5. Confidence interval: A psychologist is studying "learning" in rats and wants to determine the overall time required for rats to learn to traverse a maze. She randomly selected 12 rats and found the times they took to be: 5.1, 1.6, 6.8, 2.3, 5.4, 1.8, 2.6, 6.2, 3.6, 3.4, 4.4, 4.8 a. Assuming this data is from a N(µ, σ) distribution where sigma is known to be 3.7, estimate the average time required for rats to learn to traverse this maze with a 90% confidence interval. Report 2 significant figures for the upper and lower bounds of the confidence interval. 5 Problem Set 3 ENVS 25 Spring 2024 b. How would you interpret this confidence interval in words? Make sure your explanation discusses what the interval says about the average time required for rats to learn to traverse the maze and includes both the bounds and the level of confidence. 612

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Question
5. Confidence interval: A psychologist is studying "learning" in rats and wants to determine the overall time
required for rats to learn to traverse a maze. She randomly selected 12 rats and found the times they took to be:
5.1, 1.6, 6.8, 2.3, 5.4, 1.8, 2.6, 6.2, 3.6, 3.4, 4.4, 4.8
a. Assuming this data is from a N(µ, σ) distribution where sigma is known to be 3.7, estimate the average
time required for rats to learn to traverse this maze with a 90% confidence interval. Report 2 significant
figures for the upper and lower bounds of the confidence interval.
5
Problem Set 3
ENVS 25 Spring 2024
b. How would you interpret this confidence interval in words? Make sure your explanation discusses what the
interval says about the average time required for rats to learn to traverse the maze and includes both the
bounds and the level of confidence.
612
Transcribed Image Text:5. Confidence interval: A psychologist is studying "learning" in rats and wants to determine the overall time required for rats to learn to traverse a maze. She randomly selected 12 rats and found the times they took to be: 5.1, 1.6, 6.8, 2.3, 5.4, 1.8, 2.6, 6.2, 3.6, 3.4, 4.4, 4.8 a. Assuming this data is from a N(µ, σ) distribution where sigma is known to be 3.7, estimate the average time required for rats to learn to traverse this maze with a 90% confidence interval. Report 2 significant figures for the upper and lower bounds of the confidence interval. 5 Problem Set 3 ENVS 25 Spring 2024 b. How would you interpret this confidence interval in words? Make sure your explanation discusses what the interval says about the average time required for rats to learn to traverse the maze and includes both the bounds and the level of confidence. 612
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