Stratified samples are widely used to study large areas of forest. Based on satellite images, a forest area in the Amazon basin is divided into 14 types. Foresters studied the four most commercially valuable types: alluvial climax forests of quality levels 1, 2, and 3, and mature secondary forest. They divided the area of each type into large parcels, chose parcels of each type at random, and counted tree species in a 20- by 25-meter rectangle randomly placed within each parcel selected. Here is some detail: Forest Type Climax 1 Climax 2 Climax 3 Secondary Sample Size Parcels 36 72 31 42 We want to choose the stratified sample of n = 18 parcels in total. Show your work for the following questions. (i). How many parcels should be sampled from each stratum? (ii). Use the random digits below to select a simple random sample of the size you get from part (i) without replacement within stratum Climax 1. Explain how you assign labels to parcels and which parcels are selected. 69051 64817 87174 09517 84534 06489 87201 97245

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**Stratified Sampling of Forest Areas in the Amazon Basin**

Stratified samples are effective for studying large forest areas. In this study, satellite images revealed a forest area in the Amazon basin divided into 14 types. The focus was on four commercially valuable forest types: alluvial climax forests of quality levels 1, 2, and 3, and mature secondary forest. These areas were divided into parcels at random, with tree species counted in a specified rectangular area within each parcel. Here's the breakdown:

| Forest Type | Parcels | Sample Size |
|-------------|---------|-------------|
| Climax 1    | 36      |             |
| Climax 2    | 72      |             |
| Climax 3    | 31      |             |
| Secondary   | 42      |             |

The goal is to select a stratified sample of \( n = 18 \) parcels. Address the following:

(i). **Parcels to Sample from Each Stratum**:
Determine how many parcels to sample from each forest type (stratum).

(ii). **Random Sample Selection**:
Utilize the following random digits to select a simple random sample of the size determined in part (i), within stratum Climax 1, without replacement. Explain how labels are assigned to parcels, and identify the selected parcels.

Random Digits:  
69051 64817 87174 09517 84534 06489 87201 97245

This exercise demonstrates practical applications of stratified sampling, ensuring diverse representation across different forest types.
Transcribed Image Text:**Stratified Sampling of Forest Areas in the Amazon Basin** Stratified samples are effective for studying large forest areas. In this study, satellite images revealed a forest area in the Amazon basin divided into 14 types. The focus was on four commercially valuable forest types: alluvial climax forests of quality levels 1, 2, and 3, and mature secondary forest. These areas were divided into parcels at random, with tree species counted in a specified rectangular area within each parcel. Here's the breakdown: | Forest Type | Parcels | Sample Size | |-------------|---------|-------------| | Climax 1 | 36 | | | Climax 2 | 72 | | | Climax 3 | 31 | | | Secondary | 42 | | The goal is to select a stratified sample of \( n = 18 \) parcels. Address the following: (i). **Parcels to Sample from Each Stratum**: Determine how many parcels to sample from each forest type (stratum). (ii). **Random Sample Selection**: Utilize the following random digits to select a simple random sample of the size determined in part (i), within stratum Climax 1, without replacement. Explain how labels are assigned to parcels, and identify the selected parcels. Random Digits: 69051 64817 87174 09517 84534 06489 87201 97245 This exercise demonstrates practical applications of stratified sampling, ensuring diverse representation across different forest types.
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