1. A random sample of 4040 cars owned by students had a mean ageof 7.37.3 years and a standard deviation of 3.73.7 years, while arandom sample of 2828 cars owned by faculty have a mean age of5.85.8 years and a standard deviation of 3.53.5 years.
   Use a 0.10.1 significance level to test the claimthat, on average, cars owned by students are older than cars ownedby faculty.
The test statistic is ______________
The p-value is    _______________

2. Ten randomlyselected people took IQ test A, and next day they took a verysimilar IQ test B. Their scores are shown in the table below.

Person	A	B	C	D	E	F	G	H	I	J
Test A	101	118	71	86	129	108	109	96	91	93
Test B	103	115	69	85	130	109	112	97	89	92

Calculate (Test B - Test A) to find the differences. Use a 0.010.01significance level to test the claim that people do better on thesecond test than they do on the first.

(b) The test statistic is ___________

(c) The p-value is _______________

3. 2.38866e-05
Jaylon thinks that there is a difference in quality of life betweenrural and urban living. He collects information from obituaries innewspapers from urban and rural towns in Kansas to see if there isa difference in life expectancy. A sample of 20 people from ruraltowns give a life expectancy of xr¯=80.9xr¯=80.9years with a standard deviation of sr=6.5sr=6.5years. A sample of 30 people from larger towns givexu¯=72.4xu¯=72.4 years andsu=5.3su=5.3 years. Does this provide evidencethat people living in rural Kansas communities have, on average,different life expectancy than those in more urban communities? Usea 5 % level of significance. Let uu represent urban andrr represent rural.

(b) The test statistic is ________________

(c) The p-value is ___________________