Problem 9): The life of a device has an average of 50 months and a standarddeviation of 6.8 months.Let X be the average life (in months) of a random sample of 49 devices.Find the probability that the average life (in months) of a random sample of 49 devices isbetween 49 months and 52 months. (Provide your final answer with 4 or more decimal places)

GivenMean(μ)=50standard deviation(σ)=6.8sample size(n)=49

Answered: Problem 9 ): The life of a device has…

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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An apartment management company wants to explore the consequences of allowing residents to have multiple dogs. They would like to find out whether the number of dogs predicts resident ratings. They would also like to control for the year the apartment complex was built because that might also affect the resident rating. They have collected data on several of their existing complexes. For each complex, they have counted the number of dogs currently living in the complex, the year the complex was built, and the average rating for that particular complex. They would like to perform a multiple regression on these variables to predict resident ratings. See data below. These data are the same as the previous question. Positive and Negative Dog Ratings Number of dogs Year of facility Rating (out of 5) 54 1975 2 31 1964 3.5 0 2015 4.8 11 2011 3.8 73 1964 2.3 23 2016 3.7 0 2015 4.7 49 1989 2.7 What can we conclude about this multiple regression analysis? Fill in the…
Question 4 The time taken by employees at Grace Floral shop to put a bouquet together has a normal distribution with mean 26.4 minutes and standard deviation .8 minutes. (i) Find the probability that an employee chosen at random takes between 24.6 and 27.8 minutes to put a bouquet together. (ii) 12% of employees take more than t minutes to put a bouquet together. (iii) Find the value of t.
question 7 a,b
Question 11:
Question 23 A test had 12 items. A new version of a test was made by adding a set of 12 items which resembles the original 12-item test. The new test having 24-items was administered a group of students. The mean and the standard deviation of the new 24-item test scores were 18 and 6, respectively. The difference score between the original 12-item test and the new set of 12 items was calculated. The standard deviation of the difference scores was 3. Estimate reliability.
Q4) You are on a TV show and the presenter shows you 3 boxes: box 1, box 2 and, box 3. There is check for 1M $ in one of the boxes and if you guess the correct box you win 1M $ ! Let's assume you chose box 1. Now, assume you play the same game, but this time there are 1000 boxes, box 1, box 2, ..., box 1000. There is a check for 1M $ in one of the boxes and you have to guess the correct box to win the prize. Let's assume you chose box 1. d) What is the probability that the check is in box 1? e) What is the probability that the check is not in box 1? f) After you chose box 1, the presenter opens 998 boxes, other than box 1, and shows you that they are all empty. Now only box 1 and let's say box 349 are closed. Then, the presenter asks you if you want to change your initial decision and choose box 349 instead of box 1. Do you still choose box 1 or change your decision and choose box 349? Why?
A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard deviation of 19 grams.If you pick 20 fruits at random, then 11% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
Question 3 a. The content of brown sugar inside a packet is normally distributed with mean 250 grams and standard deviation of 5 grams. i. A packet is selected at random, find the probability that it is less than 245 grams. ii. Determine how much should be inside the packet that chances exceed 9%. iii. 50 packets are chosen randomly. What is the probability that the mean weight is more than 257 grams?
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QUESTION 9 The length of an adult Great White Shark is normally distributed with a mean of 3.4 meters and a standard deviation of 0.5 meters. What is the probability that a randomly selected adult Great White is more than 4.7 meters long? Click Save and Submit to save and submit. Click Save All Answers to save all answers.
Question 13. (DEATH IS A SURE AND UNCERTAIN EVENT) A doctor noted the Systolic Blood Pressure (SBP) of a random sample of 10 patients admitted to his hospital. He found that the average SBP of the 10 patients was 125 mm of Hg with a standard deviation of 80 mm of Hg. Later, two patients died, due to very high SBP values of 250 and 260 mm of Hg. Now he wonders: AMBULANCE Doctor Two dead patie What is the standard deviation of the SBP of the remaining 8 patients?
Question 5 A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 27 weeks. Assume that the length of unemployment is normally distributed with population mean of 27 weeks and the population standard deviation of 5 weeks. Suppose you would like to select a random sample of 8 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. What is the probability that one randomly selected individual found the next job is more than 30 weeks? ____ For 8 unemployed individuals, find the probability that the average time that they found the next job is more than 30 weeks. _____

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