CB.Stats.DAT-3.G: Interpret the p-value of a significance test for a difference of population means.

Interpret the p-value of a significance test for a difference of population means.

Example Problems

Priya was testing

H_0: \mu = 20

versus

H_a: \mu < 20

with a sample of 12 observations. Her test statistic was

t = -2.228

. Assume that the conditions for inference were met.

What is the approximate P-value for Priya's test?
Round your answer to the nearest thousandth.

Ezra was studying average goals scored per hockey game and was testing

H_0: \mu = 4

versus

H_a: \mu < 4

with a sample of 22 games. His test statistic was

t = -1.78

. Assume that the conditions for inference were met.

What is the approximate P-value for Ezra's test?
Round your answer to the nearest thousandth.

Mateo was testing

H_0: \mu = 5

versus

H_a: \mu \neq 5

with a sample of 9 observations. His test statistic was

t = -2.365

. Assume that the conditions for inference were met.

What is the approximate P-value for Mateo's test?
Round your answer to the nearest thousandth.

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