MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
Transcribed Image Text:A psychologist finds that fidgety patients tap their fingers on average 500 times during a 2 hour period. You wish to test this claim for the same patients, but in a
room decorated with soothing colors and soft lighting. You believe that a warmly decorated room may alter the fidgeting behavior, causing subjects to tap their
fingers less than they do under normal conditions. A random sample of 400 patients has a mean of 420 taps and a standard error of 30 taps in a 2 hour period.
Find the margin of error for the average tapping of fingers during a 2 hour period.
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
Knowledge Booster
Similar questions
- At BYU-Idaho there has been a lot of interest in the performance of students in online classes. Generally, administrators are interested to know if there is a difference in the learning of students who take an online course compared to those who take a traditional course. A study was done to see if the grade received in the course is related to the type of course. Researchers collected the grades of randomly selected students who were taking a traditional Business Statistics class and compared those with the grades earned by randomly selected students who were taking an online Business Statistics class. The data are shown in the table below. Grade A B с D F You want to determine if a student's grade and the type of course he or she is enrolled in are independent. Use a level of significance of a = 0.01. State the null and alternative hypothesis for this test. O Ho: Traditional and online courses are not independent. H₂: Traditional and online courses are independent. O Ho: Traditional…arrow_forward8. The lengths of bolts produced in a certain factory may be taken to be normally distributed. The bolts are checked on two 'go-no go' gauges so that those shorter than 2-983 in. or longer than 3-021 in. are rejected as 'too-short' or 'too-long' respectively. A random sample of N 300 bolts is checked. If they have mean length 3-007 in. and standard deviation 0-011 in., what values would you expect for n₁, the number of 'too-short' bolts and n₂, the number of 'too-long' bolts? = 1 A sample of N = 600 bolts from another factory is also checked. If for this sample we find n₁ 20 and ₂ 15, find estimates for the mean and standard deviation of the length of these bolts.arrow_forwardThis research was conducted with Korean adolescents in the Los Angeles area. Would you be willing to generalize the results of this study to Korean adolescents who live in other regions of the country? Why or why not.arrow_forward
- A researcher was interested in how the effects of stress were different in people with our without military training. A equal number of participants were recruited that either had no military experience or had completed military experience. All participants were asked to give a speech without preparation while being judged by a panel of experts. Their heart rates were monitored during the speech and an average heart rate was calcuated for each participant. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVAarrow_forwardA researcher wants to examine the effect of daily mental exercises on cognitive performance of people in early stages of Alzheimer's disease. She enrolled to her study n = 16 patients diagnosed with the early stage of Alzheimer's disease and all participants conducted daily mental exercises for a month. At the end of the program all enrolled patients took the MMSE test (i.e., Mini-Mental State Examination). The results show that the sample mean on the MMSE test was M = 23.6 with the standard deviation, s = 7. It is known that the MMSE mean in the population of patients with early Alzheimer's disease is µ = 20. Do these data show a significant effect of daily mental exercises on cognitive performance in early stages of Alzheimer's disease?arrow_forwardOne personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that µ is 142, but you believe that u is less than 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 135 and that the standard deviation of their scores is 28. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? Ho: u is ? ? |H,: µ is ? H : ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? v when, in fact, μ is| ? ? Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ?arrow_forward
- A large company that produces allergy medications claims that Americans lose an average of 40 hours of work to problems related to seasonal allergies. A consumer advocacy group believes that company's claim exhibits self-interest bias. In other words, the advocacy group believes that the actual mean number of missed hours is less than claimed. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 American workers. They find that these 100 people lost and average of 38 hours due to seasonal allergy symptoms. The standard deviation is 9.5 hours. (c) Based on your selection from part (b), what is the value of the standardized test statistic for this significance test? (d) Based on your selection from part (b), what is the P-value for this significance test? (e) What is the correct decision for this test, using a 0.05 level of signifcance? A) Reject the null hypothesis B) Do not reject the null…arrow_forwardSuppose that Kim is a participant in a study that compares several coaching methods to see how they affect math Scholar Aptitude Test (SAT) scores. The grand mean of math SAT scores for all participants (My) in the study is 550. The group that Kim participated in had a mean math SAT score of 565. Kim’s individual score on the math SAT was 610. What was the estimate residual component (of Kim’s score, that is, the part of Kim’s score that was not related to the coaching method? (Both parts of this question call for specific numerical values as answers). What was that “effect” (ai) component of Kim's score? What pattern in grouped data would make SSwithin = 0? What pattern within data would make SSbetween = 0?arrow_forwardOne personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that u is 148, but you believe that u is greater than 148. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 155 and that the standard deviation of their scores is 28. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? |H;: µ is ? ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? v the hypothesis that u is ? v? v. when, in Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ?arrow_forward
- Describe a study in which you can use both nonparametric and parametric statistics. A researcher has participants expecting to receive either painful or mild electrical shocks during a study wait in a quarter-full waiting room with other participants. He then measures whether they choose to sit next to other participants or if they sit far away on their own. What is the best test to run for this study and why?arrow_forwardA dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?arrow_forwardThe proportion of drivers who use seat belts depends on things like age (young people are more likely to go unbelted) and gender (women are more likely to use belts). It also depends on local law. In New York City, police can stop a driver who is not belted. In Boston at the time of the study, police could cite a driver for not wearing a seat belt only if the driver had been stopped for some other violation. Here are data from observing random samples of female Hispanic drivers in these two cities. (a) Verify that the 95% CI for the difference in the proportions of female Hispanic drivers in the two cities who wear seat belts pNY −pBT is (0.149,0.353). Show your computation.(b) Determine if the following statements are true or false, and explain your reasoning if you identify the statement as false. i. There was strong evidence that pNY > pBT.ii. 95% of random samples of 220 female Hispanic drivers in New York City and 117 female Hispanic drivers in Boston will yield differences…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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