A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct interpretations for your results. Select BOTH correct answers. Hint: Read each option CAREFULLY! A. There IS a significant difference (p = 0.56) in mean aptitude scores across the three different fitness groups (FitGroup1: M = 101.86, SD = 25.87; FitGroup2: M = 120.57, SD = 34.39; FitGroup3: M = 109, SD = 43.84). B. The actual probability (p) of obtaining another sample of police academy recruits with differences in mean aptitude scores between Fitness Groups 1, 2, & 3 as extreme as those observed in the current sample is (p = 0.56), which is approximately 56%, meaning this result is highly un-likely to occur if the null hypothesis is true. C. The actual probability (p) of obtaining another sample of police academy recruits with differences in mean aptitude scores between Fitness Groups 1, 2, & 3 as extreme as those observed in the current sample is (p = 0.56), which is approximately 56%, meaning this result is highly likely to occur if the null hypothesis is true. D. There is NO significant difference (p = 0.56) in mean aptitude scores across the three different fitness groups (FitGroup1: M = 101.86, SD = 25.87; FitGroup2: M = 120.57, SD = 34.39; FitGroup3: M = 109, SD = 43.84
A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups.
Identify the correct interpretations for your results. Select BOTH correct answers. Hint: Read each option CAREFULLY!
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A.
There IS a significant difference (p = 0.56) in mean aptitude scores across the three different fitness groups (FitGroup1: M = 101.86, SD = 25.87; FitGroup2: M = 120.57, SD = 34.39; FitGroup3: M = 109, SD = 43.84).
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B.
The actual probability (p) of obtaining another sample of police academy recruits with differences in mean aptitude scores between Fitness Groups 1, 2, & 3 as extreme as those observed in the current sample is (p = 0.56), which is approximately 56%, meaning this result is highly un-likely to occur if the null hypothesis is true.
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C.
The actual probability (p) of obtaining another sample of police academy recruits with differences in mean aptitude scores between Fitness Groups 1, 2, & 3 as extreme as those observed in the current sample is (p = 0.56), which is approximately 56%, meaning this result is highly likely to occur if the null hypothesis is true.
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D.
There is NO significant difference (p = 0.56) in mean aptitude scores across the three different fitness groups (FitGroup1: M = 101.86, SD = 25.87; FitGroup2: M = 120.57, SD = 34.39; FitGroup3: M = 109, SD = 43.84). |
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