MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is
0.157, 0.182, 0.206, 0.217, 0.218, 0.236, 0.238, 0.248, 0.257, 0.264,0.275, 0.284, 0.283, 0.303, 0.321, 0.340
Using the
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 3 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- An automated machine in a manufacturing process is operating properly if the length of animportant component is normally distributed, with mean = 117 cm and std. dev = 5.2 cm. Find the probability that, if four units are randomly selected, their mean length is greaterthan 120 cm.arrow_forwardA construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two random samples were taken. Assume the distributions are normal.Dry Wall Results by Age Age 18-21(sheets/week) Age 25-28(sheets/week) 92 104 109 116 93 96 81 104 115 108 109 108 84 116 121 112 94 120 116 108 a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age. b) Check the conditions. c) Calculate the test statistic. d) Find the p-value. e) Using α = 0.05, state your conclusion in the context of the problem.arrow_forwardThe following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. (5.58, 5.72, 4.99, 4.80, 5.02, 4.60, 4.74, 5.19, 4.61, 4.76, 4.56, 5.69) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. If repeated samples are taken, 99% of them will have a sample pH of rain water between ______ and ______. B. There is 99% confidence that the population mean pH of rain water is between ______ and ______ C. There is a 99% probability that the true mean pH of rain water is between ______ and ______.arrow_forward
- According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 15 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.7, 3.7, 1.6, 0.8, 4.6, 3.7, 4.2, 1.1, 0.7, 2.5, 2.5, 2.8, 3.8, 1.7, 3.7 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean = __?___ H1:H1: mean not equal to __?__ The test statistic t= __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)arrow_forwardA government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34. suppose that, in fact, the total cholesterol level of men aged 20-34 follows the normal distribution with a mean of 182 milligrams per deciliter. The standard deviation is 37 milligrams per deciliter. choose an SRS of 1000 men from this population. Now what is the probability that x falls within + or - 2 milligrams per deciliter of the mean?arrow_forwardSuppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.156 0.187 0.196 0.209 p 0.218 0.223 0.234 0.242 0.253 0.259 0.264 0.286 0.295 0.293 0.307 0.337 Click here to view the table of critical values. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table, Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) O A. No. The correlation between the expected z-scores and the observed data, does not exceed the critical value. Therefore, it is reasonable to conclude that the data come from a normal population. O B. Yes. The correlation…arrow_forward
- The owner of a tire company wants to determine how long a new type of tire tread will last by measuring the length of time, in days, it takes for the tire tread to reach 2 mm. Let u = the true mean number of days it takes for the tire tread to wear to 2 mm. Which of the following sample sizes will have the least variability in the sampling distribution of the sample mean? 25 O35 O45 55arrow_forwardAccording to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 15 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.7, 4.1, 0.6, 4.4, 3.2, 0.8, 3.1, 3.8, 1.1, 3.3, 2.1, 1.5, 2.5, 2.3, 1.7 What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean study time per unit for statistics students is not significantly more…arrow_forwardA pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of nine patients. The effectiveness periods of the tranquilizer for each patient (in hours) were as follows: 2.7, 2.8, 3.0, 2.3, 2.3, 2.2, 2.8, 2.1and 2.4. If the error bound is 0.2444, then the level of confidence interval of the mean is: None of the other options 0.99 0.98 0.95arrow_forward
- A special diet was given to a species of birds and the gain in weight (in grams) over a 5-week period was measured. The following are the summary statistics for a random sample of 30 birds: 5-number summary: 55, 90, 105, 120, 155.What is the most likely shape of the distribution?arrow_forwardA sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: Low Temperature High Temperature 17.9 21.2 17.6 20.9 18.3 19.8 15.9 20.3 16.5 20.5 17.8 21.3 16.1 20.8 18.7 19.7 16.4 21.5 17.2 20.3 s = 0.9709 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances. b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances.arrow_forwardThe football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.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