Question

Gender	Mean	S.D.	Min	Q1	Median	Q3	Max
Female	23.76	47.47	0	2	5	21	256
Male	14.23	21.16	0	1	5	15	84

female sample size: 62

male sample size: 30

9. Let’s look a little closer at the original dataset (both genders, without Audrey/Katrina added) and actually perform a hypothesis test. At α = 0.05​, can you support the claim that female hurricanes are more deadly than male hurricanes?

9a. (4 pts) Write out the hypotheses statements below and identify the parameter(s) of interest.

Ho: _____________________ Parameters of interest: _______________________________________

Ha: _____________________ _______________________________________

9b. (1 pt) Which hypothesis represents the claim? Circle one: Null Hypothesis (H0) or Alternative Hypothesis (Ha)

9c. (4 pts) Explain what type of hypothesis test you will perform and verify that the conditions are met.

9d. (6 pts) Test this hypothesis. (SHOW WORK!) Clearly label a sketch with appropriate shading and calculate the test statistic. 9e. (2 pts) Would you reject or fail to reject the null hypothesis? Circle one: Reject H0 or Fail to Reject H0 Explain your choice:

9f. (3 pts) Write a conclusion in the context of this problem.

Answer 1

a) Parameters of interest is the difference between the means femals hurricane and male hurricanes.

See the hypothesis is the images attached

b) Alternative Hypothesis.

c) for the above problem we can use two independent sample t test for means

d) see the attached image

e) Fail to reject H0

f) Conclusion: claim is false that the female hurricanes are more deadly than male hurricanes

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