Stat 200 Week 6 Quiz 2: 100 pts total (16.7 pts per question)

Note: For homework, quizzes, exams, please only use Word and Excel to show your work. Copy your Excel work into a single Word document and submit only the Word document.Also, you are required to show all your work on how you arrived at an answer. If you only list the correct answer, but do not show the mathematical steps on how you arrived at the answer, then you will only receive 1/2 credit for the correct answer.This applies to all homework, quizzes, and final exam. Thank you

Dr. Valenzuela

1. Mary was throwing a six-sided die. The first time she threw, she got a one; the second time she threw, she got a two. Whats the probability of getting a three at the third time?

2. Imagine a class with 40 students. The teacher had only ten free tickets

for the Art Museum for this class. Therefore, the teacher decided to

use a lottery to decide who would receive the free tickets. Alex and

Lily wanted to go to the concert together. Whats the probability that

both of them win the free tickets?

3. Consider a normal distribution with a mean of 10 and standard deviation

of 25. What is the Z score for the value of 35?

4. For a normal distribution with a mean of 16 and standard deviation of

2, whats the probability of getting a number greater than 20?

5. Two hundred students took a standard chemistry test. You sampled 20

students to estimate the average score and the standard deviation. How

many degrees of freedom were there in the estimation of the standard

deviation?

a. 21

b. 20

*c. 19

d. 40

6. Imagine a researcher wanted to know the average years of education of

the adult population in a certain community. He randomly sampled nine

adults and obtained the mean years of education was 7 and the standard

error of the mean was 3. Whats the lower limit for the 95% of the

confidence interval of the mean?