Which of the following is a fundamental difference between the t statistic and a z

1. Which of the following is a fundamental difference between a t statistic and a z-score?

a.The t statistic uses the sample mean in place of the population

mean.

b.The t statistic uses the sample variance in place of the population

variance.

c.The t statistic computes the standard error by dividing the

standard deviation by n - 1 instead of dividing by n.

d.None of these are differences between t and z.

2. Which bit of information is not obtainable from the results of a t-test written up in a statistical

report?

a.the alpha level used in the hypothesis test

b.whether the null hypothesis is rejected or fails to be rejected

c.the degrees of freedom used in the hypothesis test

d.Each of these bits of information is obtainable from the results of a

t-test written up in a statistical report.

3. Why are t statistics more variable than z-scores?

a.The extra variability is caused by variations in the sample mean.

b.The extra variability is caused by variations in the sample

variance.

c.The extra variability is caused by variations in the population

mean.

d.The extra variability is caused by variations in experimental

control.

4. Under what circumstances can a very small treatment effect be statistically significant?

a.if the sample size is large and the sample variance is small

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What is the fundamental difference between t statistic and z score?

Key Differences between Z score vs T score Z score is the standardization from the population raw data or more than 30 sample data to standard score while T score is standardization from the sample data of less than 30 data to a standard score. Z score ranges from -3 to 3, while the T score ranges from 20 to 80.

What is the difference between Z statistic and t statistic?

Z-test is the statistical hypothesis used to determine whether the two samples' means calculated are different if the standard deviation is available and the sample is large. In contrast, the T-test determines how averages of different data sets differ in case the standard deviation or the variance is unknown.

How is at statistic different from AZ statistic quizlet?

The only difference between the t formula and the z-score formula is: that the z-score uses the actual population variance, σ2 (or the standard deviation), and the t formula uses the corresponding sample variance (or standard deviation) when the population value is not known.

Why is the t statistic used instead of the Z statistic?

The major difference between using a Z score and a T statistic is that you have to estimate the population standard deviation. The T test is also used if you have a small sample size (less than 30).

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