Question

In: Statistics and Probability

A spectrometer was used to make five measurements of the carbon content (in ppb) of a...

A spectrometer was used to make five measurements of the carbon content (in ppb) of a certain silicon wafer on four consecutive days. The results are as follows:

Day 1:             358      390      380      372      366

Day 2:             373      376      413      367      368

Day 3:             336      360      370      368      352

Day 4:             368      359      351      349      343

  1. Construct an ANOVA table, you can give a range for the P-value.
  2. Can you conclude that the calibration of the spectrometer differs among the four days?

Solutions

Expert Solution

We have the following dataset of the measurements of the carbon content of a certain silicon wafer of 4 consecutive days as below:

Now we are going to use Microsoft excel for analysis of variance using below steps.

From above steps we get the following ANOVA Table .

Here P value is less than 0.05 at 5% level of significance.

Hence our null hypothesis is rejected.

Hence we can conclude that calibration of spectrometer differs among the four days.


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