During a recent year, the mean ACT score for all college bound students had a mean of 24.65 and a standard deviation of 4.01. The director of Stanley Kaplan is interested in knowing whether taking their course causes a difference on ACT scores. She takes a random sample of 444 seniors and finds their mean to be 25.44. Test the null hypothesis at the .05 level of significance.
During a recent year, the mean ACT score for all college bound students had a mean of 24.65 and a standard deviation of 4.01. The director of Stanley Kaplan is interested in knowing whether taking their course causes a difference on ACT scores. She takes a random sample of 444 seniors and finds their mean to be 25.44. Test the null hypothesis at the .05 level of significance.
Given information-
Sample size, n = 444
Population mean, µ = 24.65
Population standard deviation, σ = 4.01
Sample mean, x-bar = 25.44
Significance level, α = 0.05
We have to test the claim that whether taking their course causes a difference on ACT scores.
Hypothesis Formulation-
Null Hypothesis, H0: μ = 24.65
Alternate Hypothesis, Ha: μ ≠ 24.65
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