It is commonly believed that men older than 50 are on average shorter than the ones under 50. UseManBodyData and your statistical expertise to answer the question: Is this a reasonable belief?

http://www.limes.one/Content/DataFiles/ManBody.xlsx1. What test did you perform?

• a. One-sided t-test
• b. Two-sided t-test
• c. Regression
• d. Confidence interval

2. What is the Statistical interpretation?

• a. Since theP-value is small, we are confident that the slope is not zero.
• b. Since theP-value is small, we are confident that the averages are different.
• c. Since theP-value is too large, the test is inconclusive.
• d. None of the above.

3. What is the conclusion?

• a. Yes, I am confident that the above belief is reasonable.
• b.No,Icannotclaimthattheabovebeliefisreasonable.

It is commonly believed that the more often it rains, the more inches of precipitation a city will accumulate. Use thePollutiondata and your statistical expertise to answer the questions: Is this a reasonable belief?

http://www.limes.one/Content/DataFiles/Pollution.txt4. What test did you perform?

• a. One-sided t-test
• b. Two-sided t-test
• c. Regression
• d. Confidence interval

5. What is the Statistical interpretation?

• a. Since theP-value is small, we are confident that the slope is not zero.
• b. Since theP-value is small, we are confident that the averages are different.
• c. Since theP-value is too large, the test is inconclusive.
• d. None of the above.

6. What is the conclusion?

• a. Yes, I am confident that the above belief is reasonable.
• b.No,Icannotclaimthattheabovebeliefisreasonable.

Refer to the Box-Plot below to answer questions 7 to 9.

7. What is the approximate median for the 60+ group?

• a. About 185
• b. About 162
• c. About 172
• d. None of these

8. Which of the three groups is skewed?

• a. The 30 - 45 group
• b. The 46 - 59 group
• c. The 60+ group
• d. None of the above

9. Which group has the outliers?

• a. The 30 - 45 group
• b. The 46 - 59 group
• c. The 60+ group
• d.Noneoftheabove

A random experiment was conducted where a Person A tossed five coins and recorded the number of "heads". Person B rolled two dice and recorded the smaller number out of the two dice. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13.

Hint: check Lectures 26 and 27 in the Book.

10. Which of the two people (A or B) is more likely to get the number 1?

• a. Person A
• b. Person B
• c. Not possible to determine

11. Which of the two people will have a higher Variation in their outcomes (i.e. higher Standard deviation)?

• a. Person A
• b. Person B
• c. Not possible to determine

12. What is the probability that person A obtains the numbers 5 or 6?

• a. About 3%
• b. About 8%
• c. About 10%
• d. About 15%

13. Which person has the higher probability of getting the number 3 or larger?

• a. Person A
• b. Person B
• c.Notpossibletodetermine

For a healthy human, a body temperature follows a normal distribution with a Mean of 98.2 degrees Fahrenheit and a Standard Deviation of 0.26 degrees Fahrenheit. For an individual suffering from the common cold, the average body temperature is 100.6 degrees Fahrenheit with a Standard deviation of 0.54 degrees Fahrenheit. Simulate 10000 healthy and 10000 unhealthy individuals and answer questions 14 to 16.

14. What is the approximate probability that a randomly picked, healthy individual will have a body temperature below 98.0 degrees Fahrenheit? Pick the closest answer.

• a. About 10%
• b. About 20%
• c. About 30%
• d. About 50%

15. What would be a range [A to B] that would contain 95% of individuals having the common cold? Pick the closest answer.

• a. Between 98.2 and 100.6
• b. Between 99.5 and 101.6
• c. Between 100.06 and 101.14
• d. Between 100.1 and 102.2

16. What is the approximate probability that a randomly picked, unhealthy individual (one with the cold) will have a body temperature below 100.0 degrees Fahrenheit? Pick the closest answer.

• a. About 5%
• b. About 15%
• c. About 25%
• d.About35%

Six friends took the final exam and the probability that each of them would get an "A" is 1/3. Use Binomial distribution (Lecture 27) to answer the following questions. We are interested in total number of A's among these six friends.

17. What are the n and p in this (binomial) model?

• a. n=6 p=1/2
• b. n=A and p=1/3
• c. n=6 p=1/6 and k=0,1,2,3,4,..
• d. None of the above.

18. What is the probability that 3 out of 6 friends got A's on the exam?

• a.
• b. 0.3125
• c. 0.2194
• d. None of the above.

19. Which of these is the most likely to happen?

• a. None of the friends got an A.
• b. All of them got A's.
• c. Only one friend got an A.
• d. Only two friends got A's.