SOLUTION: Distance C was measured 7 times with one measuring device and 7 times with another measuring device. The measurement results (in meters) are as follows: 1. Measuring device 1: 2

Question 1205590: Distance C was measured 7 times with one measuring device and 7 times with another measuring device. The measurement results (in meters) are as follows:
1. Measuring device 1: 200 201 200 200 199 200 200
2. Measuring device 2: 201 200 198 202 202 200 201
1) Test whether the variances can be considered equal with a probability of 0.95.
2) Test whether the measurement results differ significantly with a probability of 0.95.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the f test is used to determine if the variances of the two populations are considered to be equal.

the f test was conducted using the calculator at https://www.statskingdom.com/220VarF2.html

the results indicate that the variances of the two populations are not considered to be equal.

here are the results.

inputs:

results:

there is lots more information on the website where the calculator resides.

you are encouraged to run the test yourself to see all of the results and to review the additional information provided.

with a confidence interval of .95, the results of the test are considered significant, leading to the conclusion that the variances between the two data sets are not equal.

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