Researchers want to test whether an Indian child's school grades are influenced by his or hercaste. They believe graders simply take 10 points off the score of a test written by a studentbelonging to a lower caste. In order to test this hypothesis, they obtain the scores of childrenof higher and lower castes, on a test on which children are generally believed to do equallywell. In their sample, among the 45 children belonging to the higher castes, the averagegrade was 74, with a standard deviation of 12. Among the 41 children belonging to the lowercastes, the average grade was 61, with a standard deviation of 11.(a) Test the hypothesis that the difference in the mean scores of children of higher castesand thechildren of lower castes is 10 points at 1% significance level.(b) Define a two-sided confidence interval for the difference in the means.(c) Assuming that the caste bias does not impact the variance of the grades, rerun yourhypothesis.(d) Report your two-sided confidence interval for part c

(a) To test the hypothesis that the difference in mean scores of children of higher castes and…

Answered: Researchers want to test whether an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A researcher wants to see if police officers’ enthusiasm for their jobs changes after having endured a horrific event (such as killing someone or being shot). She tests a group of officers who have endured such an event and another group that has not on a measure of job satisfaction. What test should she run? Is it one-tailed or two-tailed test?
Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 505 males surveyed, 171 responded "Yes"; among the 522 females surveyed, 202 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below. C -0.0484 ő 0 0.0484 (e) Determine the P-value based on the model from part (d). First find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
A research group conducted an extensive survey of 2940 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1470 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 1.6% of the population percentage? (Hint: Use p ≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) workers
Researchers wish to study the effect of daily brain teasers on a person's intelligence. The researchers randomly choose 20 students from their local college campus. Day one of the test, every student is given an IQ test. The students are then randomly divided into Group A and Group B (10 students each). Group A is given daily brain teasers, while Group B were not instructed to participate in anything outside their normal routine. At the end of a 30 day period, each member of the group takes an IQ test. The students are aware of what group they are in, but the researchers have no idea until the results are given. The test given to Group A would be considered the Control Treatment Variable Placebo
In a study assessing helping behavior among college students on their way to class, you recruit 10 students. You tell some participants that they are late for class and need to rush. You tell others they are right on time. Finally, you tell others they have lots of time before class. As they walk across campus, they come across a man (actually a confederate) who appears to need help. You measure the extent to which the participant noticed that the confederate needed help (1 = did not notice to 9 = really noticed). Which hypothesis test would you calculate? F test Independent sample t-test z test Dependent sample t-test
In a study about learning styles, researchers used a group of 64 elementary school students who volunteered to be part of the study. The researchers gave each student a pre-test and based upon the results, they divided them into 32 pairs of similarly scoring students. School administrators then randomly assigned one student from each pair to mathematics instruction online while the other student received in-person instruction in a traditional classroom. At the end of the year, all 64 students received a mathematics assessment, measured on a 100-point scale. The researchers calculated the difference (in person −− online) in the mathematics assessment scores for each pair of students. The 32 differences had a mean of 15 and a standard deviation of 3.9 points. Construct and interpret a 95% confidence interval for the mean difference (in person −− online) in the mathematics assessment scores for all pairs of students like these who learn math either face-to-face or online.
A research group conducted an extensive survey of 2958 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1467 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed f we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.6% of the population percentage? (Hint: Use p≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) USE SALT workers
Does the source of medical information affect people’s confidence that it is true? To answer this question, you presented medical information to participants regarding the importance of vaccinations. Participants were randomly assigned to read medical information from a doctor, a politician, or a celebrity. Then, they indicated how confident they were that the information is true.
Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the…
A research group conducted an extensive survey of 2942 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1633 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit
A research group conducted an extensive survey of 2978 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1583 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS