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Chapter 4: Q9P (page 92)
What is the meaning of a confidence interval?
Thus, the specific probability, an interval that contains the accepted/true value (confidence level).
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(a) The linear calibration curve in Figure 4-13 iswith. Find the quantity of unknown protein that gives a measured absorbance of when a blank has an absorbance of 0.095
(b) Figure 4-13 has n=14 calibration points in the linear portion. You measure k=14replicate samples of unknown and find a mean corrected absorbance of 0.169 Find the standard uncertainty and 95%confidence interval for protein in the unknown.
If the manufacturer will replace bulbs that burn out in less than 620 hours, how many extras should she make?
Now we use a built-in routine in Excel for the paired t test to see if the two methods in Problem 4-15 produce significantly different results. Enter the data for Methods 1 and 2 into two columns of a spreadsheet. For Excel 2007 and 2010, find Data Analysis in the Data ribbon. If Data Analysis does not appear, follow the instructions at the beginning of Section 4-5 to load this software. Select Data Analysis and then select t-Test: Paired Two Sample for Means. Follow the instructions of Section 4-5 and the routine will print out information including (labeled "tStat")(labeled " t Critical two-tail"). You should reproduce the results of Problem 4-15.
Here are mass spectrometric signals for methane in:
(a) Subtract the blank value (9.1) from all other values. Then use the method of least squares to find the slope and intercept and their uncertainties. Construct a calibration curve.
(b) Replicate measurements of an unknown gave 152.1, 154.9, 153.9 and 155.1mV , and a blank gave 8.2,9.4,10.6 and 7.8mV . Subtract the average blank from the average unknown to find the average corrected signal for the unknown.
(c) Find the concentration of the unknown, its standard uncertainty , and the95%confidence interval.
(a) Calculate the fraction of bulbs in Figure 4 - 1 expected to have a lifetime greater than 1005.3h.
(b) What fraction of bulbs is expected to have a lifetime between 798.1 and 901.7h?
(c) Use the Excel NORMDIST function to find the fraction of bulbs expected to have a lifetime between 800and 900h.
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