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: |
(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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