Using the accompanying data of restaurantsales, determine if the variance of weekday sales is the same as that of weekend sales for each of the three variables(lunch, dinner, anddelivery).

Date Day Lunch Sales $ Dinner Sales $ Delivery Sales $

4-Apr Wednesday 346 781 299

11-Apr Wednesday 382 674 310

18-Apr Wednesday 414 628 278

25-Apr Wednesday 347 732 252

3-Apr Tuesday 280 656 316

10-Apr Tuesday 305 583 327

17-Apr Tuesday 293 579 366

24-Apr Tuesday 229 513 404

5-Apr Thursday 398 807 280

12-Apr Thursday 416 892 239

19-Apr Thursday 343 912 295

26-Apr Thursday 420 945 349

6-Apr Friday 446 1279 1243

13-Apr Friday 514 1174 1078

20-Apr Friday 464 1340 1254

27-Apr Friday 370 1410 1153

1-Apr Saturday 871 1341 480

8-Apr Saturday 688 1211 343

15-Apr Saturday 747 1134 319

22-Apr Saturday 853 1314 315

29-Apr Saturday 781 1235 396

31-Mar Sunday 548 1468 880

7-Apr Sunday 447 1643 782

14-Apr Sunday 505 1578 716

21-Apr Sunday 617 1724 631

28-Apr Sunday 602 1847 597

Is there sufficient evidence at the 0.01 level of significance to conclude that the variance of weekday sales is the same as that of weekend sales for lunchsales?

Determine the nullhypothesis, H0, and the alternativehypothesis, H1. Let

weekend

weekday

sales are population 1 and

weekend

weekday

sales be population 2.

H0:

mu Subscript 1 Superscript 2 Baseline minus mu Subscript 2 Superscript 2

2122

mu 1 minus mu 2

12

sigma 1 minus sigma 2

12

sigma Subscript 1 Superscript 2 Baseline minus sigma Subscript 2 Superscript 2

2122

pi 1 minus pi 2

12

not equals

less than

<

equals

=

greater than

>

greater than or equals

less than or equals

nothing

H1:

mu 1 minus mu 2

12

pi 1 minus pi 2

12

sigma Subscript 1 Superscript 2 Baseline minus sigma Subscript 2 Superscript 2

2122

sigma 1 minus sigma 2

12

mu Subscript 1 Superscript 2 Baseline minus mu Subscript 2 Superscript 2

2122

less than or equals

greater than or equals

less than

<

not equals

greater than

>

equals

=

(Type integers or decimals. Do notround.)