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Calculate the mean and 90% confidence interval for the data set. Sample Value 8.0626 8.0650 3 8.0583 4 8.0564 8.0571 6. 8.0600 mean: 山T四月@ stv A hulu

Calculate the mean and 90% confidence interval for the data set. Sample Value 8.0626 8.0650 3 8.0583 4 8.0564 8.0571 6. 8.0600 mean: 山T四月@ stv A hulu

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Instructions: Calculating the Mean and 90% Confidence Interval** To calculate the mean and the 90% confidence interval for the given data set, follow these steps: **Data Set:** - Sample 1: 8.0626 - Sample 2: 8.0650 - Sample 3: 8.0583 - Sample 4: 8.0564 - Sample 5: 8.0571 - Sample 6: 8.0600 **Steps for Calculation:** 1. **Calculate the Mean:** The mean is the average of all the sample values. Add all the values together and divide by the number of samples (6). 2. **Calculate the Standard Deviation:** Use the formula for sample standard deviation to measure the amount of variation. 3. **Find the 90% Confidence Interval:** Use the formula for the confidence interval: \[ \text{Confidence Interval} = \text{Mean} \pm (\text{Critical value} \times \text{Standard Error}) \] where the critical value corresponds to the desired confidence level (90% in this case), which can be found in standard Z-tables or t-tables depending on your sample size and information. 4. **Enter the Values:** Input the calculated mean and the confidence interval in the provided fields. This exercise helps reinforce understanding of statistical measures and their application in analyzing data sets.
Transcribed Image Text:**Instructions: Calculating the Mean and 90% Confidence Interval** To calculate the mean and the 90% confidence interval for the given data set, follow these steps: **Data Set:** - Sample 1: 8.0626 - Sample 2: 8.0650 - Sample 3: 8.0583 - Sample 4: 8.0564 - Sample 5: 8.0571 - Sample 6: 8.0600 **Steps for Calculation:** 1. **Calculate the Mean:** The mean is the average of all the sample values. Add all the values together and divide by the number of samples (6). 2. **Calculate the Standard Deviation:** Use the formula for sample standard deviation to measure the amount of variation. 3. **Find the 90% Confidence Interval:** Use the formula for the confidence interval: \[ \text{Confidence Interval} = \text{Mean} \pm (\text{Critical value} \times \text{Standard Error}) \] where the critical value corresponds to the desired confidence level (90% in this case), which can be found in standard Z-tables or t-tables depending on your sample size and information. 4. **Enter the Values:** Input the calculated mean and the confidence interval in the provided fields. This exercise helps reinforce understanding of statistical measures and their application in analyzing data sets.
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