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 5.3, Problem 5JC
As a group, the Dutch are among the tallest people in the world. The average Dutch man is 184 cm tall—just over 6 feet (and the average Dutch woman is 170.8 cm tall—just over 5′7″). If a Normal model is appropriate and the standard deviation for men is about 8 cm, what percentage of all Dutch men will be over 2 meters (6′6″) tall?
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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 5 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.1 - A distribution of incomes shows a strongly right...Ch. 5.2 - Prob. 3JCCh. 5.2 - Prob. 4JCCh. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 6JCCh. 5.3 - The mean of our original sample of 100 commute...Ch. 5.3 - Prob. 8JCCh. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Mensa People with z-scores above 2.5 on an IQ test...
Ch. 5 - Temperatures A towns January high temperatures...Ch. 5 - Placement exams An incoming freshman took her...Ch. 5 - Shipments A company selling clothing on the...Ch. 5 - Hotline A companys customer service hotline...Ch. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - IQ Some IQ tests are standardized to a Normal...Ch. 5 - Prob. 11ECh. 5 - Stats test Suppose your statistics professor...Ch. 5 - Normal cattle The Virginia Cooperative Extension...Ch. 5 - IQs revisited Based on the Normal model N(100, 15)...Ch. 5 - ACT scores The Mathematics section of the ACT test...Ch. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Wisconsin ACT 2015 The histogram shows the...Ch. 5 - Payroll Here are the summary statistics for the...Ch. 5 - Hams A specialty foods company sells gourmet hams...Ch. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Windy In the last chapter, we looked at three...Ch. 5 - Prob. 25ECh. 5 - Combining scores again The first Stat exam had a...Ch. 5 - Final exams Anna, a language major, took final...Ch. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Car speeds 100 John Beale of Stanford, California,...Ch. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Small steer In Exercise 29, we suggested the model...Ch. 5 - Prob. 38ECh. 5 - Trees A forester measured 27 of the trees in a...Ch. 5 - Rivets A company that manufactures rivets believes...Ch. 5 - Prob. 41ECh. 5 - Car speeds 100, the picture For the car speed data...Ch. 5 - Winter Olympics 2014 Thirty-four men completed the...Ch. 5 - Check the model The mean of the 100 car speeds in...Ch. 5 - Receivers 2015 NFL data from the 2015 football...Ch. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - More cattle Based on the model N(1152, 84)...Ch. 5 - More IQs In the Normal model N(100, 15) from...Ch. 5 - Prob. 51ECh. 5 - IQ, finis Consider the IQ model N(100, 15) one...Ch. 5 - Cholesterol Assume the cholesterol levels of adult...Ch. 5 - Tires A tire manufacturer believes that the...Ch. 5 - Kindergarten Companies that design furniture for...Ch. 5 - Prob. 56ECh. 5 - Eggs Hens usually begin laying eggs when they are...Ch. 5 - Tomatoes Agricultural scientists are working on...
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