In the sport of track, the 200-meter race is very competitive. Currently the two best male runners in this race are Usain Bolt and Wallace Spearman, but there is no consensus about which is the faster runner. Since track, weather, and wind conditions all affect race times, comparing their times in different races is difficult due to different conditions at these races. So, a random sample of all 200-meter races in which both men were entered was taken, and their race times (in seconds) were recorded with the following results.

Race	1	2	3	4	5	6	7	8	9	10
Bolt's Time	19.4	19.7	20.1	19.7	19.9	19.6	20.0	19.4	19.9	19.7
Spearman's Time	19.5	19.6	20.1	19.8	20.0	19.8	19.9	20.2	20.3	19.9

Previous research has shown that the difference of their race times is normally distributed. At the 0.05 level of significance test the hypothesis that overall 200-meter races both men race in, Usain Bolt is the faster runner; that is, the mean of Bolt's race times is less than Wallace's meantime.

_d = _Bolt - _Spearsman

a What is the null hypotheses?

i _d < 0 ii _d = 0 iii _d > 0 iv _d 0

b What is the Alternate Hypothesis?

i _d < 0 ii _d = 0 iii _d >0 iv _d 0

c This test is a

i Right tail ii Left tail III Two tail Iv Undefined

d This test is Not Matched 1 or 2 sample , Matched Pair or Chi Squate

i One sample ii Two sample iii Matched pair Iv Chi Square

e The numerical value of is? (2 decimal places)

f The test Statistic distribution is?

i z ii t iii Chi Square iv F

g The numerical value of the test statistic is? (3 decimal places)

h The numerical value of the p_value is? (4 decimal places)

i The Statistical Decision is?

i Do not reject the Null ii Reject the Null III Insufficient data

j The decision of the Statistical test in the terminology of the question.

i Bolt's race times are the same as Spearman's race times.

ii Bolt's race times are faster than Spearman's race times.

Iii Bolt's race times are slower than Spearman's race times

Iv Bolt's race times and Spearman's race times are different.

k It was later determined the Statistical decision was in error, what type of error would it be?

i Type 1 ii Type 2 iii Insufficient data iv Neither