A Sample of 51 Statistics Students at a Large University

question 56

Multiple Choice

A sample of 51 statistics students at a large university had a mean final exam score of 76 with a standard deviation of 4.Find a 95% confidence interval for the mean final exam score for all statistics students at this university.

• A)(75.6,76.1)
• B)(75.6,76.4)
• C)(79.4,82.6)
• D)(74.9,77.1)
• E)(75.9,76.1)

---

Definitions:

Statistic

A numerical characteristic or measure of a sample extracted from a larger population.

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.