The mean height of a certain kind of plant is 167 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 167. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The mean height of a certain kind of plant is 167 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 167. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that we would use for this test.

**Hypotheses:**

\( H_0: \)  
\( H_1: \)  

**Symbols and Operators:**

The diagram on the right shows a selection of statistical symbols and operators. These include:

- \( \mu \): Population mean
- \( \overline{x} \): Sample mean
- \( p \): Population proportion
- \( \hat{p} \): Sample proportion
- \( \sigma \): Population standard deviation
- \( s \): Sample standard deviation

Operators for constructing expressions include:

- \( = \): Equals
- \( \neq \): Not equal to
- \( < \): Less than
- \( > \): Greater than

The task requires selecting the appropriate symbols and operators to fill in the hypotheses for testing the effect of the chemical treatment on plant height.
Transcribed Image Text:The mean height of a certain kind of plant is 167 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 167. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that we would use for this test. **Hypotheses:** \( H_0: \) \( H_1: \) **Symbols and Operators:** The diagram on the right shows a selection of statistical symbols and operators. These include: - \( \mu \): Population mean - \( \overline{x} \): Sample mean - \( p \): Population proportion - \( \hat{p} \): Sample proportion - \( \sigma \): Population standard deviation - \( s \): Sample standard deviation Operators for constructing expressions include: - \( = \): Equals - \( \neq \): Not equal to - \( < \): Less than - \( > \): Greater than The task requires selecting the appropriate symbols and operators to fill in the hypotheses for testing the effect of the chemical treatment on plant height.
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