Solved the problem below. 1. The depth of a certain lake is measured on 12 different point in its area. The average depth of the lake based on the sample is 48 m with a standard deviation of 2.9 m. Assume that the distribution is normal. a. Find the t- value at 98% confidence interval. b. What is the 98% confidence interval of the mean depth of the whole lake? c. What is the 95% confidence interval of the mean depth of the lake?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solved the problem below. 1. The depth of a certain lake is measured on 12 different point in its area. The average depth of the lake based on the sample is 48 m with a standard deviation of 2.9 m. Assume that the distribution is normal. a. Find the t- value at 98% confidence interval. b. What is the 98% confidence interval of the mean depth of the whole lake? c. What is the 95% confidence interval of the mean depth of the lake?
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