Question

The general understanding of dehydration is that it may occur more often in the summer due to the heat. However, what most people do not understand is that in the winter months, the air is much more dry leading to a number of dehydration cases. A recent study investigated the number of dehydration cases in the summer and winter months to determine if there were more cases in the winter. The study looked at 12 weeks in the summer and 9 in the winter. The average number of dehydration cases per week in the summer and winter were 6.65 and 9.81, respectively and the standard deviations were 1.8 and 1.5, respectively. At α = 0.05, state your conclusions.

List the type of test you will use. (2) State Ho and H1. (3) Compute the test statistic (if not already given). (4) List the p-value and show as much work as possible as to how you calculated the p-value. (5) State your final conclusions as to accept or reject Ho.

Answer 1

To Test :-

H0 :-

H1 :-  

Test Statistic :-


t = 4.3821

Test Criteria :-
Reject null hypothesis if


DF = 18


Result :- Reject Null Hypothesis

P value

Looing for t = 4.3821 in t table across 18 degree of freedom

t = 4.3821 is greater than value 3.922 withrespective P value = 0.0005

Using excel to calculate exact P value = 0.000160

Reject null hypothesis if P value < level of significance

0.000160 < 0.05, we reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

There is sufficient evidence to support the claim that there were more cases in the winter.