-g + 2(3 + g) = -419 + 1) What is the solution
2 answers:
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Answer:
Correct options is (A).
Step-by-step explanation:
A (1 - <em>α</em>)% confidence interval can be constructed to determine whether there is any difference between the average GPA of seniors and the average GPA of sophomores.
The hypothesis can be defined as:
<em>H₀</em>: There is no difference between the average GPA of seniors and the average GPA of sophomores, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.
<em>Hₐ</em>: There is a difference between the average GPA of seniors and the average GPA of sophomores, i.e. <em>μ</em>₁ - <em>μ</em>₂ ≠ 0.
The (1 - <em>α</em>)% confidence interval for the difference between two means is:
Decision rule:
If the confidence interval contains the mull value, i.e. 0, then the null hypothesis will be failed to be rejected and vice-versa.
The 95% confidence interval for the difference between the true average GPAs (seniors - sophomores) is (0.53, 1.61).
The 95% confidence interval dos not contains 0. Thus, the null hypothesis will be rejected.
Conclusion:
There is a significant difference between the average GPA of seniors and the average GPA of sophomores.
The 95% confidence interval for the difference between the true average GPAs (0.53, 1.61), implies that there is a 95% confidence that the average GPA of seniors is greater than the average GPA of sophomores.
Thus, the correct options is (A).