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 20.5, Problem 1JC
Researchers in Food Science studied how big people’s mouths tend to be. They measured mouth volume by pouring water into the mouths of subjects who lay on their backs. Unless this is your idea of a good time, it would be helpful to have a model to estimate mouth volume more simply. Fortunately, mouth volume is related to height. (Mouth volume is measured in cubic centimeters and height in meters.)
The data were checked and deemed suitable for regression. Take a look at the computer output. (Data in Mouth_volume)
1. What does the t-ratio of 3.27 for the slope tell about this relationship? How does the P-value help your understanding?
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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 20 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 20.5 - Researchers in Food Science studied how big...Ch. 20.5 - Prob. 2JCCh. 20.5 - Prob. 3JCCh. 20.5 - Prob. 4JCCh. 20.5 - Prob. 5JCCh. 20.5 - Prob. 6JCCh. 20 - Graduate earnings Does attending college pay back...Ch. 20 - Shoot to score 2016 A college hockey coach...Ch. 20 - Prob. 3ECh. 20 - Shoot to score II Discuss the assumptions and...
Ch. 20 - Prob. 5ECh. 20 - Shoot to score, another one Using the regression...Ch. 20 - Prob. 7ECh. 20 - Shoot to score, hat trick Returning to the results...Ch. 20 - Prob. 9ECh. 20 - Shoot to score, number five What can the hockey...Ch. 20 - Prob. 11ECh. 20 - Prob. 12ECh. 20 - Prob. 13ECh. 20 - Prob. 14ECh. 20 - Prob. 15ECh. 20 - Shoot to score, double overtime Continuing from...Ch. 20 - Prob. 17ECh. 20 - Prob. 18ECh. 20 - Prob. 19ECh. 20 - Prob. 20ECh. 20 - Prob. 21ECh. 20 - Drug use 2013 The 2013 World Drug Report...Ch. 20 - Prob. 23ECh. 20 - Saratoga house prices How does the price of a...Ch. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Prob. 28ECh. 20 - Prob. 29ECh. 20 - More cholesterol Look again at Exercise 28s...Ch. 20 - Prob. 31ECh. 20 - Cholesterol, finis Based on the regression output...Ch. 20 - Prob. 33ECh. 20 - Prob. 34ECh. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - Prob. 37ECh. 20 - Prob. 38ECh. 20 - Prob. 39ECh. 20 - Fuel economy A consumer organization has reported...Ch. 20 - Climate change 2016 Data collected from around the...Ch. 20 - Prob. 42ECh. 20 - Prob. 43ECh. 20 - Fuel economy, part III Consider again the data in...Ch. 20 - Climate change again Consider once again the CO2...Ch. 20 - Cereals A healthy cereal should be low in both...Ch. 20 - Brain size Does your IQ depend on the size of your...Ch. 20 - Prob. 48ECh. 20 - Prob. 49ECh. 20 - Prob. 50ECh. 20 - Ozone and population The Environmental Protection...Ch. 20 - Prob. 52ECh. 20 - Prob. 53ECh. 20 - More sales and profits Consider again the...Ch. 20 - Prob. 55ECh. 20 - Crawling Researchers at the University of Denver...Ch. 20 - Midterms The data set below shows midterm and...Ch. 20 - Prob. 58ECh. 20 - Prob. 59ECh. 20 - All the efficiency money can buy 2011 A sample of...Ch. 20 - Education and mortality The following software...Ch. 20 - Property assessments The following software output...Ch. 20 - Prob. 63ECh. 20 - Prob. 64E
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