Statistics

MAT 2058 – Final Exam Summer 2015

Name ____________________________________ Date _____________________

For each of the following problems show as much work as possible or circle the correct response to the multiple choice questions. Make sure your work is as NEAT as possible and CIRCLE your answers if the problem allows for it.

1. South University statistics students were asked how many credit hours they still had left until graduation. The credit hours are listed as follows:

1 3 8 7 6 2 10

a. Find the mean number of credit hours that the students have left.

b. Find the median number of credit hours the students have left.

c. Find the variance for this data set

d. Find the standard deviation for this data set

e. Calculate the 5 Number Summary for this data set

f. Draw a Box Plot for this data set based on your 5 Number Summary

g. Assume the distribution of these credit hours was normal. Interpret the standard deviation to determine between what two values 95% of the remaining credit hours lie.

h. What is the probability that a randomly selected student will have more than 3 credit hours left until graduation?

i. What is the probability that a randomly selected student will have less than 8 credit hours left until graduation?

j. What is the probability that a randomly selected student will have between 2 and 6 credit hours left until graduation?

2. Suppose that the probability of a Wayne getting a bulls-eye in a game of darts is is 40%. Is he

throws the darts 10 times, use information about binomials to solve the following:

a. What does n =

b. What does p =

c. What does q =

d. How many bulls-eyes should we EXPECT him to make in these 7 tries?

e. What is the variance for his attempts?

f. What is the standard deviation for his attempts?

g. What is the probability that he gets exactly 3 bulls-eyes?

h. What is the probability that he gets more than 4 bulls-eyes?

i. What is the probability that he gets less than 6 bulls-eyes?