Answer to Question #345112 in Statistics and Probability for sheena

Question

III – Find the approximate p-value given the following information:

1. A two-tailed test; computed t-value = 1.845; df = 10

2. A left-tailed test; computed t-value = 2.295; df = 21

3. A right-tailed test; computed t-value = 1.565; df = 27

4. A two-tailed test; computed t-value = 2.452; df = 12

Answer 1

1.

Two-tailed test: $p-value = 2 \cdot min\{cdf(x) , 1 - cdf(x)\}$

$$p=0.094819$$

2.

Left-tailed: $p-value = cdf(x)$

$$p=0.983932$$

3.

Right-tailed: $p-value = 1-cdf(x)$

$$p=0.983932$$ $$p=0.064615$$

4.

Two-tailed test: $p-value = 2 \cdot min\{cdf(x) , 1 - cdf(x)\}$

$$p=0.030481$$