Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 6, Problem 6SE
To determine
Construct the graph of the
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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 6 Solutions
Introductory Statistics (2nd Edition)
Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - Loaded Die (Example 2) A magician has shaved an...Ch. 6 - Prob. 6SECh. 6 - Distribution of Two Thumbtacks When a certain type...Ch. 6 - Distribution of Two Coin Flips When a fair coin is...Ch. 6 - Two Thumbtacks a. From your answers in Exercise...Ch. 6 - Two Coins a. From your answers in Exercise 6.8,...
Ch. 6 - Snow Depth (Example 3) Eric wants to go skiing...Ch. 6 - Snow Depth Refer to Exercise 6.11. What is the...Ch. 6 - Applying the Empirical Rule with z-Scores The...Ch. 6 - IQs Wechsler IQs are approximately Normally...Ch. 6 - SAT Scores Quantitative SAT scores are...Ch. 6 - Women’s Heights Assume that college women’s...Ch. 6 - Women’s height (Example 4) College women have a...Ch. 6 - Act scores ACT score are approximately Normally...Ch. 6 - Standard Normal Use the table or technology to...Ch. 6 - Standard Normal Use a table or technology to...Ch. 6 - Standard Normal Use a table or technology to...Ch. 6 - Standard Normal Use a table or technology to...Ch. 6 - Extreme Positive z -Scores For each question, find...Ch. 6 - Extreme Negative z-Scores For each question, find...Ch. 6 - Females' SAT Scores (Example 5) According to data...Ch. 6 - Males' SAT Scores According to data from the...Ch. 6 - Stanford-Binet IQs Stanford-Binet IQ scores for...Ch. 6 - Stanford-Binet IQs Stanford-Binet IQs for children...Ch. 6 - Birth Length (Example 6) According to National...Ch. 6 - White Blood Cells The distribution of white blood...Ch. 6 - Red Blood Cells: Men The distribution of red blood...Ch. 6 - Red Blood Cells: Women Answer the previous...Ch. 6 - SAT Scores in Alaska In Alaska in 2010, the...Ch. 6 - SAT Scores in Connecticut In Connecticut in 2010,...Ch. 6 - SAT Scores in New Jersey In New Jersey in 2010,...Ch. 6 - SAT Scores in Texas In Texas in 2010, the average...Ch. 6 - New York City Weather New York City’s mean minimum...Ch. 6 - Women's Heights Assume for this question that...Ch. 6 - Probability or Measurement (Inverse)? (Example 7)...Ch. 6 - Probability or Measurement (Inverse)? The Normal...Ch. 6 - Inverse Normal, Standard In a standard Normal...Ch. 6 - Inverse Normal, Standard In a standard Normal...Ch. 6 - Inverse Normal, Standard Assume a standard Normal...Ch. 6 - Inverse Normal, Standard Assume a standard Normal...Ch. 6 - Females' SAT Scores (Example 8) According to the...Ch. 6 - Males' SAT Scores According to the College Board,...Ch. 6 - Tall Club, Women Suppose there is a club for tall...Ch. 6 - Tall Club, Men Suppose there is a club for tall...Ch. 6 - Women’s Heights Suppose college women’s heights...Ch. 6 - Men’s Heights Suppose college men’s heights are...Ch. 6 - Inverse SATs Critical reading SAT scores are...Ch. 6 - Inverse Women’s Heights College women have heights...Ch. 6 - Girls’ and Women’s Heights According to the...Ch. 6 - Boys’ and Men’s Heights According to the National...Ch. 6 - Cats’ Birth Weights The average birth weight of...Ch. 6 - Elephants’ Birth Weights The average birth weight...Ch. 6 - Gender of Children (Example 10) A married couple...Ch. 6 - Coin Flip A coin will be flipped four times, and...Ch. 6 - Coin Flips (Example 10) A teacher wants to find...Ch. 6 - Twins In Exercise 6.59 you are told to assume that...Ch. 6 - Divorce Suppose that the probability that a...Ch. 6 - Divorce Suppose that the probability that a...Ch. 6 - Identifying n, p, and x (Example 11) For each...Ch. 6 - Identifying n, p, and x For each situation,...Ch. 6 - Stolen Bicycles (Example 12) According to the...Ch. 6 - Florida Recidivism Rate The three-year recidivism...Ch. 6 - Prob. 67SECh. 6 - Cornell Admission The undergraduate admission rate...Ch. 6 - Wisconsin Graduation Wisconsin has the highest...Ch. 6 - Colorado Graduation Colorado has a high school...Ch. 6 - Florida Homicide Clearance The homicide clearance...Ch. 6 - Virginia Homicide Clearance The homicide clearance...Ch. 6 - DWI Convictions (Example 13) In New Mexico, about...Ch. 6 - Internet Access A 2013 Gallup poll indicated that...Ch. 6 - Drunk Walking You may have heard that drunk...Ch. 6 - Texting While Driving According to a Pew poll in...Ch. 6 - Coin Flip (Example 14) A fair coin is flipped 50...Ch. 6 - Drivers Aged 60-65 According to GMAC Insurance, 20...Ch. 6 - Prob. 79SECh. 6 - Prob. 80SECh. 6 - Birth Length A study of U.S. births published on...Ch. 6 - Birth Length A study of U.S. births published on...Ch. 6 - Males’ Body Temperatures A study of human body...Ch. 6 - Females’ Body Temperatures A study of human body...Ch. 6 - Prob. 85CRECh. 6 - Cremation Rates in Mississippi, Binomial and...Ch. 6 - Prob. 87CRECh. 6 - Quantitative SAT Scores, Normal and Binomial The...Ch. 6 - Prob. 89CRECh. 6 - Birth Length and z-Scores, Inverse Babies in the...
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