Question

2.  You think that there may be differences in the demand for emergency room services depending on...

2.  You think that there may be differences in the demand for emergency room services depending on the day of the week.
In order to correctly staff your emergency room, you decide to look at demand by day of the week.
You gather the number of patients seen in the ER by day of week.
Question:  Is there a difference in the average number of patients being seen in the emergency room by day of week?
a.  What is the most appropriate test to statistically test this hypothesis?  Why?
b.  State your null and alternative hypothesis in words and symbols.
Symbols H0:
Ha:
Words H0:
Ha:
Math   Statistics-And-Probability   
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Answer #1

(a) One Way ANOVA is the most appropriate test to statistically test this hypothesis.

Reason: ANOVA is used to determine whether there are any statistically significant differences between two or more independent groups. here the 7 groups are the average number of patients being seen in the emergency room by day of week: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday.

(b) Symbols:
H0: Null Hypothesis:

Ha: Alternative Hypothesis: (At least one mean is different from other 6 means)

(c) Words:

H0: Null Hypothesis: There is no difference in the average number of patients being seen in the emergency room by day of week

HA: Alternative Hypothesis: There is difference in the average number of patients being seen in the emergency room by day of week

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