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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