5. Statistical Inference

Hypothesis Testing — Quiz

Test your understanding of hypothesis testing with 5 practice questions.

Practice Questions

Question 1

Given that a cereal box is labeled 500 g and a sample of 25 boxes has a mean weight of 495 g, with the consumer suspecting underfilling, how should the null and alternative hypotheses be stated?

Question 2

Consider a sample of $n=64$ measurements with sample mean $\bar x=7.8$ and known population standard deviation $\sigma=1.5$. Test $H_0:\mu=8$ versus $H_a:\mu\neq8$. What is the z‐statistic and two‐tailed p‐value?

Question 3

In a study with $n=16$, sample mean $\bar x=20$, and sample standard deviation $s=2.5$, you want to test $H_0:\mu=18$ versus $H_a:\mu>18$ at $\alpha=0.05$. What is the $t$‐statistic and critical $t$‐value for $df=15$?

Question 4

In hypothesis testing, if the significance level $\alpha$ is increased from 0.01 to 0.10 while holding other factors constant, which of the following is true?

Question 5

Which of the following best defines the power of a hypothesis test?