2. We want to test whether the prneral average of students in Math different from $$ 80 \% $$. $$ \qquad $$ Ha: $$ \mathrm{Ha}_{\mathrm{a}} $$ 3. We want toltest whether the mean height of Grade 8 atudents is 58 inches. $$ \qquad $$ $$ \mathrm{H}_{6} \text { ? } $$ $$ H_{a}: $$ 4. We want to test if LPIHS students taice more than four years to gesodus from high schpol, on the average.

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Let's define the null hypothesis ($$H_0$$) and the alternative hypothesis ($$H_a$$) for each of the scenarios provided.
For the first scenario, we want to test whether the general average of students in Math is different from $$80\%$$.

- Null Hypothesis ($$H_0$$): The average is equal to $$80\%$$ (i.e., $$ \mu = 80\%$$).
- Alternative Hypothesis ($$H_a$$): The average is not equal to $$80\%$$ (i.e., $$ \mu 
eq 80\%$$). 
For the second scenario, we want to test whether the mean height of Grade 8 students is $$58$$ inches.

- Null Hypothesis ($$H_0$$): The mean height is equal to $$58$$ inches (i.e., $$ \mu = 58$$).
- Alternative Hypothesis ($$H_a$$): The mean height is not equal to $$58$$ inches (i.e., $$ \mu 
eq 58$$). 
For the third scenario, we want to test if LPIHS students take more than four years to graduate from high school, on average.

- Null Hypothesis ($$H_0$$): The average graduation time is less than or equal to four years (i.e., $$ \mu \leq 4$$).
- Alternative Hypothesis ($$H_a$$): The average graduation time is greater than four years (i.e., $$ \mu > 4$$). 
1. Math Average: - $$H_0: \mu = 80\%$$ - $$H_a: \mu 
eq 80\%$$ 2. Mean Height of Grade 8 Students: - $$H_0: \mu = 58$$ - $$H_a: \mu 
eq 58$$ 3. Average Graduation Time for LPIHS Students: - $$H_0: \mu \leq 4$$ - $$H_a: \mu > 4$$

We want to test whether the prneral average of students in Math different from .

Ha:

We want toltest whether the mean height of Grade 8 atudents is 58 inches.

We want to test if LPIHS students taice more than four years to gesodus from high schpol, on the average.

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We want to test whether the prneral average of students in Math different from . Ha: We want toltest whether the mean height of Grade 8 atudents is 58 inches. We want to test if LPIHS students taice more than four years to gesodus from high schpol, on the average.