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 4.1, Problem 1JC
The Bureau of Transportation Statistics of the U.S. Department of Transportation collects and publishes statistics on airline travel (www.transtats.bts.gov). Here are three displays of the % of flights arriving on time each month from 1994 through June 2016. (Data in Flights ontime 2016)
1. Describe what the histogram says about on-time arrivals.
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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?
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 4 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 4.1 - The Bureau of Transportation Statistics of the...Ch. 4.1 - The Bureau of Transportation Statistics of the...Ch. 4.1 - Prob. 3JCCh. 4 - Load factors 2016 The Research and Innovative...Ch. 4 - Load factors, 2016 by season We can also compare...Ch. 4 - Prob. 3ECh. 4 - Prisons 2014 In a way, boxplots are the opposite...Ch. 4 - Load factors 2016 by month Here is a display of...Ch. 4 - Prob. 6ECh. 4 - Prob. 7E
Ch. 4 - Prob. 8ECh. 4 - Prob. 9ECh. 4 - Exoplanets re-expressed Here are the exoplanet...Ch. 4 - Pizza prices by city (Data in Pizza prices) The...Ch. 4 - Cost of living 2016, selected cities To help...Ch. 4 - Prob. 16ECh. 4 - Prob. 17ECh. 4 - Slalom times 2014 The Mens Giant Slalom skiing...Ch. 4 - Sugar in cereals Sugar is a major ingredient in...Ch. 4 - Tendon transfers People with spinal cord injuries...Ch. 4 - Population growth, 2010 by region (Data in...Ch. 4 - Camp sites Shown below are the histogram and...Ch. 4 - Hospital stays The U.S. National Center for Health...Ch. 4 - Deaths 2014 A National Vital Statistics Report...Ch. 4 - Womens basketball Here are boxplots of the points...Ch. 4 - Prob. 26ECh. 4 - Marriage age In 1975, did men and women marry at...Ch. 4 - Fuel economy and cylinders Describe what these...Ch. 4 - Prob. 29ECh. 4 - Ozone Ozone levels (in parts per billion, ppb)...Ch. 4 - Test scores Three statistics classes all took the...Ch. 4 - Prob. 32ECh. 4 - Graduation? A survey of major universities asked...Ch. 4 - Vineyards Here are summary statistics for the...Ch. 4 - Caffeine A student study of the effects of...Ch. 4 - SAT scores Here are the summary statistics for...Ch. 4 - Prob. 37ECh. 4 - Framingham cholesterol The Framingham Heart Study...Ch. 4 - Prob. 39ECh. 4 - Cloud seeding In an experiment to determine...Ch. 4 - Industrial experiment Engineers at a computer...Ch. 4 - Cholesterol and smoking A study that examined the...Ch. 4 - Prob. 43ECh. 4 - Assets Here is a histogram of the assets (in...Ch. 4 - Prob. 46ECh. 4 - Assets again Here are the same data you saw in...Ch. 4 - Rainmakers The table lists the amounts of rainfall...Ch. 4 - Stereograms Stereograms appear to be composed...Ch. 4 - Stereograms, revisited Because of the skewness of...Ch. 4 - Prob. 51ECh. 4 - Prob. 52E
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