A study tested the claim that heights of Americans and heights of Aust

Ballestin3a

Ballestin3a

Answered question

2021-12-01

A study tested the claim that heights of Americans and heights of Austrians have different variances with s=7.48092 cm for Americans and 7.14756 cm for Austrians. The sample sizes are n1=145 and n2=157. When using the F test with these data, is it correct to reason that there is no need to check for normalcy because n1 is greater than 30, and n2 is greater than 30?

Answer & Explanation

inenge3y

inenge3y

Beginner2021-12-02Added 20 answers

Step 1
It is given that the sample variances are 7.48092 cm and 7.14756 cm with the corresponding to sample sizes are 145 and 157, respectively.
Step 2
The assumptions of F test is that the distribution are randomly and normally distributed.
Now, either the distribution should be symmetric or the sample size should be large enough to have the normal distribution.
In this case, both of the samples are greater than 30 or large enough.
Thus, it is correct reason that there is no need to check for normality because n1 is greater than 30, and n2 is greater than 30.

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