5. A research described were selected, and samples from none lots of hydrochlori

ID: 3317188 • Letter: 5

Question

5. A research described were selected, and samples from none lots of hydrochloric acid soluble fraction mg/kg) is in the following table. a study on the protopectin content of tomatoes during storage. Four storage times tomatoes were analyzed. The protopectin content (expressed as Storage Lot 5 346 1260966 8 9 6 7 966 t1123|1106-1116 2 1day, 11694 989·917|346 1260 17dre 1802-1074 279 1375 -544 672 818 407 462 420 410 ays 1802 14 days 1568 21 days 416 21daysL-416845 1150 96 272 395 984 394 i 356 i 351 646 | 272 378279 448 Construct an appropriate analysis of variance (ANOVA) table and use it for the following questions: different storage times. Test this hypothesis using -0.05. Explain test result and your conclusion. (1 pts) (a) The researchers in this study hypothesized that mean protopectin content would be different at (b) The researchers in this study hypothesized that mean protopectin content would be not differenta different storage lot. Test this hypothesis using a-0.05. Explain test result and your conclusion. (10

Explanation / Answer

Anova: Two-Factor Without Replication

SUMMARY

Count

Sum

Average

Variance

storage time

7.5

1day

9517

1057.444

124405

7days

7433

825.8889

253256.4

14 days

8485

942.7778

393516.9

21 days

3838

426.4444

27002.03

lot

5481

1096.2

685062.2

3556

711.2

183478.7

3397

679.4

516525.3

3923

784.6

596913.8

3241

648.2

237926.2

2311

462.2

136660.2

2764

552.8

183920.7

2297

459.4

159210.8

2348

469.6

161915.3

ANOVA

Source of Variation

P-value

F crit

Rows

6737916

1684479

11.448

7E-06

2.668437

Columns

1676966

209620.8

1.424618

0.224305

2.244396

Error

4708536

147141.8

Total

13123419

ho: There is no significant difference in the mean protopectin between different storage items

h1: at least one of the mean protopectin between different storage items differs significantly

with F = 11.448 and p-value < 0.05, I reject ho and conclude that at least one of the mean protopectin between different storage items differs significantly

ho: There is no significant difference in the mean protopectin between different lots

h1: at least one of the mean protopectin between different lots differs significantly

with F = 1.424618 and p-value > 0.05, I fail to reject ho and conclude that there is no significant difference in the mean protopectin between different lots