Suppose a Random Sample of 25 Students Is Selected from a Community

question 103

Short Answer

Suppose a random sample of 25 students is selected from a community college where the scores in the final exam (out of 125 points) are normally distributed, with mean equal to 112 and standard deviation equal to 12.
What is the mean of the sampling distribution of the sample mean ?
______________
What is the standard deviation?
______________
Find the probability that exceeds 116.
______________
Find the probability that the sample mean deviates from the population mean = 112 by no more than 4.
______________

---

Definitions:

Farming Business

An enterprise engaged in the cultivation of crops and/or the raising of animals for the purpose of producing food, fiber, and other agricultural products.

Chapter 12

A bankruptcy provision designed for "family farmers" or "family fishermen" to devise a plan to repay all or part of their debts.

Financial Year

A period used for calculating annual financial statements in businesses and other organizations, often stretching over a 12-month period but not necessarily aligning with the calendar year.

Chapter 13 Provisions

Regulations under Chapter 13 of the U.S. Bankruptcy Code allowing individuals with a regular income to create a plan to repay all or part of their debts.