Two hospital emergency rooms use different procedures for triage of their patien

Question

Two hospital emergency rooms use different procedures for triage of their patients. A local health care provider conducted a study to determine if there is a significant difference in the mean waiting time of patients for both hospitals. The 40 randomly selected subjects from Medina General Hospital (population 1) produce a mean waiting time of 18.3 minutes and a standard deviation of 21 minutes. The 50 randomly selected patients from Southwest General Hospital (population 2) produce a mean waiting time of 19.2 minutes and a standard deviation of 2.92 minutes Using only the statistical table in your textbook, what is the p-value of the most appropriate hypothesis test :0446 p.10 O p is between 025 and 05 O P-0892 OP

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary hypothesis test:
1 : Mean of population 1 (Std. dev. = 2.1)
2 : Mean of population 2 (Std. dev. = 2.92)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0

Hypothesis test results:

Hence,

p - value = 0.0892

Option D is correct.

Difference n1 n2 Sample mean Std. err. Z-stat P-value 1 - 2 40 50 -0.9 0.52988489 -1.6984821 0.0892

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