An experiment was conducted to a sample of nine gold fish and ten clown fish to determine if there is a significant difference in the average number of days that the fish can survive without food inside the aquarium. The gold fish averaged 11 days with a standard deviation of 2 days while the clown fish averaged 12 days with a standard deviation of 3 days.

Questions:

1. What type of test is applicable for this problem?

2. What is the value of the test statistic?

3. What is the value of the pooled standard deviation Sp?

4. At 0.01 level of significance, what is the decision and conclusion of the test? (Note: critical value in absolute value is 2.898.)

5. What is the appropriate alternative hypothesis?

6. In hypothesis testing, when do you commit a TYPE II error?