A certain pen has been designed so that true mean writing lifetime under controlled conditions (involving the use of a writing machine) is at least 1o hours. A random sample of 19 pens is selected. the writing lifetime of each isdetermined, and a normal probability plot of the resulting data support the use of a one-sample t test. The relevant hypotheses are Ha!- 10 versus H,< 10.LA USE SALT(a) e--2.20 and e - 0.05 is selected, what conclusion is appropriate?O RejestO Fail te reject(b) t--1.73 and e- 0.01 is selected, what conclusion is appropriate?O RejectO Fall to reject() t- 0.37, what conclusion is appropriate?O RejectO Fail to reject

The provided information is n=19 df=n-1=19-1=18 The null and alternative hypothesis is…

Answered: been desig Obled cenobens (erving 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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According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual. A) Would you expect to meet many Asian adult males over 74 inches? Explain why or why not, and justify your answer numerically. , because the probability that an Asian male is over 74 inches tall is . B)The middle 40% of heights fall between what two values?Write the probability statement. P(x1 < X < x2) = Ch6#9
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A random sample of size 36 is taken from a population with mean u=17 and standard deviation o = 6. The probability that the sample mean is greater than 18 is Multiple Choice 0.5675 0.4325 0.8413 7 of 25 Nalw> < Prey Graw pe here to search
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Over a period of time has been observed that a given archer can hit a target on a single trial with probability equal to 0.8. Suppose the archer fires four arrows at the target. Using a Ti-84 calculator the following probabilities are calculated. Interpret what these calculations mean ( referencing the above information). 1. Binompdf (4, 0.8,2)= 0.1536 2. 1-binompdf (4, 0.8, 1)= 0.9728 These are functions in the calculator for binomial distribution. To locate on a Ti-84 calculator, press the 2nd button, then catalog ( the zero button), then press apps button and select either binompdf (or binompdf.
A department store has determined that 30% of all their sales are credit sales. A random sample of 80 sales is selected. What is the probability that the sample proportion will be between 0.25 and 0.35? (show all calculations; round the standard deviation to second decimal place) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt ... 1I!
The manager of a grocery store has selected a random sample of 100 customers. The average length of time these 100 customers to check out was 30 minutes. It is known that the mandand deviation of the checkest time is 1 minute With a 90 probability, the sample mean will provide a margin of error of 1645 10 196 1.96
a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samsle should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?
According to an airline, a particular flight is on time 85% of the time. Suppose 150 flights are randomly selected. Compute the mean and standard deviation of the random variable X, the number of on-time flights in 150 trials of the probability experiment. Hx = 127.5 oy = (Round to the nearest tenth as needed.)
Consider the Binomial random variable X Binom(N, 5) for unknown sample size pa- rameter N. Show that T = 2X is an unbiased estimator for the parameter N. Now consider the independent random variables X1,..., Xm that all follow the afore- mentioned Binomial distribution. Using the above information, construct a consistent estimator for N.
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The production of AN Screws states that the mean length for AN screws is 3.2 cn. Also, it is kuown that the probability of a randomly selected AN sCrew would measure more than 3.8 cm is p and the probability that a randomly selected AN screw wonld measure less than 2.8 cm is q. Suppose that the production of AN screws is tommally distributed, then the probability that a randomly selected AN screw will mcusure between 2.6 cm and 3.6 cm is Hint: Draw the curve of the Normal distribution and use its symmetry 1-2p O 1-p-q 1-p+q O 1-29

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