MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
A lumberyard has a machine that is designed to cut deck boards to a length of 14 feet. The manager of the lumberyard is concerned that the machine is not cutting the boards the correct length. He takes a random sample of 17 boards and records their lengths. Do these data provide convincing evidence at the = 0.05 level that the mean length of the cut boards differs from 14 feet? Let = the true mean length of the deck boards.
- Data: 13.89, 13.90, 13.95, 13.98, 13.99, 14.0, 14.02, 14.05, 14.08, 14.1, 14.15, 14.18, 14.2, 14.21, 14.23, 14.25, 14.3
Based on the scenario, identify the appropriate hypotheses to use to conduct a significance test.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Similar questions
- A machine makes sticks of butter whose average weight is 4.0 ounces. The SD of the weights is 0.05 ounces. There is no trend or pattern to the data. There are 4 sticks to a package. (1 pound = 16 ounces) A store buys 100 packages of butter. Estimate the chance that they get 100 pounds of butter, to within 2 ounces.arrow_forwardThe blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to Amercian Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailedarrow_forwardDo these calculations using Excel, a graphing calculator, or an app. Type the data in different columns and use Excel to find the means, standard deviations, and the calculation for r. An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance xx 1 4 6 5 5 6 Days yy 4 20 34 44 48 47 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of xx. MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of yy. MEAN: STANDARD DEVIATION: (c) Find the correlation rr between xx and yy. r: Speakarrow_forward
- The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to Amercian Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=50; ¯x=40.72 pounds; s=5.03pounds Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal…arrow_forwardThe mean GPA for a 127 residents of the local apartment complex is 1.6. What is the best point estimate for the mean GPA for all the residents of the local apartment complex?arrow_forwardWhat percentage of the widget Weights lie between 55 and 79 ounces when the mean is 61 and the standard deviation is 6 ?arrow_forward
- Last weekend, police ticketed 16 motorists from Edmonton whose mean speed was 116 kilometres per hour (kph), and 34 motorists from Calgary going an average of 120 kph. Overall, what was the mean speed of all the people ticketed? Answer: (Please round your answer to 2 decimal places.)arrow_forwardYou have data set withn = You add one value to the data set, x10 9 values and a mean of = 31. 42. ¿What is the mean of the expanded data set?arrow_forwardThe mean GPA for 102 residents of the local apartment complex is 1.8 What is the best point estimate for the mean GPA for all residents of the local apartment complex?arrow_forward
- For the project, you will have to: Collect and organize a sample of 30 items of data from a source you find relevant. Some examples: Sports (top HR hitters, rushing leaders, point scorers, etc.) Weather (average daily temperature for a month, max hurricane wind speed, etc.) Business (top-grossing movies, highest-paid athletes, record sales, etc.) Demographics (age, height, weight, etc.) Find the mean, median, mode, and mid-range for your date. Find the variance, standard deviation, and range for your data. Find the five-number summary and determine (mathematically) if there are any outliers. Construct a 95% confidence interval for the mean of your data. You are allowed to use the calculator for the calculations but you must provide me with the 30 data values you obtain in a neat, organized manner, preferably in a spreadsheet. Also, be sure to provide the source of your data. When you provide the answers to the questions above please use the correct symbols and notation.…arrow_forwardThe blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to Amercian Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. If you are going to test this claim, what would be your null and alternative hypotheses? Ho: HA: p> v Submit Questionarrow_forwardThe blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 42 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=42; ¯x=40.63 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses?H0: H1: c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman