8:02 Done Reader View Available C Chapter 7: Central Limit Theorem (Sums) Score: 0/5 0/5 answered Progress saved Done B & Voce . . . . Question 3 > 0/1 pt 9 3 99 0 Details Suppose 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 16 minutes. A researcher observed 12 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 a? a ~ N( C. What is the distribution of x? _x - NC d. If one randomly selected student is timed, find the probability that this student's time will be between 39 and 41 minutes. e. For the 12 students, find the probability that their average time studying is between 39 and 41 minutes. f. Find the probability that the randomly selected 12 students will have a total study time less than 588 minutes. g. For part e) and f), is the assumption of normal necessary? ) No Yes h. The top 20% of the total study time for groups of 12 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes Hint: Some Helpful Videos: A8:02 Done Reader View Available C Chapter 7: Central Limit Theorem (Sums) Score: 0/5 0/5 answered Progress saved Done B & Voce . . . . Question 2 > 0/1 pt 9 3 99 0 Details Each sweat shop worker at a computer factory can put together 4.3 computers per hour on average with a standard deviation of 0.7 computers. 7 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 ~ N b. What is the distribution of x? ~ ~ 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 3.9 and 4 computers per hour. e. For the 7 workers, find the probability that their average number of computers put together per hour is between 3.9 and 4. f. Find the probability that a 7 person shift will put together between 29.4 and 31.5 computers per hour . g. For part e) and f), is the assumption of normal necessary? No Yes h. A sticker that says "Great Dedication" will be given to the groups of 7 workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer) Hint: Some Helpful Videos: ADone 0 myopenmath.com AAA 6 Chapter 7: Central Limit Theorem (Sums) Score: 05 05 answered Progresssaved'Done Q E3 {5' 0 Question 4 .- B 0/1 pt '0 3 3 99 (9 Details The ave rage amount of money that people spend at Don Mcalds fast food place is $73200 with a standard deviation of $1.6400. 16 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - ND b. What is the distribution of j? :3 ~ MD, c. What is the distribution of Z :1)? Z 3: ~ m :lCl d. What is the probability that one randomly selected customer will spend less than $813350? 00 H e. For the 16 customers, nd the probability that their average spent is less than $8.1350. U f. Find the probability that the randomly selected 16 customers will spend more than 351301600. H g. For part e) and f), is the assumption of normal necessary? U NoC] Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 1 6 people who spend the most money. At least how much must a group of 1 6 spend in total to get the free Hm t: 8:02 myopenmath.com Chapter 7: Central Limit Theorem (Sums) Score: 0/5 0/5 answered Progress saved Done VO CO . . . . Question 1 0/1 pt 9 3 99 0 Details The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.6 minutes. 45 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 a? * ~ N( C. What is the distribution of _x? > x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 20.7186 and 21.0186 minutes. e. For the 45 runners, find the probability that their average time is between 20.7186 and 21.0186 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 958.5. g. For part e) and f), is the assumption of normal necessary? ) Yes No h. The top 10% of all 45 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: . Finding the Sampling Distribution ) [+] . Finding a Probability Using the Central Limit Theorem ' [+] . Finding Value Given a Probability Using the Central Limit Theorem [+]8:02 Done myopenmath.com AA C Chapter 7: Central Limit Theorem (Sums) Score: 0/5 0/5 answered Progress saved Done B = VOCO . . . . Question 5 0/1 pt 0 3 2 99 0 Details The average score for games played in the NFL is 21.7 and the standard deviation is 9.2 points. 49 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of a? * ~ N( b. What is the distribution of >x? > x - N C. P(a