3
QuizMultiple Choice

Hypothesis Testing — Quiz

Question 3 • Algebra II

Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20 His sample data has a mean of 295 and a sample size of 50 Which of the following correctly depicts the z -statistic for Brett’s data?

Answer
A
4 point 2 8
B
negative 0 point 1 1
C
negative 5 point 3 0
D
6 point 2 7

Explanation

Use the z-statistic formula: z = (sample mean − population mean) ÷ (population standard deviation ÷ √sample size). Substituting Brett’s values gives z = (295 − 310) ÷ (20 ÷ √50) ≈ −15 ÷ 2.83 ≈ −5.30. The correct choice is negative 5.30.

AI-written and checked against the verified answer.

Previous
Next