An experiment was conducted to evaluate the number of stems per hectare of a pine variety (Pinus strobus) in two different locations The number of stems were randomly obtained from different plots in each location. Data is shown below. Calculate the pooled varianc (spool of this experiment (round to the nearest hundredth). DATA Mean Variance n Location A 1091 stems 147.5 (stems)2 18 Location B 882 stems 107.2 (stems) 2 8
An experiment was conducted to evaluate the number of stems per hectare of a pine variety (Pinus strobus) in two different locations The number of stems were randomly obtained from different plots in each location. Data is shown below. Calculate the pooled varianc (spool of this experiment (round to the nearest hundredth). DATA Mean Variance n Location A 1091 stems 147.5 (stems)2 18 Location B 882 stems 107.2 (stems) 2 8
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Experiment on Pine Variety Stems Per Hectare**
An experiment was conducted to evaluate the number of stems per hectare of a pine variety (*Pinus strobus*) in two different locations. The number of stems was randomly obtained from different plots in each location.
**Data Summary:**
| Metric | Location A | Location B |
|-------------|---------------|---------------|
| Mean | 1091 stems | 882 stems |
| Variance | 147.5 (stems)²| 107.2 (stems)²|
| n (sample size) | 18 | 8 |
The objective is to calculate the pooled variance \( s_p^2 \) of this experiment, rounding to the nearest hundredth.
This data is vital for understanding the growth characteristics of *Pinus strobus* in varying environmental conditions, contributing to ecological and forestry management practices.
![**Transcription for Educational Website**
**Experiment Overview:**
An experiment was conducted to evaluate the effectiveness of a new veterinary product for dogs. Animals were randomly assigned to two groups. Dogs in treatment group A received the new product (n = 10), while control dogs in treatment group B received a placebo (n = 12). At the experiment’s end, all dogs were weighed, and the following data were collected:
**Data Table:**
| | Trt A | Trt B |
|----------|-------|-------|
| Mean (x̄) | 68.24 | 63.07 |
| Variance (S²) | 2.20 | 8.17 |
| n | 10 | 12 |
**Evaluate:**
1. **Null Hypothesis (H0):** µA = µB
**Alternative Hypothesis (HA):** µA ≠ µB
2. **Questions:**
1. What is the calculated "t" statistic? (Round to the nearest hundredth; place the absolute value of "t" in the box below)
2. Given your "t" calculated, indicate if you are going to reject (R) or fail to reject (FR) the null hypothesis using an alpha = 0.10 (R/FR, place your answer right beside the calculated "t" statistic. Do not leave a space between the two answers). Full credit will be given only if 1 and 2 are correct.
**Question 4:**
[Note: This is left blank for user input.]
**Graph/Diagram:**
There are no graphs or diagrams included in the provided document.
**Instructions:**
Click "Save and Submit" to save and submit your answers. Click "Save All Answers" to store all responses before final submission.
**Additional Notes:**
Ensure accurate calculations to determine if the new product has a significant effect compared to the placebo. Use the provided means, variances, and sample sizes for your statistical computation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61a624e8-9805-4882-bd7c-8b439f9ba0a9%2F583bacd2-e24c-4711-803f-7c2aaa5573de%2Fxr5o8z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Experiment Overview:**
An experiment was conducted to evaluate the effectiveness of a new veterinary product for dogs. Animals were randomly assigned to two groups. Dogs in treatment group A received the new product (n = 10), while control dogs in treatment group B received a placebo (n = 12). At the experiment’s end, all dogs were weighed, and the following data were collected:
**Data Table:**
| | Trt A | Trt B |
|----------|-------|-------|
| Mean (x̄) | 68.24 | 63.07 |
| Variance (S²) | 2.20 | 8.17 |
| n | 10 | 12 |
**Evaluate:**
1. **Null Hypothesis (H0):** µA = µB
**Alternative Hypothesis (HA):** µA ≠ µB
2. **Questions:**
1. What is the calculated "t" statistic? (Round to the nearest hundredth; place the absolute value of "t" in the box below)
2. Given your "t" calculated, indicate if you are going to reject (R) or fail to reject (FR) the null hypothesis using an alpha = 0.10 (R/FR, place your answer right beside the calculated "t" statistic. Do not leave a space between the two answers). Full credit will be given only if 1 and 2 are correct.
**Question 4:**
[Note: This is left blank for user input.]
**Graph/Diagram:**
There are no graphs or diagrams included in the provided document.
**Instructions:**
Click "Save and Submit" to save and submit your answers. Click "Save All Answers" to store all responses before final submission.
**Additional Notes:**
Ensure accurate calculations to determine if the new product has a significant effect compared to the placebo. Use the provided means, variances, and sample sizes for your statistical computation.
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