Sa t-distribution appropriate? a sample with size has and . the dotplot for this sample is given below. a dotplot ranging from 5 to 11 with dots plotted as follows: 1 dot above 5, 2 dots above 6, 3 dots above 7, 3 dots above 8, 2 dots above 9, and 1 dot above 11. indicate whether or not it is appropriate to use the t-distribution.

For this case since the sample size is < 30 is appropiate use the t distribution.

Step-by-step explanation:

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Based on the info given we have these values:

5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

And for this case we have n=12 representing the sample size.

For this case since the sample size is < 30 is appropiate use the t distribution.

We can calculate the sample mean and the deviation with the following formulas:

We can calculate the degrees of freedom like this:

And the standard error for the sample mean is given by:

c

step-by-step explanation:

step-by-step explanation: