9
QuizMultiple Choice

Hypothesis Testing — Quiz

Question 9 • Mathematics III

Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2 His sample size is 7 with a mean of 93 point 5 Which of the following correctly depicts the z -statistic for this data?

Answer
A
0 point 3 6
B
1 point 9 8
C
2 point 6 3
D
0 point 2 8

Explanation

Use the z-statistic formula: z = (sample mean − population mean) ÷ (standard deviation ÷ √sample size). Substituting the values gives z = (93.5 − 92) ÷ (2 ÷ √7) ≈ 1.5 ÷ 0.756 ≈ 1.98. Therefore, the correct choice is A, 1.98.

AI-written and checked against the verified answer.

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