 - Late to the train A student figures that he has a...Ch. 12 - Field goals A nervous kicker usually makes 70% of...Ch. 12 - Titanic On the Titanic, the probability of...Ch. 12 - Prob. 16ECh. 12 - Facebook Facebook reports that 70% of its users...Ch. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Online banking last time Given the probabilities...Ch. 12 - Sample spaces For each of the following, list the...Ch. 12 - Sample spaces II For each of the following, list...Ch. 12 - Prob. 25ECh. 12 - Rain The weather reporter on TV makes predictions...Ch. 12 - Winter Comment on the following quotation: What I...Ch. 12 - Snow After an unusually dry autumn, a radio...Ch. 12 - Auto insurance Insurance companies collect annual...Ch. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Electronics Suppose that 46% of families living in...Ch. 12 - Homes Funding for many schools comes from taxes...Ch. 12 - Prob. 35ECh. 12 - Lefties Although its hard to be definitive in...Ch. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Car repairs A consumer organization estimates that...Ch. 12 - Stats projects In a large Introductory statistics...Ch. 12 - More repairs Consider again the auto repair rates...Ch. 12 - Another project You are assigned to be part of a...Ch. 12 - Prob. 43ECh. 12 - Final project You used the Multiplication Rule to...Ch. 12 - Prob. 45ECh. 12 - Polling, part II According to Pew Research, the...Ch. 12 - Prob. 47ECh. 12 - Blood The American Red Cross says that about 45%...Ch. 12 - Prob. 49ECh. 12 - Disjoint or independent? In Exercise 48, you...Ch. 12 - Prob. 51ECh. 12 - The train To get to work, a commuter must cross...Ch. 12 - Prob. 53ECh. 12 - Pepsi For a sales promotion, the manufacturer...Ch. 12 - 9/11? On September 11, 2002, the first anniversary...Ch. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Health The probabilities that an adult American...Ch. 12 - Immigration The table shows the political...Ch. 12 - Prob. 61ECh. 12 - Birth order, take 2 Look again at the data about...Ch. 12 - Batteries A junk box in your room contains a dozen...Ch. 12 - Prob. 64ECh. 12 - Eligibility A university requires its biology...Ch. 12 - Benefits Fifty-six percent of all American workers...Ch. 12 - Unsafe food Early in 2010, Consumer Reports...Ch. 12 - Prob. 68ECh. 12 - Prob. 69ECh. 12 - Politics Given the table of probabilities from...Ch. 12 - Gender A poll conducted by Gallup classified...Ch. 12 - Cars A random survey of autos parked in student...Ch. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Late luggage Remember Leah (Exercise 73)? Suppose...Ch. 12 - Prob. 76ECh. 12 - Prob. 77ECh. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - Prob. 80ECh. 12 - Drunks Police often set up sobriety...Ch. 12 - No-shows An airline offers discounted...Ch. 12 - Prob. 83ECh. 12 - Parts A company manufacturing electronic...Ch. 12 - HIV testing In July 2005, the journal Annals of...Ch. 12 - Polygraphs Lie detectors are controversial...
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