Statistics Questions: A health study showed that within 400 female

Subject: Mathematics / Statistics
Question
A health study showed that within 400 female consumers, they drank an average of 33 gallons of milk a year with a S.D. of 5. Within 500 male consumers, they drank an average of 32 gallons of milk with a S.D. of 3. Is it a reasonable statement to to claim that women are more health conscious (drink more milk) than men with a significance level of 0.05?

Answer each of these steps for full credit:

Setup Ho and Ha.
Identify the nature of the sampling distribution curve and specify the appropriate test statistic.
Determine if the hypothesis test is one or two tailed.
Take specified significance level into account and determine the critical value (two for a two tailed test) for the test statistic from the appropriate statistical table.
State the decision rule for rejecting Ho.
Compute the observed value for the test statistic from the sample data.
Using the specified decision rule either reject or fail to reject Ho.

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