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Name: Nationally, patients who go to the emergency room wait an average of 5
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Description: Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural hospitals have a higher waiting time? The 10 randomly selected patients who went to the emergency room at rural hospit

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural hospitals have a higher waiting time? The 10 randomly selected patients who went to the emergency room at rural hospitals waited an average of 8 hours to be admitted into the hospital. The standard deviation for these 10 patients was 3 hours. What can be concluded at the the αα = 0.01 level of significance level of significance?

The null and alternative hypotheses would be:

H0: the mean is <,>,=, or not equal to___also provide the number__?__

H 1: the mean is <,>,=, or not equal to ___also provide the number __?__

The test statistic t = __?__ (please show your answer to 3 decimal places.)

2. The p-value = __?__ (Please show your answer to 4 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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Calculus For The Life Sciences

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