3. A farmer cultivates chillies in two separate fields. When the chillies are ready to be picked, the farmer needs to check whether the heights of the plants differ between two fields. A random sample of plants from each field as taken and the heights were measured. The summary of the results are as below: Field 1 Field 2 Mean Standard deviation Number of plants 0.7 m 0.9 m 0.3 m 0.2 m 32 34 2 Can the farmer infer that the plants differ in the two fields at 5% significant level? Consider that the data are Nomally distributed.

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3. A farmer cultivates chillies in two separate fields. When the chillies are ready to be picked,
the farmer needs to check whether the heights of the plants differ between two fields. A
random sample of plants from each field as taken and the heights were measured. The
summary of the results are as below:
Field 1
Field 2
Mean
Standard deviation
Number of plants
0.7 m
0.9 m
0.3 m
0.2 m
32
34
2
Can the farmer infer that the plants differ in the two fields at 5% significant level? Consider that
the data are Nomally distributed.
Transcribed Image Text:3. A farmer cultivates chillies in two separate fields. When the chillies are ready to be picked, the farmer needs to check whether the heights of the plants differ between two fields. A random sample of plants from each field as taken and the heights were measured. The summary of the results are as below: Field 1 Field 2 Mean Standard deviation Number of plants 0.7 m 0.9 m 0.3 m 0.2 m 32 34 2 Can the farmer infer that the plants differ in the two fields at 5% significant level? Consider that the data are Nomally distributed.
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