Nationally, patients who go to the emergency room wait an average of 4 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 5.4 hours to be admitted into the hospital. The standard deviation for these 10 patients was 2.2 hours. What can be concluded at the the a = 0.05 level of significance level of significance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Nationally, patients who go to the emergency room wait an average of 4 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 5.4 hours to be admitted into the
hospital. The standard deviation for these 10 patients was 2.2 hours. What can be concluded at the the =
0.05 level of significance level of significance?
a. For this study, we should use
Select an answer
b. The null and alternative hypotheses would be:
Ho:
?
Select an answer
H1:
Select an answer
c. The test statistic
(please show your answer to 3 decimal places.)
d. The p-value
(Please show your answer to 4 decimal places.)
e. The p-value is (?
f. Based on this, we should | Select an answer
the null hypothesis.
g. Thus, the final conclusion is that ...
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 higher than 4 hours at a =
0.05, 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
higher than 4 hours.
The data suggest the populaton mean is significantly higher than 4 at a = 0.05, 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 higher than
%3D
4 hours.
The data suggest the population mean is not significantly higher than 4 at a = 0.05, 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 4
hours.
Transcribed Image Text:Nationally, patients who go to the emergency room wait an average of 4 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 5.4 hours to be admitted into the hospital. The standard deviation for these 10 patients was 2.2 hours. What can be concluded at the the = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H1: Select an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is (? f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... 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 higher than 4 hours at a = 0.05, 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 higher than 4 hours. The data suggest the populaton mean is significantly higher than 4 at a = 0.05, 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 higher than %3D 4 hours. The data suggest the population mean is not significantly higher than 4 at a = 0.05, 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 4 hours.
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