Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.2 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.8 hours. What can be concluded at the the αα = 0.01 level of significance level of significance?For this study, we should use : z test for a population proportion or t test for a population mean? The null and alternative hypotheses would be: H0: p or μ Select an answer = ≠ > < ____ H1: μ or p Select an answer < ≠ > = ______The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? ≤ > ααBased on this, we should Select an answer fail to reject reject accept the null hypothesis.Thus, the final conclusion is that ...The data suggest the population mean is not significantly different from 6 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 6 hours.The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly different from 6 hours at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is different from 6 hours.The data suggest the populaton mean is significantly different from 6 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is different from 6 hours.

Name: Nationally, patients who go to the emergency room wait an average of 6
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Description: Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 14 randomly selected patients who went to the emergency room at rural hos

For this study, we should use : t test for a population mean

Answered: Nationally, patients who go to the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.2 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.8 hours. What can be concluded at the the αα = 0.01 level of significance level of significance?

For this study, we should use : z test for a population proportion or t test for a population mean?

The null and alternative hypotheses would be:

H0: p or μ Select an answer = ≠ > < ____

H1: μ or p Select an answer < ≠ > = ______

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer fail to reject reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population mean is not significantly different from 6 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 6 hours.
- The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly different from 6 hours at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is different from 6 hours.
- The data suggest the populaton mean is significantly different from 6 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is different from 6 hours.

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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