1. Mental health score (GHQ) of a sample of 49 unemployed men are sample mean =10.54 (Note: small values indicate better mental health), standard deviation = 5.20. Test to see if the true mean GHQ score for all unemployed men exceeds 10. Also, find the p-value of the test.
2. A consumer group purchases 49 family-size 20-ounce bottles of ketchup, weigh the contents of each, and finds that the mean weight is 19.75 ounces, and s = 0.25 ounces. Do the data provide sufficient evidence, for the consumer group to conclude that the mean fill per family-size bottle is les than 20 ounces? Test using a s 0.05. Also, find the p-value of the your test.