In order to rule on a potential federal grant, a government official must confirm if the average income in a Pennsylvania county is greater than...

1.   In order to rule on a potential federal grant, a government official must confirm if the average income in a Pennsylvania county is greater than $12,500. A sample of 28 individuals is taken and shows a sample mean of $13,450 and a sample standard deviation of $3,972. Conduct the test at a 5% level of significance. What is your conclusion?

2. From a population of cans of coffee marked "12 ounces", a random sample of 27 cans was selected and the contents of each can were weighed. The sample revealed a mean of 11.8 ounces and a sample standard deviation of 0.5 ounces. At a 1% level of significance, test to see if the mean of the population is significantly different from 12 ounces. What is your Conclusion?

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