You are conducting a survey of the total credit hours students take each semester at Surry Community College. Historically the population standard deviation is known to be σ = 4.7 semester hours. You have spoken with 53 students so far. How many more students should be included in the sample to be 99% sure the sample mean is within one semester hour of the population mean for all students at this college? Respond to the following discussion questions for this problem: a) State in your own words what this question is asking you to find. b) State the information provided in the problem and how you will use it to find your answer. c) Solve the problem, and state your conclusion within the context of the situation using a complete sentence or sentences.
Introduction
This assignment allows students to analyze the wording within a question to determine what skills are needed and how to apply the current Confidence Interval concepts to solve the question.
This assignment fulfills:
Module Objective 1: You will have calculated and interpreted confidence intervals for a population parameter.
Course Outcome 5: You will have analyzed sample data to draw inferences about a population parameter.
The Prompt
You are conducting a survey of the total credit hours students take each semester at Surry Community College. Historically the population standard deviation is known to be σ = 4.7 semester hours. You have spoken with 53 students so far. How many more students should be included in the sample to be 99% sure the sample mean is within one semester hour of the population mean for all students at this college?
Respond to the following discussion questions for this problem:
a) State in your own words what this question is asking you to find.
b) State the information provided in the problem and how you will use it to find your answer.
c) Solve the problem, and state your conclusion within the context of the situation using a complete sentence or sentences.
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