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.

• 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

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?

• 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

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

• 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