(2 points) We consider the differences between the reading and
writing scores of a random sample of 217 students who took the High
School and Beyond Survey. The mean and standard deviation of the
differences are x¯read−write=−0.59 and sread−write=8.553
points.
Note: although the sample size is large, please
perform calculations using the t-distribution.
NOTE: A T Value must be computed and not found using t
table.
Calculate a 91 % confidence interval for the average difference
between the reading and writing scores of all students. (Give
answers rounded to at least 2 decimal places.)
The lower level of the confidence interval is:
The upper level of the confidence interval is:
The confidence interval provides convincing evidence that there is
a real difference between the average scores (enter either TRUE or
FALSE):
(2 points) We consider the differences between the reading and writing scores of a random sample...
We considered the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey in Exercise 5.21. The mean and standard deviation of the differences are x̄read-write = -0.545 and 8.887 points respectively. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. lower bound: points (please round to two decimal places) upper bound: points (please round to two decimal...
High School and Beyond, Part II: We considered the differences between the reading and writing scores of a random sample of 200 students who took the high school and beyond survey in exercise 5.3. The mean and standard deviation of the differences are is = -0.545 and 8,887 points. a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. b) Interpret this interval in context. c) Does the confidence interval provide...
9points) High School and Beyond, Part I. The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 200 students from this survey. A histogram of the difference in the reading and writing score of each student is shown below 1. Which set of hypotheses is appropriate for the following research question: is there an significant difference in the average...
t nework SetsGrades 1. Which set of hypotheses is appropriate for the foilowing research question is there an significant a and wrilting exam? difference in the average scores of students in the reading 2. Are t the required conditions met to complete this test? Why or wihy not??because The average observed difference in scores is read rie 0.576 and the standard deviation of the differences is 941 points. Do these data prowide convincing evidence of a difference between the average...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Writing Math 540 432 474 374 612 420 526 610 615 SAS 11 12 390 593 335 513 (a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow Student Math Writing 540 432 528 574 448 502 480 499 610 572 474 380 463 606 420 2 4 526 430 459 609 541 335 613 6 8 10 390 12 593 (a) Use a 0.05 level of significance and test for a difference between the population mean...
SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below. 380 520 480 510 560 630 670 490 500 550 400 350 440 490 620 660 700 730 740 560 Test if the standard deviation of the reading and writing section SAT score of the students in this school is higher than 100. What is the value of the test statistic (round off to the nearest integer)?
SAT college entrance exam consists of three parts: math, writing and critical reading (The World A Almanac 2012). Sample data showing the math and writing scores for a students who took the SAT follow. Click on the datafile logo to reference the data. DATA e sample of twelve StudentMath Writing MathWriting 432 528 574 430 615 335 380 499 610 572 390 612 420 526 12 613 a. Use a 0.5 level of significance and test for a difference between...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Math Writing 1 540 474 2 432 380 3 528 463 4 574 612 5 448 420 6 502 526 7 480 430 8 499 459 9 610 615 10 572 541 11 390 335 12 593 613 (a) Use a 0.05 level of significance and test for...
The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the SAT follow Student Math Writing 1 540 474 2 432 380 3 528 463 4 574 612 5 448 420 6 502 526 7 480 430 8 499 459 9 610 615 10 572 541 11 390 335 12 593 613 Use a .05 level of significance...