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Chapter 4: Q8P (page 92)

Repeat Problem 4-7 but use the values 50, 100, and 150 for the standard deviation. Superimpose all three curves on a single graph.

Short Answer

Expert verified

All three curves are plotted on the same graph. The graph is displayed below.

Step by step solution

01

Definition of standard deviation

The standard deviation (SD), like the average deviation, is a measure of spread around the mean.
Standard deviation is defined as the average deviation of data from the mean.

02

The required data for graph drawing are shown in table below.

In the table below, you'll find the information you'll need to create a graph.

Column C is for standard deviation 50

Column D is for standard deviation 100

Column E is for standard deviation 150

03

Plot the graph for light bulbs

All three curves are plotted on the same graph. The graph is displayed below.

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Most popular questions from this chapter

Use Table 4 - 1 for this exercise. Suppose that the mileage at which 10000sets of automobile brakes had been worn through was recorded. The average was 62700, and the standard deviation was 10400miles.

(a) What fraction of brakes is expected to be 80% worn in less than 45800miles?

(b) What fraction is expected to be80%worn at a mileage between 60000and 70000miles?

If the difference between the two mean values were half as great as Rayleigh found, but the standard deviation were unchanged, would the difference still be significant?

If each of the four numbers 821,783,834,and855in the example is divided by 2, how will the mean, standard deviation, and coefficient of variation be affected?

calibration curve based on $n = 10$ known points was used to measure the protein in an unknown. The results were protein $= 15 . 2_{2} (\pm 0 . 4_{6}) μg$ , where the standard uncertainty is $u_{x} = 0 . 4_{6} μg$ . Find the90%and 99%confidence intervals for protein in the unknown.

(a) The linear calibration curve in Figure 4-13 is $y = 0 . 0163_{0}$ $(\pm 0 . 0002_{2}) x + 0 . 004_{7} (\pm 0 . 002_{6})$ with $s_{y} = 0 . 005_{9}$ . 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.

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