Q1) A sample of 40 observations is chosen from one approximately normal population. Sample mean is 102 and sample standard deviation is 5. Sample of 50observations is chosen from second source. Sample mean is 99 and standard deviation is 6. Perform a hypothesis test by using.04 level of significance to find out if there is a difference between the population means.

Q2) In recent national survey, mean weekly allowance for 9-year-old child from his or her parents was reported to be= $3.65.  Random sample of 45 nine year-olds in north western Ohio disclosed mean allowance to be= $3.69 with standard deviation of= .24. At.05 level of significance, is there difference in mean allowances nationally and mean allowances in north western Ohio for 9 year-olds?