Distribution to test the difference of means


Consider use of a Student's t distribution to test the difference of means for independent populations using random samples of sizes n1 and n2.

Is the P-value smaller for larger degrees of freedom? How might a larger P-value impact the significance of a test?

A. No, the P-value is larger for larger degrees of freedom. Using a larger P-value might result in significance, whereas a smaller P-value might mean that the test is not significant.

B. No, the P-value is larger for larger degrees of freedom. Using a larger P-value might mean that the test is not significant, whereas a smaller P-value might result in significance.

C. Yes, the P-value is smaller for larger degrees of freedom. Using a larger P-value might mean that the test is not significant, whereas a smaller P-value might result in significance.

D. Yes, the P-value is smaller for larger degrees of freedom. Using a larger P-value might result in significance, whereas a smaller P-value might mean that the test is not significant.

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Basic Statistics: Distribution to test the difference of means
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