Problem 1The lives of a certain type of carpet cleaners are approximately normally distributed with mean of 10years and standard deviation of 2 years. The manufacturer of the carpet cleaner wants to determine theguarantee period during which the carpet cleaner will be replaced if it fails. If the manufacturer is willingto replace 16% of the carpet cleaners that fail, how many years of replacement guarantee period shouldthe manufacturer offer?

Answered: Problem 1 The lives of a certain type…

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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EXPERIMENT 1: A researcher believes that on average women weigh less today than during the renaissance period around the 15th to 16th centuries. To investigate this belief, a random sample of 41 adult wômen is chosen and their weights are recorded. The mean weight of the sample is 111 pounds with a standard deviation of 12.4 pounds. Based on historical records and paintings of women from the renaissance, it is determined that the average weight of an adult women from that period would have been about 115 pounds.
QUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.
question 4
A Scenario: Jimmy store sells large tins of Tom Tucker Coffee. The deli uses a periodic review system. Inventory is checked every 10 days which more orders are needed for tins. Order lead time is 3 days. Average demand is 7 tins, so average demand during the reorder period and order lead time (13) is 91 tins. Standard deviation of demand during the same 13 day period is 17 tins.1. Calculate the restocking level ( Assume the desired level is 90%)2. Suppose standard deviation of demand during the 13-day period drops to 4 tins. What happened to restocking level? Explain why?3. Draw a saw-tooth diagram. Beginning inventory level is equal to restocking level and the demand rate is a constant 7 tins per day. What is the safety stock level? What is the average inventory level?
Section 9.2 Question #7 Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. View the data table of IQ scores. Medium Lead Level High Lead Level 72 n2 = 11 96 92 _ x2 = 91.815 85 90 s2 = 10.365 97 83 92 104 111 91 a. Use a 0.05 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population…
question 2b. The annual yield (expressed as a percentage) for all investments in a particular asset class in the latest financial year was normally distributed with a mean of 4.5% and a standard deviation of 1.25%.i. Represent the probability that a randomly selected investment in this class will have an annual yield greater than 6.00%on a diagram and determine this probability. ii. Represent the value for annual yield that only 10% of investments in this class exceed on a diagram and determine this value.
Solve question 9, Part A, Part B and Part C only.
Solve question #9 for part D only.

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