A College Admissions Officer Takes a Simple Random Sample of 60

question 36

Multiple Choice

A college admissions officer takes a simple random sample of 60 entering freshmen and computes their mean mathematics SAT score to be 439. Assume the population standard deviation is $\sigma = 117$ Based on a 98% confidence interval for the mean mathematics SAT score, is it likely that the mean
Mathematics SAT score for entering freshmen class is greater than 456? (Hint: you should first
Construct the 98% confidence interval for the mean mathematics SAT score.)

• A) No
• B) The likelihood cannot be determined.
• C) Yes

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Definitions:

Percent Equivalents

Representations of fractions or ratios as percentages, useful for comparing proportions.

Evaluate

To assess or determine the value, significance, or condition of something typically in a detailed and systematic way.

Evaluate

The process of examining something to determine its value or worth, often in a careful and systematic way.

Accurate

Characterized by correctness and precision; free from errors or mistakes.