Question
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
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 dinnersales?
Determine the nullhypothesis, H0, and the alternativehypothesis, H1. Let
sales be population 1 and
sales be population 2.
H0:
sigma Subscript 1 Superscript 2 Baseline minus sigma Subscript 2 Superscript 2
2122
sigma 1 minus sigma 2
12
mu 1 minus mu 2
12
pi 1 minus pi 2
12
mu Subscript 1 Superscript 2 Baseline minus mu Subscript 2 Superscript 2
2122
less than or equals
equals
=
not equals
greater than
>
greater than or equals
less than
<
nothing
H1:
pi 1 minus pi 2
12
sigma Subscript 1 Superscript 2 Baseline minus sigma Subscript 2 Superscript 2
2122
mu 1 minus mu 2
12
sigma 1 minus sigma 2
12
mu Subscript 1 Superscript 2 Baseline minus mu Subscript 2 Superscript 2
2122
greater than
>
equals
=
less than
<
not equals
less than or equals
greater than or equals
nothing
(Type integers or decimals. Do notround.)
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