Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 11.1, Problem 1E
Consider two populations for which μ1 = 30, σ1 = 2, μ2 = 25, and σ2 = 3. Suppose that two independent random
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In 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…
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?
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…
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…
Chapter 11 Solutions
Introduction To Statistics And Data Analysis
Ch. 11.1 - Consider two populations for which 1 = 30, 1 = 2,...Ch. 11.1 - An individual can take either a scenic route to...Ch. 11.1 - Many people now tum to the Internet to get...Ch. 11.1 - Use the information in the previous exercise to...Ch. 11.1 - The article Plugged In, but Tuned Out (USA TODAY,...Ch. 11.1 - The National Sleep Foundation surveyed...Ch. 11.1 - The report referenced in the previous exercise...Ch. 11.1 - The paper If Its Hard to Read, Its Hard to Do...Ch. 11.1 - The paper Facebook Use and Academic Performance...Ch. 11.1 - Use the information in the previous exercise to...
Ch. 11.1 - Prob. 11ECh. 11.1 - The paper Mood Food: Chocolate and Depressive...Ch. 11.1 - The authors of the paper Influence of Biofeedback...Ch. 11.1 - Example 11.1 looked at a study comparing students...Ch. 11.1 - Internet addiction has been described as excessive...Ch. 11.1 - The paper Does the Color of the Mug Influence the...Ch. 11.1 - A newspaper story headline reads Gender Plays Part...Ch. 11.1 - The authors of the paper The Empowering (Super)...Ch. 11.1 - Fumonisins are environmental toxins produced by a...Ch. 11.1 - A researcher at the Medical College of Virginia...Ch. 11.1 - Do certain behaviors result in a severe drain on...Ch. 11.2 - Suppose that you were interested in investigating...Ch. 11.2 - Many runners believe that listening to music while...Ch. 11.2 - The study described in the previous exercise also...Ch. 11.2 - In Exercise 11.23, a hypothesis test leads to the...Ch. 11.2 - The article Puppy Love? Its Real, Study Says (USA...Ch. 11.2 - The authors of the paper Concordance of...Ch. 11.2 - The paper referenced in the previous exercise also...Ch. 11.2 - The paper Driving Performance While Using a Mobile...Ch. 11.2 - The paper referenced in the previous exercise also...Ch. 11.2 - Use the information given in the previous exercise...Ch. 11.2 - To determine if chocolate milk was as effective as...Ch. 11.2 - The humorous paper Will Humans Swim Faster or...Ch. 11.2 - The study described in the paper Marketing Actions...Ch. 11.2 - Head movement evaluations are important because...Ch. 11.2 - The paper Less Air Pollution Leads to Rapid...Ch. 11.2 - The paper The Truth About Lying in Online Dating...Ch. 11.2 - The paper Quantitative Assessment of Glenohumeral...Ch. 11.2 - Two proposed computer mouse designs were compared...Ch. 11.2 - The authors of the paper Ultrasound Techniques...Ch. 11.3 - Some people seem to believe that you can fix...Ch. 11.3 - The report titled Digital Democracy Survey (2016,...Ch. 11.3 - After the 2010 earthquake in Haiti, many...Ch. 11.3 - The article Most Women Oppose Having to Register...Ch. 11.3 - The article referenced in the previous exercise...Ch. 11.3 - The report Audience Insights: Communicating to...Ch. 11.3 - According to the U.S. Census Bureau, the...Ch. 11.3 - The article Fish Oil Staves Off Schizophrenia (USA...Ch. 11.3 - The report Young People Living on the Edge...Ch. 11.3 - The report Raising Kids and Running a Household:...Ch. 11.3 - The Bureau of Labor Statistics...Ch. 11.3 - The Bureau of Labor Statistics report referenced...Ch. 11.3 - The report The New Food Fights: U.S. Public...Ch. 11.3 - A survey of high school students is described in...Ch. 11.3 - The article Spray Flu Vaccine May Work Better Than...Ch. 11.3 - The following quote is from the article Canadians...Ch. 11.3 - A Harris Poll press release dated November 1,...Ch. 11.3 - Women diagnosed with breast cancer whose tumors...Ch. 11.3 - Gallup surveyed adult Americans about their...Ch. 11.4 - The paper The Psychological Consequences of Money...Ch. 11.4 - An experiment to determine if an online...Ch. 11.4 - The paper Ready or Not? Criteria for Marriage...Ch. 11.5 - Use the information given in the previous exercise...Ch. 11.5 - Prob. 66ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 70ECh. 11.6 - The article Rapid Evolutionary Response to a...Ch. 11.6 - Prob. 72ECh. 11.6 - Prob. 74ECh. 11.6 - Prob. 75ECh. 11.6 - As part of a study described in the report I Cant...Ch. 11.6 - Prob. 78ECh. 11 - A deficiency of the trace element selenium in the...Ch. 11 - Prob. 80CRCh. 11 - In a study of a proposed treatment for diabetes...Ch. 11 - When a surgeon repairs injuries, sutures (stitched...Ch. 11 - Prob. 83CRCh. 11 - In a study of memory recall, eight students from a...Ch. 11 - As part of a study to determine the effects of...Ch. 11 - The article Truth and DARE: Tracking Drug...Ch. 11 - The article Softball Sliding Injuries (American...Ch. 11 - Wayne Gretzky was one of ice hockeys most prolific...Ch. 11 - Heres one to sink your teeth into: The authors of...Ch. 11 - Dentists make many people nervous. To see whether...Ch. 11 - Both surface soil and subsoil specimens were taken...
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