The mean height of a certain kind of plant is 172 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 172. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. H: 0 O
The mean height of a certain kind of plant is 172 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 172. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. H: 0 O
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![### Hypothesis Testing for Plant Mean Height
The mean height of a certain kind of plant is 172 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 172. State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) that we would use for this test.
#### Null Hypothesis ( \(H_0\) ):
\(H_0: \mu = 172\)
#### Alternative Hypothesis ( \(H_1\) ):
\(H_1: \mu \neq 172\)
##### Explanation:
- **Null Hypothesis ( \(H_0\) ):** This hypothesis assumes that there is no change in the mean height of the plants when treated with the certain chemical, i.e., the mean height is equal to 172 centimeters.
- **Alternative Hypothesis ( \(H_1\) ):** This hypothesis suggests that the mean height of the plants when treated with the chemical is different from 172 centimeters, indicating an effect of the chemical treatment.
#### Graphical Representation:
There are no specific graphs or diagrams provided in the image. The image is essentially focused on setting up the hypotheses for the hypothesis test.
**Continue Button:**
There is a 'Continue' button at the bottom left corner, indicating the option to proceed to the next step after setting up the hypotheses.
This setup is a standard approach in hypothesis testing where we compare the sample mean to the historical mean to determine if there is a significant difference, suggesting an effect due to treatment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43ea54d5-bb78-413a-8bda-c29f678bdd37%2Ff65c5acf-a35e-40c9-943e-4200cfe2dba7%2F2mm6k7p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing for Plant Mean Height
The mean height of a certain kind of plant is 172 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 172. State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) that we would use for this test.
#### Null Hypothesis ( \(H_0\) ):
\(H_0: \mu = 172\)
#### Alternative Hypothesis ( \(H_1\) ):
\(H_1: \mu \neq 172\)
##### Explanation:
- **Null Hypothesis ( \(H_0\) ):** This hypothesis assumes that there is no change in the mean height of the plants when treated with the certain chemical, i.e., the mean height is equal to 172 centimeters.
- **Alternative Hypothesis ( \(H_1\) ):** This hypothesis suggests that the mean height of the plants when treated with the chemical is different from 172 centimeters, indicating an effect of the chemical treatment.
#### Graphical Representation:
There are no specific graphs or diagrams provided in the image. The image is essentially focused on setting up the hypotheses for the hypothesis test.
**Continue Button:**
There is a 'Continue' button at the bottom left corner, indicating the option to proceed to the next step after setting up the hypotheses.
This setup is a standard approach in hypothesis testing where we compare the sample mean to the historical mean to determine if there is a significant difference, suggesting an effect due to treatment.
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