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Directions: Determine if one-tailed test or two-tailed test fits the given
alternative hypothesis.
  1. The mean height of Grade 12 students is less than 66 inches.
  2. The standard deviation of their height is not equal to 5 inches.
  3. Male Grade 7 and Grade 12 students differ in height on average.
  4. The proportion of senior male students’ height is significantly higher than
    that of senior female students.
  5. The average grade of Grade 11 students in Statistics is lower than their
    average grade in Calculus.

Ask by Valdez Franklin. in the Philippines
Mar 29,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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  1. One-tailed (left-tailed)
  2. Two-tailed
  3. Two-tailed
  4. One-tailed (right-tailed)
  5. One-tailed (left-tailed)

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Extra Insights

For the first hypothesis, you’re looking at whether the mean height is less than a specific value, which clearly points to a one-tailed test. By contrast, the second hypothesis tests if the standard deviation is different from a particular value, which means you want to capture deviations on both sides, indicating a two-tailed test.
Moving on to the third statement, it suggests a comparison of heights, with no direction specified—this makes it a two-tailed test as you’re looking for any significant difference. Meanwhile, in the fourth hypothesis, since you are only interested in whether one group’s height is higher than the other, this is a one-tailed test. Lastly, for the fifth hypothesis, since you’re assessing if one average is lower than another, it also qualifies as a one-tailed test.

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