Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 8.1, Problem 18AYU
(a)
To determine
The assumption regarding the population mean to calculate the probability involving sample mean
To determine
The sampling distribution of x ¯
(b)
To determine
The probability
(c)
To determine
The probability of the random variable x ¯
(d)
To determine
To Compare: The result obtained in part (b) of question number 17 and question number 18.
To determine
To Compare: The result obtained in part (c) of question number 17 and question number 18.
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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 8 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 8.1 - 1. The ________ ________ of the sample mean, , is...Ch. 8.1 - Prob. 2AYUCh. 8.1 - 3. The standard deviation of the sampling...Ch. 8.1 - 4. True or False: The distribution of the sample...Ch. 8.1 - Prob. 5AYUCh. 8.1 - Prob. 6AYUCh. 8.1 - 7. A simple random sample of size n = 10 is...Ch. 8.1 - 8. A simple random sample of size n = 40 is...Ch. 8.1 - In Problems 9–12, determine and from the given...Ch. 8.1 - Prob. 10AYU
Ch. 8.1 - In Problems 9–12, determine and from the given...Ch. 8.1 - Prob. 12AYUCh. 8.1 - 13. Answer the following questions for the...Ch. 8.1 - Prob. 14AYUCh. 8.1 - 15. A simple random sample of size n = 49 is...Ch. 8.1 - Prob. 16AYUCh. 8.1 - 17. A simple random sample of size n = 12 is...Ch. 8.1 - Prob. 18AYUCh. 8.1 - 19. Gestation Period The length of human...Ch. 8.1 - 20. Upper Leg Length The upper leg length of 20-...Ch. 8.1 - 21. Reading Rates The reading speed of second...Ch. 8.1 - 22. Old Faithful The most famous geyser in the...Ch. 8.1 - 23. Rates of Return in Stocks The S&P 500 is a...Ch. 8.1 - Prob. 24AYUCh. 8.1 - 25. Oil Change The shape of the distribution of...Ch. 8.1 - 26. Time Spent in the Drive-Through The...Ch. 8.1 - 27. Insect Fragments The Food and Drug...Ch. 8.1 - Prob. 28AYUCh. 8.1 - 29. Watching Television The amount of time...Ch. 8.1 - Prob. 30AYUCh. 8.1 - 31. Sampling Distributions The following data...Ch. 8.1 - Prob. 32AYUCh. 8.1 - 33. Putting It Together: Playing Roulette In the...Ch. 8.1 - Prob. 34AYUCh. 8.1 - 35. State the Central Limit Theorem.
Ch. 8.1 - Prob. 36AYUCh. 8.1 - Prob. 37AYUCh. 8.1 - Prob. 38AYUCh. 8.1 - Prob. 39AYUCh. 8.1 - 40. Sleepy Suppose you want to study the number of...Ch. 8.1 - 41. Sleepy Again Suppose you want to study the...Ch. 8.1 - Prob. 42AYUCh. 8.2 - 1. In a town of 500 households, 220 have a dog....Ch. 8.2 - 2. The _______ _______, denoted p̂, is given by...Ch. 8.2 - 3. True or False: The population proportion and...Ch. 8.2 - 4. True or False: The mean of the sampling...Ch. 8.2 - 5. Describe the circumstances under which the...Ch. 8.2 - 6. What happens to the standard deviation of as...Ch. 8.2 - In Problems 7–10, describe the sampling...Ch. 8.2 - Prob. 8AYUCh. 8.2 - In Problems 7–10, describe the sampling...Ch. 8.2 - In Problems 7–10, describe the sampling...Ch. 8.2 - 11. A simple random sample of size n = 75 is...Ch. 8.2 - 12. A simple random sample of size n = 200 is...Ch. 8.2 - 13. A simple random sample of size n = 1000 is...Ch. 8.2 - Prob. 14AYUCh. 8.2 - Prob. 15AYUCh. 8.2 - Prob. 16AYUCh. 8.2 - 17. Marriage Obsolete? According to a study done...Ch. 8.2 - 18. Credit Cards According to creditcard.com, 29%...Ch. 8.2 - 19. Afraid to Fly According to a study conducted...Ch. 8.2 - 20. Having Children? The Pew Research Center...Ch. 8.2 - 21. Election Prediction Exit polling is a popular...Ch. 8.2 - 22. Acceptance Sampling A shipment of 50,000...Ch. 8.2 - 23. Social Security Reform A researcher studying...Ch. 8.2 - 24. ADHD A researcher studying ADHD among...Ch. 8.2 - 25. Reincarnation Suppose 21% of all American...Ch. 8.2 - 26. Assessments Consider the homeowners...Ch. 8.2 - 27. Airline Reservations In Chapter 6, we learned...Ch. 8.2 - Prob. 28AYUCh. 8.2 - Prob. 29AYUCh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - 6. Copper Tubing A machine at K&A Tube &...Ch. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - 3. The charge life of a certain lithium ion...Ch. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 1CSCh. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Prob. 5CSCh. 8 - Prob. 6CSCh. 8 - Prob. 7CSCh. 8 - Prob. 8CSCh. 8 - Prob. 9CSCh. 8 - Prob. 10CSCh. 8 - 11. Compute the mean for the first 10 values in...Ch. 8 - Prob. 12CSCh. 8 - Prob. 13CSCh. 8 - Prob. 14CSCh. 8 - Prob. 15CSCh. 8 - Prob. 16CSCh. 8 - Prob. 17CSCh. 8 - Prob. 18CSCh. 8 - Prob. 19CS
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