Testing $H_0: \mu = 50$ against $H_1: \mu > 50$ at the 5% level on a sample of 16, the computed $t$ is 1.9. The one-tailed critical value for 15 degrees of freedom is 1.753. What is the decision?

Do not reject

H_0

, since 1.9 is less than 2Correct answerYour answerReject

H_0

: the mean is less than 50Correct answerYour answerNo decision is possible with a one-tailed testCorrect answerYour answerReject

H_0

: the mean is greater than 50Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

For $H_1: \mu > 50$ , reject $H_0$ when $t$ is greater than the one-tailed critical value.
$1.9 > 1.753$ , so reject $H_0$ in favour of $\mu > 50$ .

Worth noting

The '2' rule of thumb is for two-tailed tests at 5%; a one-tailed test has its own, smaller critical value.

Ten questions from Sampling, Inference & the t-Test, at your own pace.

Testing H0:μ=50H_0: \mu = 50H0​:μ=50 against H1:μ>50H_1: \mu > 50H1​:μ>50 at the 5% level on a sample of 16, the computed ttt is 1.9. The one-tailed critical value for 15 degrees of freedom is 1.753. What is the decision?