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.