You collect a sample of n = 16 and want to know if the sample is significantly smaller than the population. If $\sigma$ is unknown and $\alpha$ = .05, what is the appropriate critical value?
A) -1.645
B) -1.960
C) -1.753
D) -1.746

Question

Quizplus · Accepted Answer

Since the population standard deviation is unknown and the sample size is small (n = 16), a t-distribution should be used. For a one-tailed test with α = 0.05 and 15 degrees of freedom (n-1), the critical t-value is approximately -1.753.

You Collect a Sample of N = 16 and Want σ\sigmaσ

You Collect a Sample of N = 16 and Want $\sigma$