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MATH 200 UCI Stating Hypotheses Test Statistic and P Value Exam Practice

MATH 200 UCI Stating Hypotheses Test Statistic and P Value Exam Practice

Question Description

Show ALL work. If using a calculator, state the programs you are using. Round answers to three decimal places. Use appropriate notation. It is believed that the average age of California females at time of marriage is younger than that of males.

Among a sample of 27 females, the average age at time of marriage was 27.4 years with standard deviation 2.84 years. A sample of 22 males found the average age at time of marriage was 30.2 years with standard deviation 3.77 years.

1. State the hypotheses and indicate which is the claim.

2. Find the test-statistic and p-value.

3. State your conclusion at the 0.02 significance level.

4. Find a comparable confidence interval for the difference in average age at time of marriage between females and males.

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