Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 6.5, Problem 2CYU
a.
To determine
Check whether it is reasonable to treat the given sample as coming from an approximately normal population or not.
b.
To determine
Check whether it is reasonable to treat the given sample as coming from an approximately normal population or not.
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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
Essential Statistics
Ch. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYUCh. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10CYU
Ch. 6.1 - Prob. 11ECh. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - If a normal population has a mean of and a...Ch. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - Determine Exercises 1726, whether the statement is...Ch. 6.1 - Determine Exercises 1726, whether the statement is...Ch. 6.1 - Prob. 23ECh. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - 27. The following figure is a probability density...Ch. 6.1 - 28. The following figure is a probability density...Ch. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - 32. Find the area under the standard normal curve...Ch. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - 36. Find the area under the standard normal curve...Ch. 6.1 - Find the area under the standard normal curve that...Ch. 6.1 - Find the area under the standard normal curve that...Ch. 6.1 - Prob. 39ECh. 6.1 - 40. Find the z-score for which the area to its...Ch. 6.1 - Prob. 41ECh. 6.1 - 42. Find the z-score for which the area to its...Ch. 6.1 - Prob. 43ECh. 6.1 - 44. Find the z-scores that bound the middle 70% of...Ch. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - 59. Check your blood pressure: The Centers for...Ch. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - 64. Big chickens: A report on thepoultrysite.com...Ch. 6.1 - Prob. 65ECh. 6.1 - 66. Electric bills: According to the U.S. Energy...Ch. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - 69. Tire lifetimes: The lifetime of a certain type...Ch. 6.1 - 70. Tree heights: Cherry trees in a certain...Ch. 6.1 - 71. Tire lifetimes: The lifetime of a certain type...Ch. 6.1 - Prob. 72ECh. 6.1 - Prob. 73ECh. 6.1 - Prob. 74ECh. 6.1 - Prob. 75ECh. 6.1 - 76. How much do you study? A survey among freshmen...Ch. 6.1 - Prob. 77ECh. 6.1 - Prob. 78ECh. 6.1 - Prob. 79ECh. 6.1 - Prob. 80ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.2 - A population has mean μ = 6.9 and standard...Ch. 6.2 - A population has mean μ = 17 and standard...Ch. 6.2 - A population has mean μ = 10 and standard...Ch. 6.2 - A population has mean μ = 47.5 and standard...Ch. 6.2 - Prob. 5ECh. 6.2 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - 10. A sample of size 126 will be drawn from a...Ch. 6.2 - Prob. 11ECh. 6.2 - 12. A sample of size 284 will be drawn from a...Ch. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - A sample of size 20 will be drawn from a...Ch. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - 22. Watch your cholesterol: The National Health...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - 25. Taxes: The Internal Revenue Service reports...Ch. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - 28. Elevator ride: Engineers are designing a large...Ch. 6.2 - Annual income: The mean annual income for people...Ch. 6.2 - Prob. 30ECh. 6.2 - Eat your cereal: A cereal manufacturer claims that...Ch. 6.2 - Battery life: A battery manufacturer claims that...Ch. 6.2 - Prob. 33ECh. 6.3 - Find μ p ^ and σ p ^ if n = 20 and p = 0.82.Ch. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - For a certain type of computer chip, the...Ch. 6.3 - Prob. 5ECh. 6.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.3 - Prob. 11ECh. 6.3 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Coffee: The National Coffee Association reported...Ch. 6.3 - Smartphones: A Pew Research report indicated that...Ch. 6.3 - Student loans: The Institute for College Access...Ch. 6.3 - High school graduates: The National Center for...Ch. 6.3 - Prob. 19ECh. 6.3 - Working two jobs: The Bureau of Labor Statistics...Ch. 6.3 - Future scientists: Education professionals refer...Ch. 6.3 - Blood pressure: High blood pressure has been...Ch. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Kidney transplants: The Health Resources and...Ch. 6.3 - How’s your new car? The General Social Survey...Ch. 6.3 - Flawless tiles: A new process has been designed to...Ch. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.4 - Prob. 10ECh. 6.4 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Stress at work: In a poll conducted by the General...Ch. 6.4 - What’s your opinion? A pollster will interview a...Ch. 6.4 - Prob. 20ECh. 6.4 - The car is in the shop: Among automobiles of a...Ch. 6.4 - Prob. 22ECh. 6.4 - Getting bumped: Airlines often sell more tickets...Ch. 6.4 - Prob. 24ECh. 6.4 - Probability of a single number: A fair coin is...Ch. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6CYUCh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Defective items: The number of defective items...Ch. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6 - Following is a probability density curse for a...Ch. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Find the z-scores that bound the middle 80% of the...Ch. 6 - Find z0.15.Ch. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQCh. 6 - Prob. 11CQCh. 6 - Prob. 12CQCh. 6 - Prob. 13CQCh. 6 - Prob. 14CQCh. 6 - Prob. 15CQCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Your battery is dead: The lifetimes of a certain...Ch. 6 - Take your medicine: Medication used to treat a...Ch. 6 - Lightbulbs: The lifetime of lightbulbs has a mean...Ch. 6 - More lightbulbs: Someone claims to have developed...Ch. 6 - Prob. 7RECh. 6 - Safe delivery: A certain delivery truck can safely...Ch. 6 - Elementary school: In a certain elementary school,...Ch. 6 - Face book: Eighty percent of the students at a...Ch. 6 - It’s all politics: A politician in a close...Ch. 6 - Side effects: A new medical procedure produces...Ch. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 1WAICh. 6 - Prob. 2WAICh. 6 - Prob. 3WAICh. 6 - Prob. 4WAICh. 6 - Prob. 5WAICh. 6 - Prob. 6WAICh. 6 - Prob. 7WAICh. 6 - Prob. 1CSCh. 6 - Prob. 2CSCh. 6 - Prob. 3CSCh. 6 - Prob. 4CSCh. 6 - Prob. 5CSCh. 6 - Prob. 6CSCh. 6 - Prob. 7CSCh. 6 - Prob. 8CS
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