Answered: a) Identify the claim and state Ho and…

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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Question

A16

APPENDIX B Table 4-Standard Normal Distribution

Table 4-Standard Normal Distribution

Area

.09

.08

.07

.06

.05

.04

.03

.02

.01

.00

- 3.4

.0002

.0003

.0003 .0003

.0003

- 3.3

.0003

- 3.2

.0005

- 3.1

.0007

.0004 .0004

.0005 .0005 .0007 .0008

.0004

.0005 .0005 .0005

.0006

.0006 .0007 .0007

.0008 .0008

.0008

.0009

.0009 .0010

- 3.0

.0010

.0010 .0011

.0011 .0011

.0012

.0013 .0013

.0013

- 2.9

.0014

.0014 .0015

.0015 .0016

.0016

.0017

.0018

.0018 .0019

- 2.8

.0019

.0020

.0021 .0021

.0022

.0023

.0024

.0025 .0026

- 2.7

.0026

.0027

.0028 .0029

.0030

.0031

.0032

.0033 .0034 .0035

- 2.6

.0036

.0037

.0038 .0039 .0040

.0041

.0043 .0044

.0045 .0047

- 2.5

.0048

.0049 .0051

.0052 .0054

.0055

.0057 .0059

.0060 .0062

- 2.4

.0064

.0066 .0068

.0069 .0071

.0073

.0075

- 2.3

.0084

.0087 .0089

.0091

.0094

.0096

.0099

.0078 .0102 .0104 .0107

.0080 .0082

-2.2

.0110

.0113 .0116

.0119

.0122

.0125 .0129

.0132

.0136 .0139

- 2.1

.0143

.0146 .0150

.0154

.0158

.0162

.0166

.0170

.0174

.0179

- 2.0

.0183

.0188 .0192

.0197 .0202

.0207

.0212

.0217

.0222

.0228

- 1.9

.0233

.0239

- 1.8

.0294

.0301

.0307

– 1.7

.0367 .0375

- 1.6

- 1.2

- 1.1

.1170

- 1.0

.1379

-0.9

-0.8

-0.7 .2148 .2177

.0244 .0250 .0256 .0262 .0268 .0314 .0322 .0329 .0384 .0392 .0401 .0409 .0455 .0465 .0475 .0485 .0495 .0505 - 1.5 .0559 .0571 .0582 .0594 .0606 - 1.4 .0681 .0694 .0708 .0721 - 1.3 .0823 .0838 .0853 .0869 .0885

.0985 .1003 .1020 .1038 .1056 .1075 .1093

.1190 .1210 .1230 .1251 .1271 .1401 .1423 .1446 .1469 .1492 .1611 .1635 .1660 .1685 .1711 .1736 .1867 .1894 .1922 .1949 .1977

.0274

.0281

.0287

.0336 .0418 .0516 .0526

.0344 .0351

.0359

.0427 .0436

.0446

.0537

.0548

.0618

.0630

.0643 .0655

.0668

.0735

.0749

.0764

.0778

.0793 .0808

.0901

.0918

.0934

.1112

.0951 .1131 .1151

.0968

.1515

.1762

.1292 .1314

.1539 .1788 .1814 .1841

.1335 .1357

.1562 .1587

.2005

.2033

.2061

.2090 .2119

.2206 .2236

.2266

.2296

.2327

.2358

.2389 .2420

-0.6 .2451 .2483 .2514 .2546 .2578 -0.5 .2776 .2810 .2843 .2877 .2912

-0.4 .3121 .3156 .3192 .3228 .3264 -0.3 .3483 .3520 .3557 .3594 .3632 -0.2 .3859 .3897 .3936 .3974 .4013 -0.1 .4247 .4286 .4325 .4364 .4404 .4443 -0.0 .4641 .4681 .4721 .4761 .4801 .4840

.2611

.2643 .2676

.2946

.3300

.3669

.4052

.3707

.4090

.2709 .2743 .2981 .3015 .3050 .3085

.3336 .3372 .3409 .3446

.3745 .3783 .3821 .4129 .4168 .4207 .4483 .4522 .4562 .4602 .4880 .4920 .4960 .5000

Critical Values

Level of Confidence c

0.80

1.28

0.90

1.645

0.95

1.96

0.99

2.575

z=0

(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
Ha: p
=
Zo
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Z=
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
OA. The rejection region is
OB. The rejection region is z>
O c. The rejection regions are z <
D. The rejection region is z <
<Z<
(c) Find the standardized test statistic z.
Ha:p<
and z>
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
the null hypothesis. There
enough evidence to
the researcher's claim.
Ha:p>

An education researcher claims that 61% of college students work year-round. In a random sample of 200 college students, 122 say they work year-round. At x = 0.10, is there enough evidence to
reject the researcher's claim? Complete parts (a) through (e) below.
Standard Normal Distribution Table (Page 1)
Standard Normal Distribution Table (Page 2)
(a) Identify the claim and state Ho and Ha.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
O A. The percentage of college students who work year-round is not %.
B. At least
% of college students work year-round.
% of college students work year-round.
C. At most
O D. % of college students work year-round.
Let p be the population proportion of successes, where a success is a college student who works year-round. State Ho and H₂. Select the correct choice below and fill in the answer boxes to
complete your choice.
(Round to two decimal places as needed.)
OA. Ho: P
Ha: p=
D. Ho: p=
Ha: p
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
B. Ho: P<
Ha:pz
O E.
Ho: p²
Ha: p<
Zo =
/Round to two decimal nlaces as needed. Use a comma to separate answers as needed)
OC. Ho:p>
Ha: ps
OF. Ho: ps
Ha:p>

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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