Question
In: Statistics and Probability
The fertilizers A and B, with C as the control (no fertilizer) used in a tomato...
The fertilizers A and B, with C as the control (no fertilizer) used in a tomato experiment. Four (4) replicates for each treatment are obtained, and the data of the completely randomized design for tomato plants as the total yield is summarized as follows: ? = ????? ??? ????????? ? ? ABC T1 = 26.1 T3 = 26.3 ?1 = 4 ?3 = 4 x2 =600.0 ij T2 = 31.8 ?2 = 4
(a) Write the assumptions of a single factor ANOVA.
(b) Formulate the null and the alternative hypothesis for the tomato plants experiment.
(c) Construct an ANOVA table for the experiment.
(d) Calculate the value of the test statistic, state the degrees of freedom, and approximate the p-value.
(e) Would you reject H0 or fail to reject H0 at 5% level of significance?
(f) Write your conclusion.
(g) Use Tukey’s procedure to identify the significant differences in the mean yield for the three treatments. Be sure to order the treatment means and underscore that don`t differ.
(h) Which fertilizer would you recommend?
Solutions
orchestra answered 2 years agoRelated Solutions
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1...
A company blends two materials: A and B to produce two types of
fertilizers. Fertilizer 1 must be at least 50% of A and sells for
$65 per kilo gram. Fertilizer 2 must be at least 70% of B and sells
for $48 per kilogram. The price of martial A is $10 per 100 kilo
grams and the price of martial B is $14 per 100 kilo grams if they
purchased over 10,000 kilo gram the price will be reduced...
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1...
A company blends two materials: A and B to produce two types of
fertilizers. Fertilizer 1 must be at least 50% of A and sells for
$65 per kilo gram. Fertilizer 2 must be at least 70% of B and sells
for $48 per kilogram. The price of martial A is $10 per 100 kilo
grams and the price of martial B is $14 per 100 kilo grams if they
purchased over 10,000 kilo gram the price will be reduced...
Tomato weights and Fertilizer: Carl the farmer has three fields of tomatoes, on one he used...
Tomato weights and Fertilizer: Carl the farmer
has three fields of tomatoes, on one he used no fertilizer, in
another he used organic fertilizer, and the third he used a
chemical fertilizer. He wants to see if there is a difference in
the mean weights of tomatoes from the different fields. The sample
data is given below. The second table gives the results from an
ANOVA test. Carl claims there is a difference in the mean weight
for all tomatoes...
Tomato weights and Fertilizer: Carl the farmer has three fields of tomatoes, on one he used...
Tomato weights and Fertilizer: Carl the farmer
has three fields of tomatoes, on one he used no fertilizer, in
another he used organic fertilizer, and the third he used a
chemical fertilizer. He wants to see if there is a difference in
the mean weights of tomatoes from the different fields. The sample
data is given below. The second table gives the results from an
ANOVA test. Carl claims there is a difference in the mean weight
for all tomatoes...
A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants...
A horticulturist is studying the relationship between tomato
plant height and fertilizer amount. Thirty tomato plants grown in
similar conditions were subjected to various amounts of fertilizer
over a four-month period, and then their heights were measured. The
results are shown in the accompanying table. Fertilizer Amount
(ounces) Tomato Plant Height (inches) 1.9 20.4 5.0 29.1 4.2 28.2
1.3 24.3 4.9 29.2 5.4 29.8 3.1 34.6 0.0 25.3 2.3 26.2 2.5 25.7 0.9
26.5 1.0 28.6 4.5 25.7 3.8 36.8...
Fertilizer: In an agricultural experiment, the effects of two fertilizers on the production of oranges were...
Fertilizer: In an agricultural experiment, the
effects of two fertilizers on the production of oranges were
measured. Thirteen randomly selected plots of land were treated
with fertilizer A, and
10
randomly selected plots were treated with fertilizer B. The
number of pounds of harvested fruit was measured from each plot.
Following are the results.
Fertilizer A
523
464
483
460
491
403
484
448
457
437
516
417
420
Fertilizer B
362
414
408
398
382
368
393
437
387...
Fertilizer: In an agricultural experiment, the effects of two fertilizers on the production of oranges were...
Fertilizer: In an agricultural experiment, the
effects of two fertilizers on the production of oranges were
measured. Thirteen randomly selected plots of land were treated
with fertilizer A, and
10
randomly selected plots were treated with fertilizer B. The
number of pounds of harvested fruit was measured from each plot.
Following are the results.
Fertilizer A
523
464
483
460
491
403
484
448
457
437
516
417
420
Fertilizer B
362
414
408
398
382
368
393
437
387...
Fertilizer: In an agricultural experiment, the effects of two fertilizers on the production of oranges were...
Fertilizer: In an agricultural experiment, the
effects of two fertilizers on the production of oranges were
measured. Twelve randomly selected plots of land were treated with
fertilizer A, and
7
randomly selected plots were treated with fertilizer B. The
number of pounds of harvested fruit was measured from each plot.
Following are the results.
Fertilizer A
464
483
441
491
403
466
448
457
437
516
417
420
Fertilizer B
362
414
412
398
382
377
393
Send data
to...
An experiment was conducted see the effect on fertilizer on production of Mameys. H0 : fertilizers...
An experiment was conducted see the effect on fertilizer on
production of Mameys. H0 : fertilizers have no impact on mamey
production. H1 : fertilizers have an impact on mamey production.
There are four treatment (a=4); three types of fertilizer and the
control. Each treatment has four replicates (n=4). The number of
mameys produced is given in the table below.
A. Using these data complete a 1-Way ANOVA
table.
F1: 1, 2, 6, 11
F2: 2, 4, 2, 4
F3:...
Plot Fertilizer A Fertilizer B Fertilizer C 1 563 588 575 2 593 624 593 3...
Plot
Fertilizer A
Fertilizer B
Fertilizer C
1
563
588
575
2
593
624
593
3
542
576
564
4
649
672
653
5
565
583
556
6
587
612
590
7
595
617
607
8
429
446
423
9
500
515
483
10
610
641
626
11
524
547
523
12
559
586
568
13
546
582
551
14
503
530
502
15
550
573
567
16
492
518
495
17
497
529
513
18
619
643
626
19...
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