Question

1. A random sample of 4040 cars owned by students had a mean age of 7.37.3 years and a standard deviation of 3.73.7 years, while a random sample of 2828 cars owned by faculty have a mean age of 5.85.8 years and a standard deviation of 3.53.5 years.
   Use a 0.10.1 significance level to test the claim that, on average, cars owned by students are older than cars owned by faculty.
The test statistic is ______________
The p-value is    _______________

2. Ten randomly selected people took IQ test A, and next day they took a very similar 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 0.010.01 significance level to test the claim that people do better on the second 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 between rural and urban living. He collects information from obituaries in newspapers from urban and rural towns in Kansas to see if there is a difference in life expectancy. A sample of 20 people from rural towns give a life expectancy of xr¯=80.9xr¯=80.9 years with a standard deviation of sr=6.5sr=6.5 years. A sample of 30 people from larger towns give xu¯=72.4xu¯=72.4 years and su=5.3su=5.3 years. Does this provide evidence that people living in rural Kansas communities have, on average, different life expectancy than those in more urban communities? Use a 5 % level of significance. Let uu represent urban and rr represent rural.

(b) The test statistic is ________________

(c) The p-value is ___________________

Answer 1