Use Minitab to answer the questions. Make sure to copyall output from the Minitab:

The U.S. Bureau of Labor Statistics publishes a variety ofunemployment statistics, including the number of individuals whoare unemployed and the mean length of time the individuals havebeen unemployed. For November 1998, the Bureau of Labor Statisticsreported that the national mean length of time of unemployment was14.5 weeks.

The mayor of Chicago has requested the study on the status ofunemployment in City of Chicago. A sample of 60 unemployedresidents shows the sample mean is 15.7 and the sample standarddeviation is 9.0. Test whether the length of time in Chicago islong than national average.

1) Let's think about the house price. According to theCase-Shiller Home Price Indices in August 2009, Chicago and SanFrancisco have following sample mean and population standarddeviations (the sample mean was calculated by daily base, so thesample size was 30):

	CHICAGO	San Francisco
Sample Mean	130.55	132.47
Population StandardDeviation	9	12

                  

Using hypothesis test, prove if these house price indices aresame.  (Setup a hypothesis, show your works to performthe test, and state your verdict)

2)             Somepeople argue that San Francisco has higher house price than that ofChicago. Prove/disprove the argument using a hypothesis test.

3)             Let’sassume the population standard deviations are unknown, and thesample standard deviation of for Chicago is 9.2 and that of SanFrancisco is 11.5. Some people argue that San Francisco has highervariability (higher variance) in house prices than that of Chicago.Setup a hypothesis, perform the test and prove/disprove theargument.

4.     Let’s consider a company’sgrowth rate of sales.

Year	Annual Growth Rate (%)
1993	6.80
1994	6.10
1995	5.60
1996	5.40
1997	4.90
1998	4.50
1999	4.20
2000	4.00
2001	4.80
2002	5.80
2003	6.20
2004	5.50
2005	5.00
2006	6.10

Find the sample mean and sample standard deviation using Minitabusing descriptive statistics.

The store manager found that the average growth rate in 80s was6.00%. Using the data, prove if the average growth rate for thesample period was same as that of 80s.

Prove if the average growth rate was less than 6%.