#4 One t mean procedure, I have trouble with part 5 Hospital administrators wish to learn the average length of stay of all COVID-19 patients. A statisticianobtained a simple random sample of 34 COVID-19 patients which showed an average stay of 22 days with asample standard deviation of 2.7 days. Construct and interpret a 90% confidence interval for the averagelength of stay of COVID-19 patients.i. Procedure: One mean T procedureii. Assumptions: (select everything that applies)✔Population standard deviation is unknownPopulation standard deviation is known✔Sample size is greater than 30The number of positive and negative responses are both greater than 10✔Simple random sampleNormal populationiii. Unknown parameter: p. population meaniv. Point estimate: sample mean,v. Confidence levelOO% and a =alsoand 12o Critical values: (Round the answer to 3 decimal places)left=right=Part 2 of 5days (Round the answer to 2 decimal places)

The sample size, i.e., the sampled number of patients, n=34.The sample average number of days of…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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#4 One t mean procedure, I have trouble with part 5

Hospital administrators wish to learn the average length of stay of all COVID-19 patients. A statistician
obtained a simple random sample of 34 COVID-19 patients which showed an average stay of 22 days with a
sample standard deviation of 2.7 days. Construct and interpret a 90% confidence interval for the average
length of stay of COVID-19 patients.
i. Procedure: One mean T procedure
ii. Assumptions: (select everything that applies)
✔Population standard deviation is unknown
Population standard deviation is known
✔Sample size is greater than 30
The number of positive and negative responses are both greater than 10
✔Simple random sample
Normal population
iii. Unknown parameter: p. population mean
iv. Point estimate: sample mean,
v. Confidence level
O
O
% and a =
also
and 1
2
o Critical values: (Round the answer to 3 decimal places)
left=
right=
Part 2 of 5
days (Round the answer to 2 decimal places)

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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