Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 8, Problem 13CS
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To compute: The
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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…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
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The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…
Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
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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- Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardIn order to find probability, you can use this formula in Microsoft Excel: The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest. =NORM.DIST(x, Mean, Standard Dev., TRUE). When the question mentions “greater than” you may have to subtract your answer from 1. When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer. 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…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…arrow_forward
- Problem 1: The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is: Between the mean and $45 per hour? More than $45 per hour? Less than $32 per hour? Problem 2: The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds? What is the area between the mean and 395 pounds? What is the probability of randomly selecting a value less than 395 pounds? Problem 3: In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution. What percent of New York State high school teachers earn between 70,000 and 75,000? What percent of New York State high school…arrow_forwardPls help asaparrow_forwardSolve the following LP problem using the Extreme Point Theorem: Subject to: Maximize Z-6+4y 2+y≤8 2x + y ≤10 2,y20 Solve it using the graphical method. Guidelines for preparation for the teacher's questions: Understand the basics of Linear Programming (LP) 1. Know how to formulate an LP model. 2. Be able to identify decision variables, objective functions, and constraints. Be comfortable with graphical solutions 3. Know how to plot feasible regions and find extreme points. 4. Understand how constraints affect the solution space. Understand the Extreme Point Theorem 5. Know why solutions always occur at extreme points. 6. Be able to explain how optimization changes with different constraints. Think about real-world implications 7. Consider how removing or modifying constraints affects the solution. 8. Be prepared to explain why LP problems are used in business, economics, and operations research.arrow_forward
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