Carson's tablet has 2,000 videos. The play time for the videos is skewed to the right, with a mean of 135 seconds and a standard deviation of 25 seconds.Part A: Can you accurately calculate the probability that the mean play time is more than 142 seconds for an SRS of 10 videos? Explain.Part B: If you take a random sample of 50 videos instead of 10, explain how the Central Limit Theorem allows you to find the probability that the mean play time is more than 142 seconds. Calculate this probability and show your work.

Let, denotes the play time for the Carson's tablet video.The mean and standard deviation of x is…

Answered: Carson's tablet has 2,000 videos. The…

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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Assuming that this sample came from an underlying normal population, test the hypothesis that the population mean = 50 vs population mean < 50. Use 0.05 level of significance- Sample mean- Sample Standard Deviation- Sample size- Test Statistic- Value of Test Statistic- Critical Region- P-value- Decision (Reject or Fail to Reject)- ConclusionPlease include your calculations
JA researcher takes an SRS of 80 people who go golfing.The average to be u52 years old. It was also determined that the standard deviation of cac ot golfers was la What is the probability that the sample mean is kss. than 47 years old? age of all golferswas determined years.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
You got the 8 out of 10 in this set of scores 10, 8, 10, 6, 7, 3, 5 You also got an 8 on thelast quiz. The last quiz had an average score of 7.5 and had a standard deviation of 6.Which quiz did you perform better, and why?
Write the formulae 60% of all the students passed an exam. If a random sample of 10 students is selected, What is the mean and the standard deviation ?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Solve the problem. 13) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 25 randomly picked years will exceed 72.8 inches?
To celebrate the end of final exams you and friends head to a favorite downtown restaurant. You find a street parking spot with a maximum of two hours. If you stay longer than two hours, you risk having your car towed away. No one has a watch or cellphone but you remember that the average time you spent at the same restaurant over your previous 16 visits is 1.5 hours, and you estimate the sample standard deviation to be about 20 minutes. You also need to factor in that it takes 8 minutes to walk to the restaurant and 8 minutes to walk back to your car (you are very certain about these two durations). (a) One of your friends is really worried that you won’t get back to the car in time and so the car might be towed away! Does your friend have good reason to be worried? Test at a 5% significance level whether the mean total time will be less than two hours. (b) You decide to leave the car parked at the street spot but it gets towed. What type of error have you committed?
Jodie's Ice Cream Stand sells cones at the beach. Her records show that she sells a mean of 180 cones each day, with a standard deviation of 15 cones, distributed normally. She would like to keep the probability of running out of cones below 1%. How many cones should she stock each day?
3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?
Use your Ti-84 to find the mean and standard deviation of the discrete probability distribution below. Match your screen shot with the correct screen shot.
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.

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