T Distribution Table

Front

What is the t-distribution?

Back

The t-distribution is a probability distribution used in statistics that is appropriate for small sample sizes (typically n < 30) when the population standard deviation is unknown. It is similar to the normal distribution but has heavier tails.

Front

When should the t-distribution be used instead of the z-distribution?

Back

The t-distribution should be used when dealing with small sample sizes (n < 30) and when the population from which the sample is drawn is approximately normal.

Front

What does 'df' stand for in the context of the t-distribution?

Back

'df' stands for degrees of freedom, which is calculated as the sample size minus one (n - 1). It is used to determine the shape of the t-distribution.

Front

What is the t-value for a left-hand tail area of 0.05 with df = 15?

Back

The t-value is -1.753.

Front

What is the t-value for the 90th percentile with n=20?

Back

The t-value is 1.328.

Front

How do you find the t-value for a given confidence level?

Back

To find the t-value for a given confidence level, you can use a t-distribution table or statistical software, specifying the degrees of freedom and the desired area in the tail.

Front

What is the class mark in a frequency distribution?

Back

The class mark is the midpoint of a class interval, calculated as (lower limit + upper limit) / 2.

Front

What is the t-value for t_0.10 with df=14?

Back

The t-value is 1.345.

Front

What is the significance of the tails in the t-distribution?

Back

The tails of the t-distribution are heavier than those of the normal distribution, which accounts for the increased variability in small samples.

Front

What is the relationship between sample size and the t-distribution?

Back

As the sample size increases, the t-distribution approaches the normal distribution, and the t-values become closer to z-values.