1. The hospital record shows that the mean weight of newly born baby is 7 lbs, with the standard deviation of 0.75 lbs. A researcher takes a sample of 55 newly born babies and found to have a mean weight of 6.73 lbs. Test the claim at 0.05 level of significance.
2. An economist claims that the mean family income of a certain populated area in Metro Manila is at most is P22,450.00 monthly. Test the claim at 0.05 level of significance. The economist students take a sample of 150 families, obtaining a mean of P19,769.00 with standard deviation of P529.00. What is the conclusion?
3. To compare freshmen's knowledge of mathematics in two departments of the college of Business Administration of the University of the East, a certain professor in business mathematics got a sample of economics and accountancy students and gave them special examination. A sample of 25 economics major students had a mean score of 85.85 with standards deviation of 7.5. A sample of 29 accounting major students had a mean score of 90.5 with standard deviation of 10.3. Is there a significant difference between the two sample means? Use 0.01 level of significance. Tabular value of t = 2.0

Note:In a hypothesis testing procedure, follow the seven (7) steps.

1.Formulate the null and alternative hypothesis

2.Decide the level of significance, .

3.Choose the appropriate test statistic

4.Establish the critical region

5.Compute the value of the statistic test

6.Decide whether to accept or reject the null hypothesis

7.Draw a conclusion