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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with this problem. show steps how to do from a to f.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f6272ad-1a25-4a67-b389-4d6bf92e8dd2%2F23886430-bc5e-4781-9aad-50ed680c948a%2Fu1o1fta_processed.png&w=3840&q=75)
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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