Question
Do not write a full report. Just state each hypothesis, test it, draw a conclusion. You can write directly on the R sheet, as long as you make it easy to follow.
2. The treatments are the blades, and the blocks are the types of wood. You are interested in answering the question of whether or not the mean cutting time is the same for all blades. Check assumptions.
Again, do not write a full report. Just state each hypothesis, test it, draw a conclusion. You can write directly on the R sheet, as long as you make it easy to follow.
Background info: pine is the softest wood, and Kauri is the hardest. Jarrah is close to Kauri, but not quite as hard.
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Solution:Purpose:
We want to see whether different cultivar has same mean yield or not.
Null and Alternative Hypotheses:
Null Hypothesis (Ho): There is no statistically significant difference in the population mean yield of different cultivar.
Alternative Hypothesis (Ha): There is a statistically significant difference in the population mean yield of different cultivar, at least one cultivar is different from another.
Mathematically;
Null Hypothesis (Ho): µ1 = µ2 = µ3 = µ4 = µ5 = µ6
Alternative Hypothesis (Ha): µi ≠ µj for some i ≠j
Level of significance = 0.05
Data:
production cultivar
1 1611 Wairau
2 1757 Wairau
3 1964 Wairau
4 2444 Wairau
5 1586 Caliverde
6 3071 Caliverde
7 2565 Caliverde
8 1547 Caliverde
9 1041 Ranger
10 3857 Ranger
11 934 Ranger
12 856 Ranger
13 1079 Vernal
14 2172 Vernal
15 539 Vernal
16 1310 Vernal
17 989 Dawson
18 1922 Dawson
19 455 Dawson
20 474 Dawson
21 2923 Kanza
22 5947 Kanza
23 3713 Kanza
24 2319 Kanza
Assumptions:
- Each group sample is drawn from a normally distributed population which is true in our case.
- All populations have a common variance.
- All samples are drawn independently of each other which is satisfied in our case.
- Within each sample, the observations are sampled randomly and independently of each other...
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