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Free_Kalibri [48]
3 years ago
15

If testing the claim that sigma subscript 1 superscript 2 baseline not equals sigma subscript 2 superscript 2σ21≠σ22​, what do w

e know about the two samples if the test statistic is fequals=​1?
Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

The statistic for this system of hypothesis is given by:

F=\frac{s^2_1}{s^2_2}

If the statistic is equal to 1 then that means s^2_1 = s^2_2 and we don't have enough evidence to conclude that the two population variances and deviations are different.

Step-by-step explanation:

System of hypothesis

We want to test if the variation for a group1 is equal to another one 2, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

Calculate the statistic

The statistic for this system of hypothesis is given by:

F=\frac{s^2_1}{s^2_2}

If the statistic is equal to 1 then that means s^2_1 = s^2_2 and we don't have enough evidence to conclude that the two population variances and deviations are different.

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