Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 15 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 15 patients was 2.7 hours. What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: P v= 7 H1: p v< 7 c. The test statistic t v 2.295 (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O 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 lower than 7 hours at a = 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 lower than 7 hours. O The data suggest the populaton mean is significantly lower than 7 at a = 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 lower than 7 hours. O The data suggest the population mean is not significantly lower than 7 at a = 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 7 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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answer D,E,F

Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the
hospital. Do patients at rural hospitals have a lower waiting time? The 15 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 15 patients was 2.7 hours. What can be concluded at the the a =
0.01 level of significance level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Но: v
7
%3D
H1: u v
7
c. The test statistic t v
= 2.295
(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 ? va
f. Based on this, we should Select an answer V the null hypothesis.
g. Thus, the final conclusion is that ...
O 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 lower than 7 hours
at a = 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 lower than 7 hours.
O The data suggest the populaton mean is significantly lower than 7 at a = 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 lower
than 7 hours.
O The data suggest the population mean is not significantly lower than 7 at a = 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
7 hours.
Transcribed Image Text:Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 15 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 15 patients was 2.7 hours. What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: v 7 %3D H1: u v 7 c. The test statistic t v = 2.295 (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 ? va f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that ... O 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 lower than 7 hours at a = 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 lower than 7 hours. O The data suggest the populaton mean is significantly lower than 7 at a = 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 lower than 7 hours. O The data suggest the population mean is not significantly lower than 7 at a = 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 7 hours.
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