MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 different waiting time? The 13 randomly selected patients who went to the emergency room at rural hospitals waited an average of 3.4 hours to be admitted into the hospital. The standard deviation for these 13 patients was 2.9 hours. What can be concluded at the the α
= 0.01 level of significance level of significance?
- For this study, we should use
- The null and alternative hypotheses would be:
H0:
H1:
- The test statistic
- = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is
α
- Based on this, we should
- the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population
mean is not significantly different from 5 at α
- The data suggest the population
- = 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 5 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 5 hours at α
- = 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 5 hours.
- The data suggest the populaton mean is significantly different from 5 at α
-
- = 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 5 hours.
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