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- II. True or False. Read each statement below carefully. Write T if the you think the statement is true and F if you think the statement if false. _1. Any normal distribution is asymptotic around a vertical line erected at the mean. 2. The normal distribution is continuous random variable. 3. Approximately the area is 200% under the curve which represents the probability or proportion or percentage associated with specific sets of measurement values. _4. In a normal distribution, the mean divides the area in half--- 0.5000 on each side. 5. The width of the curve is determined by the mean of the distribution.The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 12. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X? X ~ N(___,___) What is the distribution of ¯x? x¯ ~ N(___,____) If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 65 and 66.8. ______ For the 15 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65 and 66.8. _______ For part d), is the assumption that the distribution is normal necessary? __Yes ___ No47
- I ALREADY HAVE ANSWER ON A,B AND C QUESTION. JUST NEED ANSWER ON D,E,F,G THANKSQuestion (c) Compute cumulative frequencies and cumulative relative frequencies.(d) What is the percentage of days when more than 6 books were stolen?The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.6 minutes. 8 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 24 2.6 b. What is the distribution of ? ī - N( 24 0.9192 c. What is the distribution of > x? > x - N( 192 7.3539 v) 192 o 7.3539 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.7212 and 24.9212 minutes. e. For the 8 runners, find the probability that their average time is between 23.7212 and 24.9212 minutes. f. Find the probability that the randomly selected 8 person team will have a total time less than 186.4. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 15% of all 8 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can…
- 3Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 21 minutes. A researcher observed 15 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? x ~ N( c. What is the distribution of > x?> x ~ N( d. If one randomly selected student is timed, find the probability that this student's time will be between 48 and 55 minutes. e. For the 15 students, find the probability that their average time studying is between 48 and 55 minutes. f. Find the probability that the randomly selected 15 students will have a total study time less than 810 minutes. g. For part e) and f), is the assumption of normal necessary? h. The top 10% of the total study time for of 15 students will be given a sticker that says No Yes groups "Great dedication". What is the least total time that a group…Help 13
- 6. The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.4 minutes. 12 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X? X ~ N(?,?) What is the distribution of x¯? x¯ ~ N(?,?) What is the distribution of ∑x? ∑x ~ N(?,?) If one randomly selected runner is timed, find the probability that this runner's time will be between 23.6608 and 24.4608 minutes? For the 12 runners, find the probability that their average time is between 23.6608 and 24.4608 minutes? Find the probability that the randomly selected 12 person team will have a total time less than 277.2? For part e) and f), is the assumption of normal necessary? Yes or No The top 20% of all 12 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship…What is the test statistic? χ02 =Answer whether if they are true or false
