A research study reported a 95% confidence interval for the mean time of hip surgeries based on a sample of 91 patients as (116 minutes, 138 minutes). Which of the following statements is correct about the given interval? We are 100% sure that the mean time of hip surgeries of the sampled 91 patients is between 116 and 138 minutes. 95% of the hip surgeries of the sampled 91 patients will fall between 116 and 138 minutes. We are 100% sure of hip surgeries take between 116 and 138 minutes. We are 95% sure that hip surgeries will take, on average, 116 to 138 minutes.A.IncorrectB.Correct

Given Sample size n=91 95% CI for population mean μ is (116 minutes, 138 minutes).

Answered: A research study reported a 95%…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A research study reported a 95% confidence interval for the mean time of hip surgeries based on a sample of 91 patients as (116 minutes, 138 minutes). Which of the following statements is correct about the given interval?

	We are 100% sure that the mean time of hip surgeries of the sampled 91 patients is between 116 and 138 minutes.
	95% of the hip surgeries of the sampled 91 patients will fall between 116 and 138 minutes.
	We are 100% sure of hip surgeries take between 116 and 138 minutes.
	We are 95% sure that hip surgeries will take, on average, 116 to 138 minutes.

A.	Incorrect
B.	Correct

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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