1.7. Refer to information in 1.6 The one-hectare plot has different types of vegetation - shady areas, sunny areas. The researchers want to establish whether the type of vegetation has an influence on the mean height of the flower. They noticed that the two areas are more or less the same size and the plants were spread evenly over the two areas. Recall the assumption of 1200 plants on this 1hectare plot. The researchers decide to investigate the shady and the sunny areas in order to evaluate the mean heights as well record the number of flowering and non-flowering plants. A sample of 20 plants was taken from the sunny area and a sample of 25 from the shady area. The mean heights were 85 mm and 75 mm respectively and variances, 4 and 6 respectively. The

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following steps were undertaken. Show how it applies to this case.
Establish that the plot needs to be divided according to vegetation -strata
●
Identify the different strata i = 1,2,..., l
N₁
Find the weight of each stratum W₂
=
N
•
***
Take a sample from each stratum n₁, №₂,
Find the sample mean of each stratum X₁
,n₂
•
=
I mi
i=1 Xil
ni
●
Find the variance of each stratum
s} =
=7₁-1/²/²1 (X ₁₁ - X₁) ²
Estimate the stratified mean ø = Σ₁=₁ W₁ X, as estimation of the population mean µ.
Estimate the standard error of the stratified mean.
Transcribed Image Text:following steps were undertaken. Show how it applies to this case. Establish that the plot needs to be divided according to vegetation -strata ● Identify the different strata i = 1,2,..., l N₁ Find the weight of each stratum W₂ = N • *** Take a sample from each stratum n₁, №₂, Find the sample mean of each stratum X₁ ,n₂ • = I mi i=1 Xil ni ● Find the variance of each stratum s} = =7₁-1/²/²1 (X ₁₁ - X₁) ² Estimate the stratified mean ø = Σ₁=₁ W₁ X, as estimation of the population mean µ. Estimate the standard error of the stratified mean.
1.7. Refer to information in 1.6 The one-hectare plot has different types of vegetation - shady areas,
sunny areas. The researchers want to establish whether the type of vegetation has an influence on
the mean height of the flower. They noticed that the two areas are more or less the same size and
the plants were spread evenly over the two areas. Recall the assumption of 1200 plants on this
1 hectare plot. The researchers decide to investigate the shady and the sunny areas in order to
evaluate the mean heights as well record the number of flowering and non-flowering plants. A
sample of 20 plants was taken from the sunny area and a sample of 25 from the shady area. The
mean heights were 85 mm and 75 mm respectively and variances, 4 and 6 respectively. The
Transcribed Image Text:1.7. Refer to information in 1.6 The one-hectare plot has different types of vegetation - shady areas, sunny areas. The researchers want to establish whether the type of vegetation has an influence on the mean height of the flower. They noticed that the two areas are more or less the same size and the plants were spread evenly over the two areas. Recall the assumption of 1200 plants on this 1 hectare plot. The researchers decide to investigate the shady and the sunny areas in order to evaluate the mean heights as well record the number of flowering and non-flowering plants. A sample of 20 plants was taken from the sunny area and a sample of 25 from the shady area. The mean heights were 85 mm and 75 mm respectively and variances, 4 and 6 respectively. The
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