Question

In: Statistics and Probability

"Hit" Group "Smashed Into" Group 25 50 25 45 34 55 30 40 36 45 37...

"Hit" Group

"Smashed Into" Group

25

50

25

45

34

55

30

40

36

45

37

41

31

50

35

35

30

37

35

45

30

55

25

50

20

45

25

43

30

42

24

40

34

36

33

45

37

50

38

41

A. Null Hypothesis?

Ha: Smashed into group estimated higher speed than hit group

Ho: Smashed into group estimated lower or same speed than hit group(directional hypothesis)

B. Alternative hypothesis?

Ha: Smashed into group estimated higher speed than hit group

Ha: Smashed into group estimated lower or same speed than hit group

C. Risk Level?

.01

.5

.05

.25

D. What is the best statistical test to use?

correlation test

t-Test for dependent samples

t-Test for independent samples

z-test

E. Compute the test statistic.

Solutions

Expert Solution

A. Null Hypothesis?

Ho: Smashed into group estimated lower or same speed than hit group(directional hypothesis)

B. Alternative hypothesis?

Ha: Smashed into group estimated higher speed than hit group

C. Risk Level?

.05

D:

t-Test for independent samples

E:

Let sample 1: Hit group

Sample 2: "Smashed Into" Group

Following table shows the calculations for mean and sd for sample 1:

X1 (X1-mean)^2
25 32.49
25 32.49
34 10.89
30 0.49
36 28.09
37 39.69
31 0.09
35 18.49
30 0.49
35 18.49
30 0.49
25 32.49
20 114.49
25 32.49
30 0.49
24 44.89
34 10.89
33 5.29
37 39.69
38 53.29
Total 614 516.2

Following table shows the calculations for mean and sd for sample 2:

X2 (X2-mean)^2
50 30.25
45 0.25
55 110.25
40 20.25
45 0.25
41 12.25
50 30.25
35 90.25
37 56.25
45 0.25
55 110.25
50 30.25
45 0.25
43 2.25
42 6.25
40 20.25
36 72.25
45 0.25
50 30.25
41 12.25
Total 890 635

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