1. Final Exam will be 24 Questions (22 at 4 points, 2 at 6 points)
MATH 2311
Final Exam Review
Final Exam will be 24 Questions (22 at 4 points, 2 at 6 points)
All Multiple Choice

2. The probability that a randomly selected person is a vegetarian is P(V) = 0.07 and the probability that a randomly selected person exercises regularly is P(E) = The probability that a randomly selected person is a vegetarian and exercises regularly is Find the probability that a randomly selected person either is a vegetarian, a regular exerciser, or both.

3. You are dealt 7 cards from a standard deck of 52 cards
You are dealt 7 cards from a standard deck of 52 cards. What is the probability that your hand will contain exactly 2 aces.

4. Given the following sampling distribution: What is P(6)?

5. Given the following sampling distribution: What is P(X < 4)?

6. Given the following sampling distribution: What is the expected value of the distribution?

7. Given the following sampling distribution: What is the standard deviation of the distribution?

8. Suppose you have a distribution, W, with mean = 3
Suppose you have a distribution, W, with mean = 3.5 and standard deviation = Define a new random variable V = 12W Find the mean and standard deviation of V.

9. The probability of a new car battery failing is 3%
The probability of a new car battery failing is 3%. You sold 25 car batteries in a given week. What is the probability that exactly 2 of them would have failed.

10. The probability of someone being allergic to peanuts is 8%
The probability of someone being allergic to peanuts is 8%. In a room of 75 people, what is the probability that less than 3 have a peanut allergy?

11. The probability of winning one round of a card game in 0. 24
The probability of winning one round of a card game in What is the probability that your first win will be on the second round of the game?

12. The amount of money spent on lunch is normally distributed with a mean of $7.50 and a standard deviation of $ What is the probability that someone will spend more than $12.00 on lunch?

13. Find a value of c so that P(Z > c) = 0.785.

14. The mean height of students in a fifth grade class is 52 inches with a standard deviation of 1.6 inches. You select 5 students from this class. What is the probability that the mean height of your selection is between 48 and 50 inches?

15. In a large population, 32% of the adults own pets
In a large population, 32% of the adults own pets. A simple random sample of 200 adults is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions?

16. In a large population, 32% of the adults own pets
In a large population, 32% of the adults own pets. A simple random sample of 200 adults is to be contacted and the sample proportion computed. Find the probability that less than 50 of this sample own pets?

17. Determine the correlation coefficient of the following data:

18. Determine the LSRL of the data:

19. Determine the residual of the data for the value of x = 14.

20. Based on the two-way distribution table, what percent of people with Young Children play Tennis?

21. A simple random sample of 75 children indicated that 12% come from single-parent homes. Create the 95% confidence level of the true population proportion for children from single-parent homes.

22. A test has been done to show the effectiveness of a new drug
A test has been done to show the effectiveness of a new drug. The treatment group, 45 people, had 25% improvement rate, and the placebo group, 35 people, had a 10% improvement rate. Determine the 90% confidence interval for the difference in improvement rates.

23. The height of 8th graders is known to have a standard deviation of 4 inches. A simple random sample of 81 of them is chosen and found to have a mean height of 52 inches. Construct a 89% confidence interval for the mean height of 8th grade students.

24. A study is conducted to determine the mean height of college students
A study is conducted to determine the mean height of college students. A group of 50 men had a mean height of 70 inches with a standard deviation of 4 inches. A group of 40 women had a mean height of 66 inches with a standard deviation of 5 inches. Determine the 95% confidence interval for the difference in mean heights.

25. A company wishes to determine what percent of their customers clip coupons. How large of a sample must be surveyed if this company wants a margin of error of less than 0.02 with a confidence level of 95%?

26. You heard a statistic that an amateur gunman can hit a target 40% of the time. You feel you can do better. You fire a gun 50 times and hit your target a total of 32 times. Test your claim with a significance of 0.05.

27. A school district claims that their male and female students have equal passing rates on final exams. Out of 55 males surveyed 43 passed the final exam. Out of 62 females surveyed, 58 passed the final exam. Test the school district’s claim at a confidence level of 5%.

28. A random number chart is said to be accurate if in any line each digit shows up an equal number of times. You noticed the following on one line of the table. Use a chi-squared test to determine the accuracy of this line in the random digit table at a significance level of 2%.