Calculate the test statistic. (Round your answer to three decimal places.) 2.383 Calculate the p-value. (Round your answer to four decimal places.) p-value =0394 What is your conclusion? O Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. O Reject H.. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. O Do not reject H.. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. O Reject H.. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. (b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score - writing score.) What are the estimates of the population mean scores for the two tests? Math Writing Which test reports the higher mean score?

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O Ho: Hg so
Calculate the test statistic. (Round your answer to three decimal places.)
2.383
Calculate the p-value. (Round your answer to four decimal places.)
p-value = .0394
What is your conclusion?
O Do not reject H.. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.
O Reject H. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.
O Do not reject H.. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.
O Reject H. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.
(b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score - writing score.)
What are the estimates of the population mean scores for the two tests?
Math
Writing
Which test reports the higher mean score?
The math test reports a ---Select--- v mean score than the writing test.
Transcribed Image Text:O Ho: Hg so Calculate the test statistic. (Round your answer to three decimal places.) 2.383 Calculate the p-value. (Round your answer to four decimal places.) p-value = .0394 What is your conclusion? O Do not reject H.. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. O Reject H. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. O Do not reject H.. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. O Reject H. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. (b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score - writing score.) What are the estimates of the population mean scores for the two tests? Math Writing Which test reports the higher mean score? The math test reports a ---Select--- v mean score than the writing test.
logy
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
432
380
3
528
457
4
574
612
5
448
420
6
502
526
7
480
430
499
459
9
610
609
10
572
541
11
390
335
12
593
613
(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 score - writing score.)
Formulate the hypotheses.
O Ho: Hoso
H: Hg = 0
O Ho: Hg > 0
Ho: Hd=0
H: Hg# 0
O Ho: Ho#0
H: Hd = 0
O Ho: Hgso
Hai Hd>0
Transcribed Image Text:logy 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 1 540 474 432 380 3 528 457 4 574 612 5 448 420 6 502 526 7 480 430 499 459 9 610 609 10 572 541 11 390 335 12 593 613 (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 score - writing score.) Formulate the hypotheses. O Ho: Hoso H: Hg = 0 O Ho: Hg > 0 Ho: Hd=0 H: Hg# 0 O Ho: Ho#0 H: Hd = 0 O Ho: Hgso Hai Hd>0
Expert Solution
Step 1

Given data,

Math writing
540 474
432 380
528 457
574 612
448 420
502 526
480 430
499 459
610 609
572 541
390 335
593 613

Hypothesis:

H0d=0

H1: µd≠0

 

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