# Statistics 101: Principles of Statistics Final Exam

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#### Question 1 1. In a college class, the average IQ is 115. Assume that the distribution is normal and that the standard deviation is 15. What percentage of the class has an IQ between 105 and 130? Use a z table.

#### Question 2 2. If z = 2 and -2, what area falls outside these z values on a standard normal curve?

#### Question 3 3. James is a teacher in a small school is Boston. He is amused to find that his data is normally distributed, with 30 of his students taking a test which has 70 points. The average of their test scores is 36 and the standard deviation is 7. If the distribution is normal, towards which value is this symmetric data centered?

#### Question 4 4. Which of the following is FALSE regarding the binomial probability distribution?

#### Question 5 5. The mean score of a medical test is 72.21 with a standard deviation of 2.5. Find a 95% confidence interval for a random sample of 25 students with the following scores.

#### Question 6 6. A random sample is taken and the sample size is 25. The sample is normally distributed, the sample mean is 89, and the standard deviation is 5.5. Find a 90% confidence interval for the population mean.

#### Question 7 7. What is the value of alpha for a 90% confidence interval?

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Question 8
8.
When would you use the *t*-distribution procedure to find the confidence interval for the population mean?

#### Question 9 9. Which of the following is a way of increasing the power of a hypothesis test?

#### Question 10 10. It has been reported that the mean score for a student who takes the certain test is 80 with a standard deviation of 9. For a random sample of 100 students, what is the standard error?

#### Question 11 11. Dr. Matthews wants to know how many veterinary students decide to pursue a career as small animal practitioners. There are 27 veterinary schools in the USA, so he decides to randomly select 10% of the students from each school and asks them where they intend to practice once they finish veterinary school. Is this an example of a simple random sample?

#### Question 12 12. A soccer coach wants to know how many hours per week his players spend training at home. He has 20 players and he decides to ask the first 4 players to arrive at the Monday's soccer practice how many hours they spend training per week. He then calculated that they spend an average of 10 hours per week. Therefore, he assumed that all the players train 10 hours per week. Is this an example of a simple random sample?

#### Question 13 13. The chart displays the relative frequency of political affiliation of students who have enrolled in a History 101 class in the United Kingdom. If there are 150 students in the class, how many of them support the Conservative Party?

#### Question 14 14. Data on the result of an exam in high school was collected. Which of the following BEST describes this form of visual representation of data?

#### Question 15 15. The histogram below shows the results from a Math 101 exam. Which of the following best describes this data?

#### Statistics 101: Principles of Statistics Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!