al Exam - Requires Limit: 3:00:00 Time Left:2:58:03 Huynh Thuan Anh Bui: Attempt 1 1 Question 19 (1 point) 2 3 A variable X has a normal distribution with a standard deviation of 154. It is known that the distribution of X for a sample of size n has a standard deviation equal to 6 14. What is the value of n? 84 CO 9 2156 11 12 298 13 14 15 121 576 16 17 18 -- 19 20 21 Question 20 (1 point) Suppose it is known that 72% of Winnipeggers have been to Grand Beach. In a random sample of 320 Winnipeggers. what is the approximate probability that less 22 23 24 than 240 of them have been to Grand Beach? 0.9474 25 26 21 0.8849 128 29 30 0.7673 0.9875 0.8315 AREQuestion 8 (1 point) Suppose it is known that the age at which people get their wisdom teeth follows a normal distribution with mean 20.2 years and standard deviation 2.0 years. Only 3% of people get their wisdom teeth when they are older than: 23.96 years 16.44 years 12 18.26 years 14 15 21.55 years 22.14 years 17 18 Question 9 (1 point) 20 21 A variable X follows a normal distribution with mean u and standard deviation o. What proportion of values of X are within 1.2 standard deviations of ? 23 24 depends on the values of both u and a 26 27 depends on the value of u 29 30 0.8849 depends on the value of o 0.7698 CAPS SHIPyield of the chemical process Question 7 (1 point) A medical experiment is being conducted using a randomized block design. In this type of design, we: 9 randomly select the treatments to study, then get volunteers for the experiment, then randomly assign them to blocks. 11 12 get volunteers for the experiment, then randomly assign them to blocks, then randomly assign the treatments. 14 15 randomly select the subjects to participate in the experiment, then randomly assign them to blocks, then randomly assign the treatments. 17 18 get volunteers for the experiment, then randomly assign the treatments, then assign the individuals to blocks based on some criteria. 20 21 get volunteers for the experiment, then assign the individuals to blocks based on some criteria, then randomly assign the treatments. 23 24 Question 8 (1 point) 26 27 Suppose it is known that the age at which people get their wisdom teeth follows a normal distribution with mean 20.2 years and standard deviation 2.0 years. Only 3% of people get their wisdom teeth when they are older than: 29 30 23.96 years 16.44 years 18.26 years ALTQuestion 3 (1 point) We take a sample of students who have taken a chemistry course and a geography course. The correlation between their percentage grade X in the chemistry course and their percentage grade Y in the geography course is calculated to be 0.78. 9 Suppose we switched the roles of the two variables, i.e., suppose we labeled chemistry grade as Y and geography grade as X. What would be the correlation between the variables? 12 -0.78 15 0.78 18 0.87 impossible to determine with the information given 20 21 O-0.87 23 24 Question 4 (1 point) 26 27 Which of the following statements about sampling is/are true? (1) A simple random sample is the only type of sample in which every group of n individuals has the same chance to be selected. 29 30 -- (11) In a stratified sample, we must select the same sample size from each stratum. (Ill) Although there is bias involved in a convenience sample, the results will be reliable as long as the sample size is high. OIll only LonlyQuestion 1 (1 point) The five number summary for some data set is: 38 50 63 80 114 Which of the following statements is true? The distribution is skewed to the left and there is at least one outlier in the data set. The distribution is skewed to the left and there are no outliers in the data set. 12 The distribution is skewed to the right and there is at least one outlier in the data set. 15 The distribution is skewed to the right and there are no outliers in the data set. The distribution is approximately symmetric and there are no outliers in the data 18 set. 21 Question 2 (1 point) The University of Manitoba uses a grade point system with a maximum possible 24 Grade Point Average of 4.5. For each course, a student is awarded the following number of grade points per credit hour for each of the possible letter grades: Letter Grade 26 27 Grade Points A+ 4.5 A 4.0 29 30 B+ 3.5 B 3.0 C + 2.5 C 2.0 D 1.0 F 0.0 SHIPQuestion 2 (1 point) The University of Manitoba uses a grade point system with a maximum possible Grade Point Average of 4.5. For each course, a student is awarded the following number of grade points per credit hour for each of the possible letter grades: Letter Grade Grade Points 9 At 4.5 A 4.0 B+ 3.5 12 B 3.0 C+ 2.5 C 2.0 15 D 1.0 F 0.0 18 Zhen took four courses one year, and received the following grades: 20 21 Credit Hours Letter Grade Course 1 5 D 23 24 Course 2 2 A + Course 3 6 C Course 4 3 B+ 26 27 What is Zhen's GPA for the year? 29 30 2.36 2.75 2.47 CAPS SHIFT0.7698 Question 10 (1 point) The time X (in seconds) that it takes Toby the pug to eat his dinner follows a uniform distribution on the interval between 30 and 70. 8 9 11 12 It is known that P(X > a) = 0.675. What is the value of a? 57 14 15 45 17 18 41 20 21 43 53 23 24 Question 11 (1 point) 26 27 The next three games on the schedule for the University of Manitoba Bisons men's basketball team are shown below, along with the probabilities of each team winning 18 29 30 each game. Game 1 Manitoba (0.67) VS. Saskatchewan (0.33) Game 2 Manitoba (0.79 VS. Brandon (0.21) Game 3 Manitoba (0.90) VS. Trinity Western (0.10)inal Exam - Requires Respondus LockDown Browser + ne Limit 3:00:00 Time Left:2:58:14 Huynh Thuan Anh Bui: Attempt 1 age 1 We would like to estimate the value of the mean u of some population. Thirty 2 3 statisticians each take a separate random sample of 100 individuals from the population, and each of them calculates a 96% confidence interval for u. What is the probability that exactly 28 of their confidence intervals will contain the value of u? 16 0.2219 8 9 0.2187 10 11 12 depends on the value of -- 0.2354 13 14 15 0.2466 17 18 Question 16 (1 point) 19 20 21 The Canadian bobsled team is competing at the Olympics. The team will run the race four times. Times for the Canadian team to finish the race are known to follow a normal distribution with mean 47.5 seconds and standard deviation 0.6 seconds. 22 23 24 What is the probability that the team's total time for the four races is greater than 192 seconds? 25 26 27 0.0274 -- 0.0475 28 29 30 0.0166 0.0594 0.0322Zhen took four courses one year, and received the following grades: Credit Hours Letter Grade Course 1 5 D Course 2 2 At Course 3 6 C Course 4 3 B+ 12 What is Zhen's GPA for the year? 14 15 2.36 17 18 2.75 2.47 20 21 2.28 23 24 2.59 26 27 Question 3 (1 point) We take a sample of students who have taken a chemistry course and a geography 29 30 course. The correlation between their percentage grade X in the chemistry course and their percentage grade Y in the geography course is calculated to be 0.78. Suppose we switched the roles of the two variables, i.e., suppose we labeled chemistry grade as Y and geography grade as X. What would be the correlation between the variables? SHIFTimit: 3:00:00 Time Left:2:58:24 Huynh Thuan Anh Bui: Attempt 1 12 Question 11 (1 point) The next three games on the schedule for the University of Manitoba Bisons men's basketball team are shown below, along with the probabilities of each team winning 16 each game. Game 1 Manitoba (0.67) VS. Saskatchewan (0.33) 8 9 Game 2 Manitoba (0.79) VS. Brandon (0.21) Game 3 Manitoba (0.90) VS. Trinity Western (0.10) 11 12 The outcome of each game is independent of any other. What is the probability the 14 15 Bisons win exactly two of these three games? 1/ 18 0.4489 0.4719 20 21 0.4574 23 24 0.4976 26 27 0.4142 18 29 30 Question 12 (1 point) The owner of a hot dog cart determines the following information about which condiments customers like on their hot dogs: . 55% like ketchup (K) . 62% like mustard (M). 40% like relish (R). 31% like ketchup and mustard CAPS SHIP CTRL ALTQuestion 5 (1 point) Consider the following cartoon: THE WIZARD OF ID parker and bart HOW WOULD YOU RATE THE WOULD YOU SAY KING'S JOB PERFORMANCE? HE'S DOING A I THINK I KNOW WHO IS PAYING FOR THIS POLL 9 GOOD JOB, AN OUTSTANDING JOB OR A TERRIFIC JOB ? 1 12 POLL 14 15 ARKE 18 Which of the following are present in this survey? (1) simple random sampling 20 21 ll) convenience sampling (Ill) a leading question 23 24 Oil only Ill only 26 27 Oil and Ill only 29 30 1, ll and Ill I and Ill only Question 6 (1 point) STRFinal Exam - Requires Respondus LockDown Browser + V The Limits 3:00 00 Time Left:2:58:08 Huynh Thuan Anh Bui: Attempt 1 A "drive" is a golfer's first shot on a long hole. Driving distances for one golfer are Page 1: known to follow a normal distribution with mean 285 yards and standard deviation 24 yards. We will select a random sample of 64 of the golfer's drives and calculate the sample mean distance X. The sampling distribution of X is: 5 6 exactly normal with mean 285 and standard deviation 24. 8 9 approximately normal with mean 285 and standard deviation 3. exactly normal with mean 285 and standard deviation 0.375. 10 11 12 -- approximately normal with mean 285 and standard deviation 24. 13 14 15 exactly normal with mean 285 and standard deviation 3. 16 17 18 Question 18 (1 point) 19 20 21 Delivery times for a pizza delivery driver follow some right skewed distribution with mean 31 minutes and standard deviation 12 minutes. We take a random sample of 7 of his deliveries. What is the probability that the sample mean time is between 28 and 33 minutes? 22 23 24 0.4154 25 26 27 0.6209 28 29 30 impossible to determine with the information given 0.5528 0.3623 SHIFQuestion 6 (1 point) A scientist conducts an experiment to determine how the temperature (high or low) and pressure (high or low) affect the yield of a chemical process. Each temperature and pressure combination will be randomly assigned to five batches of a chemical solution. What is/are the factor level(s) in this experiment? 8 O high temperature/high pressure, high temperature/low pressure, low 11 12 temperature/high pressure, low temperature/low pressure batches of a chemical solution 14 15 high temperature, low temperature, high pressure, low pressure 17 18 temperature and pressure 20 21 yield of the chemical process 23 24 Question 7 (1 point) A medical experiment is being conducted using a randomized block design. In this 26 27 type of design, we: randomly select the treatments to study, then get volunteers for the experiment, 18 29 30 then randomly assign them to blocks. get volunteers for the experiment, then randomly assign them to blocks, then randomly assign the treatments. randomly select the subjects to participate in the experiment, then randomly assign them to blocks, then randomly assign the treatments.it. 3:00:00 Time Left:2:58:18 Huynh Thuan Anh Bui: Attempt 1 Question 13 (1 point) Refer to the previous question. Which of the following statements is true? The events M and R are independent. The events K and R are mutually exclusive. 9 The events K and M are independent. 11 12 The events K and R are independent. The events M and R are mutually exclusive. 14 15 Question 14 (1 point) 17 18 A restaurant has four kinds of soda. Of all people that order a soda, it is known that 47% order Coke, 18% order Root Beer, 23% order Sprite and 12% order Orange 20 21 Crush. Of the next 9 customers that order a soda, what is the probability that at least two of them order a Root Beer? 23 24 0.4586 0.5012 26 27 0.6688 29 30 0.3372 0.2908 Question 15 (1 point) TAPS SHISimit: 3:00:00 Time Left:2:58:22 Huynh Thuan Anh Bui: Attempt 1 Question 12 (1 point) 2 The owner of a hot dog cart determines the following information about which condiments customers like on their hot dogs: 16 55% like ketchup (K). 62% like mustard (M) 40% like relish (R). his 8 9 31% like ketchup and mustard. 22% like ketchup and relish. 23% like mustard and relish. 11 12 15% like all three condiments. What is the probability that a randomly selected customer likes their hot dog plain (i.e., with none of the condiments)? 14 15 0.07 17 18 0.05 20 21 0.08 23 24 0.06 0.04 26 27 Question 13 (1 point) 8 29 30 Refer to the previous question. Which of the following statements is true? The events M and R are independent. The events K and R are mutually exclusive