Acoording to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by tesearchers, 4,000 reaches (the expected number in a rouch-infested house) were released in the tost kibchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1 -week period. Assume that none of the original roaches died during the 1 -week period and that the standard deviation ofx, the number of roaches produced per roach in a 1 -weok period, is 1.3 . Use the number of roaches produced by the sample of 4,000 rosches to find a pos confidence interval for the mean number of roaches produced per wook for each rosch in a typical toach-infosted house. Find a99%confidence interval for the mean number of roaches prodused per week for each roach in a typical roach infested housen (Round to three decimal places as needed) According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 4,000 roaches (the expected number in a roach-infestedhouse) were released in the test kitchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1-week period. Assume that none of theoriginal roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.3. Use the number of roaches produced by thesample of 4,000 roaches to find a 99% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.CELEFind a 99% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house00(Round to three decimal places as needed.)

Answer Given The sample size [n] =4000The mean =2.6163Standard deviation =1.3

Answered: Acoording to scientists, the cockroach…

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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Acoording to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by tesearchers, 4,000 reaches (the expected number in a rouch-infested house) were released in the tost kibchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1 -week period. Assume that none of the original roaches died during the 1 -week period and that the standard deviation ofx, the number of roaches produced per roach in a 1 -weok period, is 1.3 . Use the number of roaches produced by the sample of 4,000 rosches to find a pos confidence interval for the mean number of roaches produced per wook for each rosch in a typical toach-infosted house. Find a99%confidence interval for the mean number of roaches prodused per week for each roach in a typical roach infested housen (Round to three decimal places as needed)

According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 4,000 roaches (the expected number in a roach-infested
house) were released in the test kitchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1-week period. Assume that none of the
original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.3. Use the number of roaches produced by the
sample of 4,000 roaches to find a 99% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.
CELE
Find a 99% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house
00
(Round to three decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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