1. What kind of display could you use to show the association between job industry and mode of transportation? A: Histogram. B: Bar chart. C: Dot plot. D: Box plot. E: Scatterplot.
2. What is TRUE for a distribution that is skewed left? A: The mean is larger than the median and the sum of the deviations is negative. B: The mean is less than the median and the sum of the deviations is positive. C: The mean is larger than the median and the sum of the deviations is zero. D: The mean is less than the median and the sum of the deviations is zero. E: The mean is less than the median and the sum of the deviations is negative.
3. There are three children in a room, ages 9, 10, and 11. What will happen if another child of age 10 enters the room? A: The mean age and standard deviation will increase. B: The mean age and standard deviation will stay the same. C: The mean age will decrease and standard deviation of age will increase. D: The mean age will stay the same but the standard deviation will increase. E: The mean age will stay the same but the standard deviation will decrease.
4. Last weekend, police ticketed 22 men whose mean speed was 117 kilometres per hour (kph), and 34 women going an average of 120 kph. Overall, what was the mean speed of all the people ticketed?(Please round your answer to 2 decimal places.)
5. Marco enjoys playing hockey in his spare time. In his past 6 seasons, the number of goals he has scored each season is as follows: [21,17,16,17,19,24] Please give mean, median, mode, sample standard deviation.(Round your answer to four decimal places.)
6. Suppose you have a 2.7 grade point average in 3 courses. What is the minimum average you can have in your fourth and fifth courses to ensure your overall grade point average is at least 3.0?(Round your answer to 2 decimal places.)
7. A vendor converts the weights on the packages she sends from pounds to kilograms (1 kg 2.20 lb). The mean weight of the package was 22 lb with standard deviation of 0.25 lb. After repackaging (converting units), the mean becomes kg (round your answer to 2 decimal places), and the standard deviation becomes kg (round your answer to 2 decimal places).
8. A Tim Horton's has recently opened up in Edmonton. It is observed that, on any given morning, the time it takes for a car to be served after ordering in the drive-thru follows a normal distribution with = 6 minutes and = 2.6 minutes. A: What is the probability that it takes less than 5.5 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) B: What is the probability that it takes more than 6.9 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.)
9. The average credit score in Canada is 650. Assume that credit scores follow a normal distribution with a standard deviation of 100. A: Find the 90th percentile of credit scores in Canada. (Round your answer to the nearest integer.) B: 65% of Canadians have a credit score higher than what value? (Round your answer to the nearest integer.) C: Mac's credit score is 790. In what percentile is his credit score?(Round your answer to the nearest integer.)
10. An economics professor decides to curve the grades of his class. In doing so, he decides to make it such that the students who score in the top 10% receive an A. Assume a normal distribution among grades. How many standard deviations above the mean must a student get to receive an A? (Round your answer to 2 decimal places, if needed.)
11. The time it takes, in hours, for tickets to be sold out for an AC/DC concert follows a uniform continuous distribution with a = 0.7 and b = 5.4. (Round your answers to four decimal places.) A: What is the probability that it takes less than 2.5 hours for tickets to sell out? B: What is the probability that it takes between 3.7 and 4.9 hours for tickets to sell out?
12. The density curve for a continuous random variable X has which of the following properties? A: The total area under the density curve for X must be exactly 1. B: Density curves are only positive. C: The probability of any event is the area under the density curve and above the values of X that make up the event. D: All of these answers are correct. E: P(X = c) = 0, where c is a constant.
13. Suppose that a Normal model described student scores in a history class. Parker has a standardized score (z-score) of -2.0. What does this mean for Parker? A: Parker is 2.0 points above average for the class. B: Parker is 2.0 standard deviations below average for the class. C: Parker is 2.0 points below average for the class. D: Parker has a score that is 2.0 times the average for the class. E: Parker has a standard deviation of 2.0.
14. At the local liquour store, a single purchase approximately follows a normal distribution with a mean of $91 and a standard deviation of $17.56. Using the Empirical Rule, what values represent the range of the middle 68% of the distribution? (Round your answer to 2 decimal places if necessary)