Case # 1

The treasurer of a certain university claims that the mean monthly salary of their college professors is P21,750 with a standard deviation of P6,000. A researcher takes a random sample of 75 college professors were found to have a mean salary of P19,375. Do the 75 college professors have lower salaries than the rest? Test the claim at = .05 level of significance

Case # 2

The mean we eight of the baggage carried into an airplane by individual passengers to Batanes Airport is 19.8 kilogram. A statistician takes a random sample of 110 passengers and obtain a sample mean weight of 18.5 kilograms with standard deviation of 8.5 kilograms. Test the claim at = .01 level of significance

Instruction

On the given case problem :

1. Formulate the null and alternative hypothesis
2. Establish the critical region
3. Compute the value of statistical test
4. Decide whether to accept or reject the null hypothesis
5. Draw a conclusion