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When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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Textbook Question

Chapter 18, Problem 27E

Speed of light In 1882, Michelson measured the speed of light (usually denoted c as in Einstein’s famous equation E = mc²). His values are in km/sec and have 299,000 subtracted from them. He reported the results of 23 trials with a mean of 756.22 and a standard deviation of 107.12.

a) Find a 95% confidence interval for the true speed of light from these statistics.
b) State in words what this interval means. Keep in mind that the speed of light is a physical constant that, as far as we know, has a value that is true throughout the universe.
c) What assumptions must you make in order to use your method?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 18 Solutions

Intro Stats

Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 2JC Ch. 18.2 - Prob. 3JC Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 5JC Ch. 18.2 - Prob. 6JC Ch. 18 - Salmon A specialty food company sells whole King...Ch. 18 - LSAT The LSAT (a test taken for law school...Ch. 18 - Prob. 3E Ch. 18 - t-models, part II Using the t tables, software, or...

Ch. 18 - t-models, part III Describe how the shape, center,...Ch. 18 - Prob. 6E Ch. 18 - Prob. 7E Ch. 18 - Home sales again In the previous exercise, you...Ch. 18 - Prob. 9E Ch. 18 - Prob. 10E Ch. 18 - Prob. 11E Ch. 18 - Prob. 12E Ch. 18 - Prob. 13E Ch. 18 - Prob. 14E Ch. 18 - Cattle Livestock are given a special feed...Ch. 18 - Prob. 16E Ch. 18 - Meal plan After surveying students at Dartmouth...Ch. 18 - Prob. 18E Ch. 18 - Prob. 19E Ch. 18 - Prob. 20E Ch. 18 - Prob. 21E Ch. 18 - Credit card charges A credit card company takes a...Ch. 18 - 23. Normal temperature The researcher described in...Ch. 18 - Parking Hoping to lure more shoppers downtown, a...Ch. 18 - 25. Normal temperatures, part II Consider again...Ch. 18 - 26. Parking II Suppose that, for budget planning...Ch. 18 - Speed of light In 1882, Michelson measured the...Ch. 18 - Prob. 28E Ch. 18 - Prob. 29E Ch. 18 - Prob. 30E Ch. 18 - Prob. 31E Ch. 18 - Prob. 32E Ch. 18 - Prob. 33E Ch. 18 - Golf balls The United States Golf Association...Ch. 18 - Prob. 35E Ch. 18 - Computer lab fees The technology committee has...Ch. 18 - Marriage In 1960, census results indicated that...Ch. 18 - Prob. 38E Ch. 18 - Prob. 39E Ch. 18 - Prob. 40E Ch. 18 - Prob. 41E Ch. 18 - Prob. 42E Ch. 18 - Prob. 43E Ch. 18 - 44. Yogurt Consumer Reports tested 11 brands of...Ch. 18 - 45. Maze Psychology experiments sometimes involve...Ch. 18 - Prob. 46E Ch. 18 - 47. Driving distance 2011 How far do professional...Ch. 18 - Prob. 48E

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Statistics 4.1 Introduction to Inferential Statistics; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=QLo4TEvBvK4;License: Standard YouTube License, CC-BY

Solution Summary: The author explains the 95% confidence interval for the true speed of light from statistics using the MINITAB software.

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Chapter 18 Solutions