Question

1. An exercise physiologist records the mile times in seconds for 10 college distance runners before and after a twelve-week training cycle. Is there evidence at the .05 level that the runners' mile times improved (were lower...) following the twelve weeks' training?

2. Before	After
   249.9	250.2
   278.8	266.2
   254.2	244.7
   261.8	252.7
   238.8	237.6
   267.2	259.7
   267.8	256.8
   259.8	269.1
   254.5	252.1
   255.4	243.5

What's the value of the test statistic (based on the After-Before differences)?

What's the p-value?

Which of the following is(are) the correct critical value(s)?

		-1.96, 1.96
		-2.262, 2.262
		-2.33
		-2.821
		-1.833

What is the correct decision?

		Reject H0
		Don't Reject H0
		Reject HA
		Don't Reject HA

Answer 1

Difference Sample Sample 1 250.2 266.2 244.7 252.7 237.6 259.7 256.8 269.1 252.1 Sample 2 249.9 278.8 254.2 261.8 238.8 267.2 267.8 259.8 254.5 255.4 1 - Sample2 0.29999999999998 12.6 9.5 1.2 7.5 9.3 2.4 5.56 6.955 10 Average 253.26 9.984 10 258.82 11.015 10 St. Dev