True or False The ttest for two samples of paired data will

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.

Solution

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