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Question

1)You conducted a t test for independent means, and found that the t score equaled 0. This means that

a. the two population means must be equal.

b. the two population variances must be equal.

c. the two sample means must be equal.

d. the two sample variances must be equal.

2) The best way to reduce the variances in the distributions of means when conducting a t test for independent means is to

a. increase the size of the samples.

b. raise the study's level of significance.

c. use the true population variance.

d. treat the two samples as one sample.

3)When conducting a t test for dependent means, μM

a. is always equal to 0.

b. is always equal to 1.

c. is always equal to –1.

d. depends on the population.

 

Answer 1

Theresa:

 

1)You conducted a t test for independent means, and found that the t score equaled 0. This means that

c. the two sample means must be equal.

 

See the formula for the t-statistic for testing equality of population means.  It has the difference between the sample means in the numeratior.  So if t = 0 that means (c).  No other answers have a pinch of truth in them.

 

2) The best way to reduce the variances in the distributions of means when conducting a t test for independent means is to

 

a. increase the size of the samples.

 

Other options are pure jibberish.

 

3)When conducting a t test for dependent means, μM

a. is always equal to 0.

 

This is the closest possible answer.  The correct answer is a (correct). is usaually hypothesized equal to 0.

 

In other words "When conducting a t test for dependent means, if μ_M denotes the difference between the population mans, the null hypothesis is set as H_o : μM = Δ."  If the null hypothesis says no difference (usual case), then Δ = 0.

 

Dr. G.