5D The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in Table 1, and the income of females is given in Table 2 ("Median income of," 2013): Table 1: Data of Income for Males $42,951 $52,379 $42,544 $37,488 $49,281 $50,987 $60,705 $50,411 $66,760 $40,951 $43,902 $45,494 $41,528 $50,746 $45,183 $43,624 $43,993 $41,612 $46,313 $43,944 $56,708 $60,264 $50,053 $50,580 $40,202 $43,146 $41,635 $42,182 $41,803 $53,033 $60,568 $41,037 $50,388 $41,950 $44,660 $46,176 $41,420 $45,976 $47,956 $22,529 $48,842 $41,464 $40,285 $41,309 $43,160 $47,573 $44,057 $52,805 $53,046 $42,125 $46,214 $51,630         Table 2: Data of Income for Females $31,862 $40,550 $36,048 $30,752 $41,817 $40,236 $47,476 $40,500 $60,332 $33,823 $35,438 $37,242 $31,238 $39,150 $34,023 $33,745 $33,269 $32,684 $31,844 $34,599 $48,748 $46,185 $36,931 $40,416 $29,548 $33,865 $31,067 $33,424 $35,484 $41,021 $47,155 $32,316 $42,113 $33,459 $32,462 $35,746 $31,274 $36,027 $37,089 $22,117 $41,412 $31,330 $31,329 $33,184 $35,301 $32,843 $38,177 $40,969 $40,993 $29,688 $35,890 $34,381         Is there enough evidence to show that the mean income of males is more than of females?  Test at the 1% level. (x)  Select the statement that most correctly interprets the result of this test: A.  The result is not statistically significant at .01 level of significance.  Sufficient evidence exists to support the claim that the mean income of males is more than of females. . B.  The result is not statistically significant at .01 level of significance.  There is not enough evidence to support the claim that the mean income of males is more than of females. C.  The result is statistically significant at .01 level of significance.  Sufficient evidence exists to support the claim that the mean income of males is more than of females. D.  The result is statistically significant at .01 level of significance.  There is not enough evidence to support the claim that the mean income of males is more than of females. Enter letter corresponding to most correct answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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5D

The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in Table 1, and the income of females is given in Table 2 ("Median income of," 2013):

Table 1: Data of Income for Males

$42,951

$52,379

$42,544

$37,488

$49,281

$50,987

$60,705

$50,411

$66,760

$40,951

$43,902

$45,494

$41,528

$50,746

$45,183

$43,624

$43,993

$41,612

$46,313

$43,944

$56,708

$60,264

$50,053

$50,580

$40,202

$43,146

$41,635

$42,182

$41,803

$53,033

$60,568

$41,037

$50,388

$41,950

$44,660

$46,176

$41,420

$45,976

$47,956

$22,529

$48,842

$41,464

$40,285

$41,309

$43,160

$47,573

$44,057

$52,805

$53,046

$42,125

$46,214

$51,630

 

 

 

 

Table 2: Data of Income for Females

$31,862

$40,550

$36,048

$30,752

$41,817

$40,236

$47,476

$40,500

$60,332

$33,823

$35,438

$37,242

$31,238

$39,150

$34,023

$33,745

$33,269

$32,684

$31,844

$34,599

$48,748

$46,185

$36,931

$40,416

$29,548

$33,865

$31,067

$33,424

$35,484

$41,021

$47,155

$32,316

$42,113

$33,459

$32,462

$35,746

$31,274

$36,027

$37,089

$22,117

$41,412

$31,330

$31,329

$33,184

$35,301

$32,843

$38,177

$40,969

$40,993

$29,688

$35,890

$34,381

 

 

 

 

Is there enough evidence to show that the mean income of males is more than of females?  Test at the 1% level.

(x)  Select the statement that most correctly interprets the result of this test:

A.  The result is not statistically significant at .01 level of significance.  Sufficient evidence exists to support the claim that the mean income of males is more than of females. .

B.  The result is not statistically significant at .01 level of significance.  There is not enough evidence to support the claim that the mean income of males is more than of females.

C.  The result is statistically significant at .01 level of significance.  Sufficient evidence exists to support the claim that the mean income of males is more than of females.

D.  The result is statistically significant at .01 level of significance.  There is not enough evidence to support the claim that the mean income of males is more than of females.

Enter letter corresponding to most correct answer

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