F - C gptc.blackboard.com/webapps/blackboard/content/contentWrapper.jsp?content_id=_18 GEORGIA PIEDMONT TECHNICAL COLLEGE 8 MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 Chapter 7: The Central Limit Theor Chapter 7: Central Limit Theorem (Sums) Score: 0/5 0/5 answered Question 1 The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.7 minutes. 48 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 b. What is the distribution of T? I ~ N( c. What is the distribution of x:? x - Nd d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.4154 and 23.8154 minutes. e. For the 48 runners, find the probability that their average time is between 23.4154 and 23.8154 minutes. f. Find the probability that the randomly selected 48 person team will have a total time more than 1128. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 10% of all 48 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes Hint: Some Helpful Videos: IMG_20221129_21..jpg IMG_20221129_21....jpg IMG_20221129_21....jpg 9 Type here to search OBb Chapter 10 x 5 https://gpt x Calendar - x Bb My Grades x Course Her X Bb Chapter 7 C a gptc.blackboard.com/webapps/blackboard/content/contentWrapper.jsp?content_id=_1846535 GEORGIA PIEDMONT TECHNICAL COLLEGE 8 MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 ... Chapter 7: The Central Limit Theorem Chapter 7: Central Limit Theorem (Sums) Score: 0/5 0/5 answered Question 2 Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.8 computers. 13 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ NC b. What is the distribution of ? I - N( c. What is the distribution of > x x - N d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.3 and 4.6 computers per hour. e. For the 13 workers, find the probability that their average number of computers put together per hour is between 4.3 and 4.6. f. Find the probability that a 13 person shift will put together between 61.1 and 63.7 computers per hour. g. For part e) and f), is the assumption of normal necessary? O Yes No h. A sticker that says "Great Dedication" will be given to the groups of 13 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer) Hint: Some Helpful Videos: IMG_20221129_21...jpg IMG_20221129_21....jpg IMG_20221129_21....jpg Type here to search OBb Chapter 10 X 5 https://gpt x Calendar - x Bb My Grades X * Course Her x x - N C. P(I > 987.4568) = h. For part c) and e), is the assumption of normal necessary? O Yes No Hint: Some Helpful Videos: The Central Limit Theorem for Sums ( Finding the Sampling Distribution Finding the Sampling Distribution for a Sum ( IMG_20221129_21....jpg IMG_20221129_21....jpg - IMG_20221129_21....jpg Type here to searchBb Chapter 10 x 5 https://gpt x _ Calendar - x B My Grades x |Course He X gptc.blackboard.com/webapps/blackboard/content/contentWrapper.jsp?content_id GEORGIA PIEDMONT TECHNICAL COLLEGE MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 Chapter 7: The Central Limit Chapter 7: Central Limit Theorem (Uniform) Score: 0/4 0/4 answered Question 1 A computer selects a number X from 3 to 8 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that the computer randomly picks 39 such numbers. What is the distribution of > for this selection of numbers. I ~ N( c. What is the probability that the average of 39 numbers will be more than 5.9? Hint: Some Helpful Videos: . Finding the Sampling Distribution ) [+] . Finding a Probability Using the Central Limit Theorem - [+] . Finding Value Given a Probability Using the Central Limit Theorem [ [+ ] . The Central Limit Theorem For Sums = [+] Hint Submit Question IMG_20221129_21....jpg IMG_20221129_21....jpg IMG_20221129_21....jpg Type here to searchBb Chapter 10 X & https://gpt x _Calendar - x Bb My Grades x * Course Her X - C gptc.blackboard.com/webapps/blackboard/content/contentWrapper.jsp?content_id GEORGIA PIEDMONT TECHNICAL COLLEGE MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 ... Chapter 7: The Central Lim Chapter 7: Central Limit Theorem (Uniform) Score: 0/4 0/4 answered Question 2 Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that 38 people are surveyed. What is the distribution of a for this sample? I ~ N( c. What is the probability that the average birth month of the 38 people will be less than 6.1? Hint: Some Helpful Videos: . Finding the Sampling Distribution = [+] . Finding a Probability Using the Central Limit Theorem ] [+] . Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For Sums ) [+] Hint Submit Question IMG_20221129_21....jpg IMG_20221129_21....jpg IMG_20221129_21....jpg Type here to searchBb Chapter 10 x 5 https://gpto x _ Calendar - x B My Grades X Course Her X B C C # gptc.blackboard.com/webapps/blackboard/content/contentWrapper.jsp? content_id=_18 GEORGIA PIEDMONT TECHNICAL COLLEGE 8 MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 Chapter 7: The Central Limit The Chapter 7: Central Limit Theorem (Uniform) Score: 0/4 0/4 answered Question 3 Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 50 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ u Suppose that 50 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of ? X ~ N( c. What is the probability that the average of 50 children will be between 8 and 8.2 years old? Hint: Some Helpful Videos: Finding the Sampling Distribution [ [+] . Finding a Probability Using the Central Limit Theorem [+] . Finding Value Given a Probability Using the Central Limit Theorem [+] The Central Limit Theorem For Sums ) [+] Hint 2 IMG_20221129_21..jpg IMG_20221129_21....jpg IMG_20221129_21....jpg Type here to search OB5 My Grades X Course Her X Bb Bb Chapter 10 x 3 https://gpto x Calendar - x C * gptc.blackboard.com/webapps/blackboard/content/contentWrapper.jsp?content_id= GEORGIA PIEDMONT TECHNICAL COLLEGE 8 MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 Chapter 7: The Central Limit T Chapter 7: Central Limit Theorem (Uniform) Score: 0/4 0/4 answered Question 4 The number of seconds X after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U then the sampling distribution is b. Suppose that 38 classes are clocked. What is the distribution of a for this group of classes? I - N( c. What is the probability that the average of 38 classes will end with the second hand between 23 and 29 seconds? Hint: Some Helpful Videos: . Finding the Sampling Distribution ? [+] Finding a Probability Using the Central Limit Theorem [+] . Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For Sums D [+] Hint (2 IMG_20221129_21....jpg IMG_20221129_21...jpg IMG_20221129_21....jpg Type here to search