Ten samples each of size 5 are drawn at regular intervals from a manufacturing process. The samplemeans (X) and their ranges (R) are given below:Sample No.14810Mean (x)49454853394746395145Range (R)757988.6

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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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The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?
Let X1, . . ., Xn be a random sample of componentlifetimes from an exponential distribution withparameter l. Use the factorization theorem toshow that ∑Xi is a sufficient statistic for l.
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Suppose that a random sample of size 1 is to be taken from a finite population of size N. a. How many possible samples are there?b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration.c. What is the difference between taking a random sample of size 1 from a population and selecting a member at random from the population?
A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 783 randomly selected fatal bicycle accidents occurred. At α=0.10, can you reject the claim that the distribution is uniform? Complete parts a through d below.
Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.3 4.4 6.1 6.1 6.6 5.8 Barley 6.4 8.1 6.2 7.5 5.9 5.6 Maize 5.7 4.8 6.5 5.0 6.1 5.2 Oats 8.2 6.1 7.9 7.1 5.4 7.3 Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level ? = 0.05 test.State the appropriate hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i's are equal Compute the test statistic value. (Round your answer to two decimal places.)f = What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Reject H0.…
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The following table presents the number of active breweries for samples of states located east and west of the Mississippi River: Part:0/3Part 1 of 3 (a) Compute the sample standard devlation for the number of breweries east of the Mississippl River. Round the answer to one decimal place as needed The sample standard devlation for the number of brewenes east of the Mississippi River is

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Ten samples each of size 5 are drawn at regular intervals from a manufacturing process. The sample means (X) and their ranges (R) are given below: Sample No. Mean (x) Range (R) 1 2 3 4. 9. 10 49 45 48 53 39 47 46 39 51 45 5 7 8