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Chapter 0: Q4-4 TY (page 1)

If there had beenn=13replications in both data sets, would the difference in standard deviations be significant?

Short Answer

Expert verified

Here,Fcalculated=2.82>Ftable=2.69..

Hence, the differences in the standard deviation of the two given sets are significant.

Step by step solution

01

F test

F-test:Fcalculated=S12Z22

02

Using F-test

The number of replications in both data sets,

Using Table 4-2, we know that,

F-Test:

On considering larger a larger standard deviation in the numerator, we. We have:,

s1=0.47s1=0.28

Using F-test, theF is calculated as follows:,

role="math" localid="1663326924581" Fcalculated=s12s21=0.4720.282=2.82.

03

Degree of Freedom for Both

The degrees of freedom for s1aren-1鈬�13-1=12.

From Table 4-3, by locating, the column with 12 degrees of freedom for role="math" localid="1663326886623" s1and the row with 12 degrees of freedom for s2give.

Compare Fcalculatedwith Ftable.

Fcalculated=2.82>Ftable=2.69.

Therefore, the differences in the standard deviation of the two given sets are significant.

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