Central Limit Theorem for Sums or Totals of SamplesThe average amount of money that people spend at Don Mcalds fast food place is $7.4500 with a standarddeviation of $1.8300. 16 customers are randomly selected. Please answer the following questions, andround 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 æ? a - N(c. What is the distribution of > x? >ΣΣN(d. What is the probability that one randomly selected customer will spend more than $7.4338?e. For the 16 customers, find the probability that their average spent is more than $7.4338.f. Find the probability that the randomly selected 16 customers will spend less than $118.9408.YesO Nog. For part e) and f), is the assumption of normal necessary?h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people whospend the most money. At least how much must a group of 16 spend in total to get the free sundae? $Hint:

Answered: The average amount of money that people…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.9 computers. 45 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? x - N( c. What is the distribution of x? N( d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 45 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 45 person shift will put together between 193.5 and 202.5 computers per hour. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. A sticker that says "Great Dedication" will be given to the groups of 45 workers who have the top 15% productivity. What is…
CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard deviation is 206 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N (
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with. standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 20.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.8 feet tall? e. What is te probability that a randomly selected giraffe will be between 18.8 and 19.6 feet tall? f. The 70th percentile for the height of giraffes is ft.
The average number of words in a romance novel is 64,209 and the standard deviation is 17,495. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the proportion of all novels that are between 50,213 and 65,959 words. c. The 90th percentile for novels is words. (Round to the nearest word)d. The middle 60% of romance novels have from words to words. (Round to the nearest word) On average, indoor cats live to 14 years old with a standard deviation of 2.2 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that an indoor cat dies when it is between 9.3 and 11.1 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years…
The average amount of money that people spend at Don Mcalds fast food place is $7.1200 with a standard deviation of $1.8000. 8 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of �? � ~ N(Correct,Correct) What is the distribution of �¯? �¯ ~ N(Correct,Correct) What is the distribution of ∑�? ∑� ~ N(,) What is the probability that one randomly selected customer will spend more than $6.6654? For the 8 customers, find the probability that their average spent is more than $6.6654. Find the probability that the randomly selected 8 customers will spend less than $53.3232. For part e) and f), is the assumption of normal necessary? NoYes The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend the most money. At least how much must a group of 8 spend in total to get the free sundae? $ Hint: Some…
The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.4 minutes. 41 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 æ? x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 19.5378 and 20.0378 minutes. e. For the 41 runners, find the probability that their average time is between 19.5378 and 20.0378 minutes. f. Find the probability that the randomly selected 41 person team will have a total time more than 795.4. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The top 20% of all 41 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…
The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a standard deviation of $1.5100. 14 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 - N(| b. What is the distribution of x? a - N( c. What is the distribution of > x? ) x - N( d. What is the probability that one randomly selected customer will spend less than $7.7746? e. For the 14 customers, find the probability that their average spent is more than $7.7746. f. Find the probability that the randomly selected 14 customers will spend less than $108.8444. g. For part e) and f), is the assumption of normal necessary?O Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 14 people who spend the most money. At least how much must a group of 14 spend in total to get the free sundae? $ No
The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 48 randomly selected major movies are researched. Answer the foling questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N ---------, ------------- b. What is the distribution of x̄? x̄ ~ N -----------, ----------- c. For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 60 million dollars. -------------- d. For the group of 48 movies, find the probability that the average production cost is between 57 and 60 million dollars. --------------- e. For part d), is the assumption of normal necessary? --------------------Yes, -------------No NOTE..........QUESTION (D) AND (E) NEEDS TO BE ANSWERED
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.5 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where póssible. a. What is the distribution of X? X - N( b. What is the median recovery time? days c. What is the Z-score for a patient that took 4.6 days to recover? d. What is the probability of spending more than 2.1 days in recovery? e. What is the probability of spending between 2.4 and 3 days in recovery? f. The 70th percentile for recovery times is days.
help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 19 1 b. What is the median giraffe height? 19 ✔ft. c. What is the Z-score for a giraffe that is 21.5 foot tall? 2.5 d. What is the probability that a randomly selected giraffe will be shorter than 18.4 feet tall? e. What is the probability that a randomly selected giraffe will be between 19.9 and 20.5 feet tall? f. The 75th percentile for the height of giraffes is ft.

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