You want to demonstrate that a sample of n = 25 has a different mean than a population where $\sigma$ = 2 and $\mu$= 7. If x̄ = 8, what is the correct decision?
A) Fail to reject the null.
B) Reject the null.
C) Fail to reject the alternative.
D) none of these

Question

Quizplus · Accepted Answer

The sample mean (x̄ = 8) is different from the population mean (μ = 7). With a sample size of n = 25 and a known population standard deviation (σ = 2), you can perform a hypothesis test (e.g., a z-test) to determine if the difference is statistically significant. Given the information, the sample mean is likely significantly different from the population mean, leading to rejecting the null hypothesis.

You Want to Demonstrate That a Sample of N = σ\sigmaσ

You Want to Demonstrate That a Sample of N = $\sigma$