Answered: An incubation period is a time between…

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 incubation period is a time between when you contract a virus and when your symptoms start. By surveying randomly selected local hospitals, a researcher was able to obtain a sample of incubation periods of 35 patients, and the sample average was found to be 6.02 days. Assume that the population standard deviation is 1.7 days. Construct a 91% confidence interval for the average incubation period of the novel coronavirus. i. Procedure: One mean Z procedure V OF ii. Assumptions: (select everything that applies) Population standard deviation is known Sample size is greater than 30 Population standard deviation is unknown Simple random sample The number of positive and negative responses are both greater than 10 Normal population iii. Unknown parameter: u, population mean iv. Point estimate: sample mean, X decimal places) v. Confidence level 91 ✓% and a a α 045, and 1 2 2 Critical values: (Round the answer to 2 decimal places) left= right= O = 6.02 ✓days (Round the answer to 2 .09 95 o, also Part 2 of 5 Xo 2.

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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