A Random Sample of 64 SAT Scores of Students Applying

question 75

Multiple Choice

A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240. The 95% confidence interval for the population mean SAT score is

• A) 1340.06 to 1459.94.
• B) 1341.20 to 1458.80.
• C) 1349.93 to 1450.07.
• D) 1320.32 to 1479.68.

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Definitions:

Student T Distributed

A probability distribution used in statistical analysis when the sample size is small and the population variance is unknown.

Randomly Selected

A method of selection that ensures each item or person has an equal chance of being chosen, aiming to eliminate bias.

T-Distribution

A type of probability distribution that is symmetric and bell-shaped but with heavier tails, used especially in small sample sizes.

Degrees Of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution, typically influencing the shape of the distribution.