Question

T or F

The main reason a research uses a t-test instead of a z-test is when little is known about population (mean and standard deviation).

Values in the t‐table are not actually listed by sample size but by degrees of freedom (df).

A 90 percent confidence level is equivalent to an alpha level of 0.10

The critical value of t‐table for a study with 6 participants with alpha set @ .1 one tail is 1.711

Answer 1

1) The main reason research uses a t-test instead of a z-test is when little is known about population (mean and standard deviation)

The t-test is used when information about the population is not known. For example- If we need to test for the population mean and the population standard deviation is unknown, we use the t-test. If known, we use the z test instead.3) Values in the t‐table are not actually listed by sample size but by degrees of freedom (df).

2) Values in the t‐table are not actually listed by sample size but by degrees of freedom (df).

Here is a snapshot of the t table. As seen, values are listed by the degree of freedom.

3) A 90 percent confidence level is equivalent to an alpha level of 0.10

Relationship between confidence level and alpha

Confidence level = 1 -alpha

4)

The critical value of t‐table for a study with 6 participants with alpha set @ .1 one tail is 1.711

As seen from the above table, the value is actually 1.476

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