Week 4 Knowledge Check Homework Practice Questions.pdf

12/30/23, 12:36 AM - MATH302 D002 Fall 2023 - APEI https://myclassroom.apus.edu/d2l/le/enhancedSequenceViewer/148218?url=https%3A%2F%2Ff54cbe36-23a9-4505-85fe-e251f80ec34d.sequences… 1/10 Week 4 Knowledge Check Homework Practice Questions 1 2 Your work has been saved and submitted Written Dec 29, 2023 11:55 PM - Dec 30, 2023 12:35 AM • Attempt 1 of 4 Attempt Score 16 / 20 - 80 % Overall Grade (Highest Attempt) 16 / 20 - 80 % Question 1 1 / 1 point ___ 264.43___ Hide ques±on 1 feedback The length of a human pregnancy is normally distributed with a mean of 272 days with a standard deviation of 9 days (Bhat & Kushtagi, 2006). How many days would a pregnancy last for the shortest 20%? Round answer to 2 decimal places. Answer: In Excel, =NORM.INV(0.2,272,9)

12/30/23, 12:36 AM - MATH302 D002 Fall 2023 - APEI https://myclassroom.apus.edu/d2l/le/enhancedSequenceViewer/148218?url=https%3A%2F%2Ff54cbe36-23a9-4505-85fe-e251f80ec34d.sequences… 2/10 Question 2 0 / 1 point ___ 0.359___ (0.0359, .0359) Hide ques±on 2 feedback Question 3 1 / 1 point ___ 53.78___ Hide ques±on 3 feedback Question 4 0 / 1 point Which type of distribution does the graph illustrate? Find P(Z ≥ 1.8). Round answer to 4 decimal places. Answer: In Excel, =1-NORM.S.DIST(1.8,TRUE) The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm (Ovegard, Berndt & Lunneryd, 2012). Assume the length of fish is normally distributed. What is the length in cm of the longest 15% of Atlantic cod in this area? Round answer to 2 decimal places. Answer: Longest 15% is the upper 85%, 1 - .15 = .85 In Excel, =NORM.INV(0.85,49.9,3.74)

12/30/23, 12:36 AM - MATH302 D002 Fall 2023 - APEI https://myclassroom.apus.edu/d2l/le/enhancedSequenceViewer/148218?url=https%3A%2F%2Ff54cbe36-23a9-4505-85fe-e251f80ec34d.sequences… 3/10 Question 5 1 / 1 point The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 26.3 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28? Answer: ___ Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a legitimate entry. Make sure you include the zero before the decimal. ___ Answer: 0.2029 Hide ques±on 5 feedback Left skewed Distribution Right Skewed Distribution Normal Distribution Uniform Distribution This is a sampling distribution problem with μ = 26.3. σ = 11.2, and sample size n = 30.

12/30/23, 12:36 AM - MATH302 D002 Fall 2023 - APEI https://myclassroom.apus.edu/d2l/le/enhancedSequenceViewer/148218?url=https%3A%2F%2Ff54cbe36-23a9-4505-85fe-e251f80ec34d.sequences… 4/10 Question 6 1 / 1 point ___ 0.4966___ Hide ques±on 6 feedback Question 7 1 / 1 point ___ 0.314___ Hide ques±on 7 feedback Question 8 1 / 1 point The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. The decay rate is: New SD = 11.2/SQRT(30) = 2.044831 P(x > 28) = 1 - NORM.DIST(28, 26.3, 2.044831, TRUE) The life of an electric component has an exponential distribution with a mean of 10 years. What is the probability that a randomly selected one such component has a life more than 7 years? Answer: (Round to 4 decimal places.) P(x > 7) 1-P(x < 7) =1-EXPON.DIST(7,1/10,TRUE) The commute time for people in a city has an exponential distribution with an average of 0.5 hours. What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours? Answer: (round to 3 decimal places) P(.4 < x < 1) P(x < 1) - P(x < .4) In Excel, =EXPON.DIST(1,1/0.5,TRUE)-EXPON.DIST(0.4,1/0.5,TRUE) 0.1666

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