### Assignment Instructions/ Description

Question: Image transcription textA13.3

XrA13-03 In an attempt to reduce the number of

person-hours lost as a result of industrial accidents,

a large multiplant corporation installed new safety

equipment in all departments and all plants. To test

the effectiveness of the equipment, a random sam-

ple of 25 plants was drawn. The number of person-

hours lost in the month before installation of the

safety equipment and in the month after installation

was recorded. Can we conclude that the equipment

is effective?... Show moreData: Image transcription textBefore

After

200

158

344

335

524

490

133

225

582

459

567

560

507

490

124

196

232

237

507

517

148

38

485

553

207

195

280

354

240

222

464

499

542

452

309

275

670

631

658

709

232

156

277

293

725

737

540

547

28... Show moreSolve using these steps:Image transcription textStep 1: Testing for Equal or Different variances

Hypothesis testing

Step 1: State hypothesis in plain English

Step 6: Select test statistic

Ho: Variances Before and After are

F-test(n1,n2

assumed to be equal

Ha: The variance of the two populations can be

assumed to be different

7: Critical value

Step 2: Select the statistical measure

F(24,24)= 1.9838 =F.INV.RT(0.05,24,24)

Sigma squared: 0^2

F-Test Two-Sample for Variances

Step 8: Compute the test statistic

FO=

0.959

Step 3: One-side or two-side?

p(Fo) =

0.4597

Mean

(order it to be one sided)

Variance

Observations

381 373.12

Step 4: State hypothesis math

39001 40663

25

25

Step 9: Compare the test calculated with the critical value

P(F<=f) one-tail

24

24

Fail to reject null if Fo < Foritial or p(Fol> alpha

F Critical one-tail|0.9591

Step 5: Level of test

959 < 1.98

fail to reject HO

0.4597

alpha =.05

0.5041

4597 >.05

fail to reject HO

Step 10: Write conclusion

Assume the variances before and after the equipment is replaced are approximately equal

Step 2: Testing for the means

Hypothesis testing

Step 1: State hypothesis in plain English

Step 6: Select test statistic

Ho: The new equipment is no more effective

paired t-test

in reducing person hours lost to accidents

to =

Sa

Ha: The new equipment reduces person hours

vna

lost to accidents

Step 7: Critical value

t-Test: Paired Two Sample for Means

Step 2: Select the statistical measure

t criitcal (.05, df=24) =1.71

d : population difference in

in person hours lost to accidents

Step 8: Compute the test statistic

Mear

381

before and after the installation of equipment t_stat

0.70

Variance

89001.33333 AAy

Step 3: One-side or two-side?

p(t_stat))

0.2438

Observations

25

373.12

One-sided

Pearson Corre

0.96099859

40663

Hypothesized

25

Step 4: State hypothesis math

IF

24

Ho:do 20

t Sta

0. 704956025

Step 9: Compare the test calculated with the critical value

PIT <=) one-te

0.243811644

Ha:do <0

Fail to reject null if to < toritial or p(Zo)> alpha

t Critical one-t.

1. 71086208

Step 5: Level of test

.705 < 1.71

fail to reject HO

(T<=t) two-ta

0.487623289

alpha =.05

t Critical two-te

2.063898562

2438 > .05

fail to reject reject HO

Step 10: Write conclusion

There is insufficient evidence to conclude that the new equipment reduces

person hours lost to accidents.... Show morePlease solve the problem exactly as it is listed, using the ten step method. The figures are from excel data analysis, so if you know how to use that computation, please include if applicable to the question. Also, if JMP is required and you know how to use that, please do. �The data is included to solve the problem.�