The College Board SAT college entrance exam consists of three parts:math, writing, and critical reading (The World Almanac, 2012). Sampledata showing the math and writing scores for a sample of 12 studentswho took the SAT follow. Student Math  Writing 123456789101112 540432528574448502480499610572390593 474380463612420526430459615541335613 a. Use a .05 level of significance and test for a difference betweenthe population mean for the math scores and the population meanfor the writing scores. What is the p-value and what is yourconclusion? b. What is the point estimate of the difference between the meanscores for the two tests? What are the estimates of the populationmean scores for the two tests? Which test reports the higher meanscore?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
icon
Related questions
Topic Video
Question

The College Board SAT college entrance exam consists of three parts:
math, writing, and critical reading (The World Almanac, 2012). Sample
data showing the math and writing scores for a sample of 12 students
who took the SAT follow.

Student Math  Writing
1
2
3
4
5
6
7
8
9
10
11
12
540
432
528
574
448
502
480
499
610
572
390
593
474
380
463
612
420
526
430
459
615
541
335
613

a. Use a .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. What is the p-value and what is your
conclusion?

b. What is the point estimate of the difference between the mean
scores for the two tests? What are the estimates of the population
mean scores for the two tests? Which test reports the higher mean
score?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax