A research team wants to identify the mean years of education for a population and decides to take a sample from the population. In order to know the range of possible population parameters based on their sample the research team decides to calculate a confidence interval around the theoretical sampling distribution based on their sample. The sample has a mean of 13.5 and a standard error of 1.5 for years of education.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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7. A research team wants to identify the mean years of education for a population and decides
to take a sample from the population. In order to know the range of possible population
parameters based on their sample the research team decides to calculate a confidence
interval around the theoretical sampling distribution based on their sample. The sample has a
mean of 13.5 and a standard error of 1.5 for years of education.
a. What is the upper and lower limit of a 95% confidence interval for this sample? You will need
to use the Cl formula for this question. Show your work.
b. In a statement (1-2 sentences), interpret what this confidence interval means regarding the
population parameters.
Transcribed Image Text:7. A research team wants to identify the mean years of education for a population and decides to take a sample from the population. In order to know the range of possible population parameters based on their sample the research team decides to calculate a confidence interval around the theoretical sampling distribution based on their sample. The sample has a mean of 13.5 and a standard error of 1.5 for years of education. a. What is the upper and lower limit of a 95% confidence interval for this sample? You will need to use the Cl formula for this question. Show your work. b. In a statement (1-2 sentences), interpret what this confidence interval means regarding the population parameters.
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