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1. A student performed an experiment to measure the concentration of calcium ion (Ca*) i seawater. They performed the experiment six times and obtained the following data: Trial Concentration (ppm) 1 408

1. A student performed an experiment to measure the concentration of calcium ion (Ca*) i seawater. They performed the experiment six times and obtained the following data: Trial Concentration (ppm) 1 408

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Confidence Intervals and Q-Test 1. A student performed an experiment to measure the concentration of calcium ion (Ca*) in seawater. They performed the experiment six times and obtained the following data: Trial Concentration (ppm) 1 408 2 435 3 412 4 406 411 6. 415 a. Calculate the average concentration of Ca* in seawater as determined by the data. b. Calculate the standard deviation of the data. c. What value should be used for the degrees of freedom? According to the Student's t-table, what value of t should be used to calculate the 95% confidence interval? d. Calculate the 95% confidence interval for the average concentration. Report the average concentration of Ca* in seawater with the 95% confidence interval. Be sure to use the correct number of significant figures. e. The student suspects that Trial 2 is an outlier in the data. Perform a Q-test and determine if Trial 2 can be excluded from the data with 95% confidence. f. If the Q-test confirms that Trial 2 is an outlier, recalculate the average concentration and 95% confidence interval with Trial 2 excluded.
Transcribed Image Text:Confidence Intervals and Q-Test 1. A student performed an experiment to measure the concentration of calcium ion (Ca*) in seawater. They performed the experiment six times and obtained the following data: Trial Concentration (ppm) 1 408 2 435 3 412 4 406 411 6. 415 a. Calculate the average concentration of Ca* in seawater as determined by the data. b. Calculate the standard deviation of the data. c. What value should be used for the degrees of freedom? According to the Student's t-table, what value of t should be used to calculate the 95% confidence interval? d. Calculate the 95% confidence interval for the average concentration. Report the average concentration of Ca* in seawater with the 95% confidence interval. Be sure to use the correct number of significant figures. e. The student suspects that Trial 2 is an outlier in the data. Perform a Q-test and determine if Trial 2 can be excluded from the data with 95% confidence. f. If the Q-test confirms that Trial 2 is an outlier, recalculate the average concentration and 95% confidence interval with Trial 2 excluded.
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