We consider the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey. The mean and standard deviation of the differences areXread= -0.531 and 8.858 points.write(a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. (Round your answers to two decimal places.)(b) Interpret this interval in context. (Round your answers to two decimal places.)We are 95% confident that on the reading test students score, on average,points lower toYou may need to use the appropriate table in the Appendix of Tables to answer this question.points higher than they do on the writing test.(c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain.Since 0 isincluded in the interval, the confidence interval does notprovide convincing evidence that there is a real difference in the average scores.

The sample size is 200, the mean is -0.531 and the standard deviation is 8.858.

Answered: We consider the differences between the…

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

Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
A sample of 134 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. The mean rate is computed to be $87 and the standard deviation is $14. One motel charged $57 per night which is the 13th percentile. Another motel charged $118 per night which is the 75th percentile. Step 3 of 4 : One of the motels was 1.3 standard deviations below the mean, what is the price of a single room at the motel? Round your answer to two decimal places.
One year the ACT had a mean score of 22.7 and a standard deviation of 4.1. minutes. (a)Calculate the z-score of an ACT score of 25. Interpret it using a complete sentence. B. What ACT score is 1.5 standard deviations above the mean? What can you say about this consumption
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 28 and the age of the winner for best actress was 44. For all best actors, the mean age is 42.3 years and the standard deviation is 8.4 years. For all best actresses, the mean age is 33.3 years and the standard deviation is 10.7 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z = and the z score for the actress is z=, the had the more extreme age. (Round to two decimal places.)
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 night students, and the sample mean GPA is 2.83 with a standard deviation of 0.94. You sample 55 day students, and the sample mean GPA is 2.97 with a standard deviation of 0.92. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses?H0: Select an answer μ σ² μ₂ p μ₁ x̄₂ s² x̄₁ = Select an answer μ x̄₂ σ² μ₂ x̄₁ μ₁ s² p H1: Select an answer σ² μ x̄₁ s² p x̄₂ μ₁ μ₂ ? = < > ≤ ≠ ≥ Select an answer μ x̄₂ x̄₁ μ₂ σ² s² μ₁ p Based on the hypotheses, find the following:Test Statistic = Critical Values = ±± (Just enter the positive CV.)The correct decision is to Select an answer Reject the null hypothesis Fail to reject the null hypothesis The correct summary would be: Select an answer There is not enough…
You are conducting an experiment to examine the anxiety level of a group of Design Technology students. The population standard deviation o=4.8. You compute the mean and standard deviation of your sample and find that sample mean = 25.9 and sample standard deviation s = 5.3. What is the standard error of the sample mean if your sample size is 36? Give your answer to 2 decimal places.
On an intelligence test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw (actual) scores on the test for people with IQs of (a) 119, (b) 81, and (c)100? To do this problem, first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. (a) What is the raw (actual) score on the test for people with an IQ of 119?
You are interested in whether or not two different measures of child behaviour are different. The measurement tools both require the child teacher to fillout a question about the child, you give both questionares to Avery teacher and obtain two scores. On the CBCL, Avery score is is 68.On the BASC, Avery score is 32. The CBCL has a mean of 100 and a stardard deviation of 15. The BASC has a mean of 50 and a standard deviation of 10. (a) what is Avery z score on CBCL (b) What is Avery z score on BASC (c) On which test is Avery score lower relative to the population (CBCL/BASC) (d) The cutoff score for clinical diagnosis for both tests of -2 on either test are considerd clinically signifcantly concern. Do these tests give the same resultling diagnosis ? (yesy/no)
The 95% confidence interval of the variance of a population is computed as (12.367,21.761). Interpret this confidence interval.
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?
ANSWER PART B ONLY

SEE MORE QUESTIONS

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