Study

My sample size of 80 was obtained when the names of all the juniors and seniors at North Olmsted High School, which is the population, were inputted into MiniTab and then 80 names were randomly chosen. Then a survey that asked about grade, gender, and ACT Score (if taken) was sent out to the random sample of 80 students.

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µ = average ACT score.

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Ho:  µ ≠ 24.25 (Average ACT score of females is not greater than males.)

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Ha:  µ > 24.25 (Average ACT score of females is greater than males.)

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α = 0.05

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Assumptions: Independent random sample, expected cell counts are 5 or more.

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Eq1401.jpg (4619 bytes)= 128.562

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p-value = 0.0000

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Conclusion: We reject the null hypothesis at the 0 .05 level of significance because the p-values < α. Therefore, there is sufficient evidence to say that the true mean scores of females is not greater than males.