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 3 528 457 4 574 606 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 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. a) H0: ?d = 0 Ha: ?d ≠ 0 b) H0: ?d ≤ 0 Ha: ?d > 0 c)H0: ?d ≤ 0 Ha: ?d = 0 d) H0: ?d > 0 Ha: ?d ≤ 0 e) H0: ?d ≠ 0 Ha: ?d = 0 Calculate the test statistic. (Round your answer to three decimal places.) answer: _ Calculate the p-value. (Round your answer to four decimal places.) p-value = answer: __ What is your conclusion? a) Do not reject H0. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. b) Reject H0. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. c) Reject H0. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. d) Do not reject H0. We cannot conclude that there is a significant difference between the population mean scores for the math

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	457
4	574	606
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 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.

a) H₀: ?_d = 0

H_a: ?_d ≠ 0

b) H₀: ?_d ≤ 0

H_a: ?_d > 0

c)H₀: ?_d ≤ 0

H_a: ?_d = 0

d) H₀: ?_d > 0

H_a: ?_d ≤ 0

e) H₀: ?_d ≠ 0

H_a: ?_d = 0

Calculate the test statistic. (Round your answer to three decimal places.)

answer: _____

Calculate the p-value. (Round your answer to four decimal places.)

p-value = answer: ______

What is your conclusion?

a) Do not reject H₀. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.

b) Reject H₀. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.

c) Reject H₀. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.

d) Do not reject H₀. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.

(part b)

What is the point estimate of the difference between the mean scores for the two tests? (Use math score − writing score.)

answer : ______

What are the estimates of the population mean scores for the two tests?

Math Writing answer: _____

Which test reports the higher mean score? answer: _____

The math test reports a (higher or lower) mean score than the writing test.

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