Introduction to Statistical Quality Control
7th Edition
ISBN: 9781118146811
Author: Montgomery, Douglas C.
Publisher: John Wiley & Sons Inc
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Chapter 1, Problem 15DQE
What is a Six Sigma process?
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SWIMMER’S FLEXIBILITY STUDY Swimming requires complete body movement as defined in sports science. A swimmer’s flexibility helps in his/her movement in water, thus making him/her a faster swimmer. In a study conducted to determine if there is an improvement in swim speed after doing flexibility exercise, 15 swimmers of the same characteristics were randomly selected. They were asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. After this, a flexibility exercise was done. All the swimmers were then asked to do another 25-m freestyle and their swim speed (in seconds) were also recorded. The data collected are given below and can also be found in the worksheet “swim_speed”of excel file “exer3_data.xlsx”. R outputs can be found in the file “exer3_outputs.pdf”.(Use before – after in your computations
Swimmer
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Before
16.87
19.42
20.04
22.82
24.24
17.76
23.91
17.17
After
15.82
18.47
20.43
21.76
23.88
18.12
20.96
16.03
Swimmer
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On average children speak their first word when they are a year old u=12 months A development psychologist argues that showing a baby educational videos will help them learn to talk more quickly in order to test this theory the psychologist selects a random sample of for newborn children and instructs their parents to show them educational videos an hour a day for one year and to record their child’s ages when they speak their first word.
Ages of first word-10,11,12,11
Use a one tailed test
A=.01
Compute 50% confidence intervals and r^2
A researcher examined automobile accidents by studying whether drivers had been drinking alcohol (yes, no) and the time of the
accident (7 a.m., 12 p.m., 6 p.m., or 3 a.m.). How many main effects are possible in this study?
1
3.
4.
8.
Chapter 1 Solutions
Introduction to Statistical Quality Control
Ch. 1 - Why is it difficult to define quality?Ch. 1 - Briefly discuss the eight dimensions of quality....Ch. 1 - Is there a difference between quality for a...Ch. 1 - Can an understanding of the multidimensional...Ch. 1 - What are the internal customers of a business? Why...Ch. 1 - Is the Deming philosophy more or less focused on...Ch. 1 - What is the Juran Trilogy?Ch. 1 - What are the three primary technical tools used...Ch. 1 - Distinguish among quality planning, quality...Ch. 1 - What is the Malcolm Baldrige National Quality...
Ch. 1 - Who was Walter A. Shewhart?Ch. 1 - What is meant by the cost of quality?Ch. 1 - Are internal failure costs more or less important...Ch. 1 - What is a Six Sigma process?Ch. 1 - Discuss the statement Quality is the...Ch. 1 - Compare and contrast Demings and Jurans...Ch. 1 - What would motivate a business to compete for the...Ch. 1 - What are the three components of the ISO 9000:2005...Ch. 1 - Explain why it is necessary to consider...Ch. 1 - Reconsider the fast-food restaurant visit...Ch. 1 - What is the Toyota Production System?Ch. 1 - What were Henry Fords contributions to quality?Ch. 1 - What are the objectives of a supplier development...
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- A random number generator selects two integers from 1 to 30. What is the probability that both numbers are less than 12?arrow_forwardForming an Experimental Group To conduct an experiment, researchers randomly select five students from a class of 20. How many different groups of five students are possible?arrow_forwardIf Canada post operates with a successful Six Sigma program for letter handling, how many delivery errors can be expected if one million pieces of mail are handled between December 1st and December 25th? 34 2700 3.4 6.0arrow_forward
- Running heart rate 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile. Jose is a physician who is researching to what extent running affects heart rate in 18-25 year-olds. He believes that less than Jose recruits a random sample of 464 people between the ages of 18 and 25 to run a mile and records their heart rate. He finds that 184 have a heart rate of more than 120 bpm. Round all calculated answers to 4 decimal places. 1. Correctly state the null and alternative hypotheses. Но : р На : р くV 2. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? А. 10 В. 25 С. 184 D. 20 E. None of the above 3. Calculate the test statistic for this hypothesis test.arrow_forwardRunning heart rate 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile. Jose is a physician who is researching to what extent running affects heart rate in 18-25 year-olds. He believes that less than Jose recruits a random sample of 464 people between the ages of 18 and 25 to run a mile and records their heart rate. He finds that 184 have a heart rate of more than 120 bpm. Round all calculated answers to 4 decimal places. 1. Correctly state the null and alternative hypotheses. Но : р На : р くV 2. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 10 ОВ. 25 С. 184 D. 20 O E. None of the above 3. Calculate the test statistic for this hypothesis test. 4. Calculate the p-value. 5. Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations. A.…arrow_forwardDo You Believe in Ghosts? A telephone survey of 1000 randomly selected US adults found that 31 % of them say they believe in ghosts." Does this provide evidence that more than 1 in 4 US adults believes in ghosts?arrow_forward
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- believe that the movie “hellboys” was so bad that I actually became less intelligent after watching it. To test this theory, I took a group of 5 people and measured their intelligence. Then I forced them to watch. After the movie, I measured their intelligence again to see whether it decreased. Not that I truly believe that there is no possible way for the movie to increase someones intelligence Pre treatment scores for the people in the group: 100 110 95 120 105 Post treatment scores for the people in the group: 70 97 80 98 95 Conduct the appropriate test using the data provided. Maintain a Type 1 error rate of 2.5% no ssps please.arrow_forwardPedestrians arrive at a street crossing according to a Poisson process at a rate of 4 per minute. A traffic light alternates between two states with durations shown below: Don’t Walk 2 minutes Walk 1 minute What is the mean and standard deviation of the number of pedestrians waiting to cross? What is the probability that nobody is waiting to cross? What is the probability that nobody crosses during the entire one minute Walk cycle?arrow_forwardII. Conduct a hypothesis test A research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher's claim?arrow_forward
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