True or False The t -test for two samples of paired data will use n differences,
ID: 3434432 • Letter: T
Question
True or False
The t-test for two samples of paired data will use n differences, making it a one-sample t-test.
In an F test for the ratio of two population variances, the degrees of freedom in both the numerator and the denominator must be equal.
The test statistic in an F test for equal variances is the ratio of the sample variances.
When the variances are known, a test comparing two independent sample means would use the normal distribution.
When the variances are unknown, a test comparing two independent sample means would use the Student's t distribution.
Explanation / Answer
1)
Answer: False
That is, the t for two samples of paired data will use n differences, making it a one sample t test.
Since in paired samples t test, each subject or entity is measured twice, resulting in pairs of deviations.
2)
Answer: False.
That is, the degree of freedom for both numerator and denominator is must be equal when the ratio of two population variables.
c)
Answer: True.
That is, the test statistic in an F test for equal variances in the ratio of the sample variances.
d)
Answer: True.
That is, when the variances are known, a test comparing two independent sample means would use the normal distribution.
5)
Answer: True.
That is, when the variances are unknown, a test comparing two independent sample means would use the Student's t distribution
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