13
QuizMultiple Choice

Hypothesis Testing — Unit test

Question 13 • CREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.250.59870.350.63680.450.67361.000.84131.260.89611.350.91151.360.9131

Answer
A
9%
B
24%
C
59%
D
91%

Explanation

Convert each score to a z-score using z = (score − mean) / standard deviation. For 350, z = (350 − 500) / 110 ≈ −1.36; for 550, z = (550 − 500) / 110 ≈ 0.45. The probability between them is 0.6736 − (1 − 0.9131) = 0.5867, or about 59%. The correct choice is C, 59%.

AI-written and checked against the verified answer.

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