1. Which gender has a faster reaction time?
By: XXXXXXXXXXxxxxxx XXXXXXXXXXXxxxxxxxx

2. Hypothesis: Ho: μ1 = μ2 Ha: μ1 < μ2
μ1 = The average reaction time of all males who participated in the test
μ2 = The average reaction time of all females who participated in the test

3. Procedure: Have equal number of boys and girls.
Have one student’s hand hover over one cm and we drop the yardstick
Student must catch it with their whole hand and we will record the distance from 0 cm to the top of their hand
Use the formula and figure out the time it took
Repeat steps 1-3, 3 times per student
Find the average time and record it
Take the average time and use the formula T = Square Root (2D/9.81) to find the average time.
T = time in seconds
D = distance in m

4. Conditions: Normal: We’re assuming this distribution is normal.
Independent: We’re assuming this is independent.
Random: The males/females were randomly assigned.

5. Data (in cm) Trial # 1 2 3 Average Trail # Boy #1 7.8 23.9 17.9 16.533
Girl #1
23.0
31.7
28.0
27.567
Boy #2
17.0
20.5
14.6
17.367
Girl #2
20.2
21.9
25.7 23
Boy #3
7.1
6.9
5.4
6.467
Girl #3
21.8
26.9
23.533
Boy #4
17.6
14.8
17.8
16.733
Girl #4
26.3
26.4
24.0
25.567
Boy #5
31.3
18.7
25.633
Girl #5
23.5
37.7
29.7
30.3
Boy #6
20.1
20.9
23.767
Girl #6
8.0
15.267
Boy #7
16.6
12.9
Girl #7
25.5
35.1
43.9
34.833
Boy #8
23.4
26.0
14.4
21.267
Girl #8
10.3
27.2
14.5
17.333
Boy #9
19.8
10.9
22.4
17.7
Girl #9
15.4
13.2
18.0
15.53
Boy #10
18.2
22.3
13.9
18.133
Girl #10
16.5
23.3
19.2

6. Data (in cm) Trial # 1 2 3 Average Trail # Boy #11 29.7 14.3 15.1 19.7
Girl #11
20.5
13.3
11.1
14.967
Boy #12
13.6
11.7
17.2
14.167
Girl #12
14.6
14.9
12.5
14.0
Boy #13
16.9
14.4
16.067
Girl #13
31.3
19.9
14.5
21.9
Boy #14
13.8
13.1
13.5
Girl #14
13.7
6.4
21.0
Boy #15
10.0
8.5
9.0
9.167
Girl #15
11.5
6.2
19.3
23.33
Boy #16
17.9
18.9
16.867
Girl #16
20.3
17.7
20.4
19.467
Boy #17
31.9
24.3
13.9
23.367
Girl #17
16.3
38.7
23.1
Boy #18
7.2
4.3
8.0
Girl #18
27.1
26.6
21.7
25.133
Boy #19
11.2
12.167
Girl #19
28.1
18.0
30.9
25.667
Boy #20
23.7
21.6
9.9
18.4
Girl #20
36.4
24.9
23..4
28.23

7. Data (in cm) Trial # 1 2 3 Average Trail # Boy #21 17.6 19.9 22.0
19.833
Girl #21
17.2
12.1
21.8
17.033
Boy #22
24.9
26.1
25.3
Girl #22
17.5
26.5
19.7
21.233
Boy #23
27.0
18.6
14.2
19.93
Girl #23
20.2
17.7
17.9
Boy #24
22.5
13.6
20.733
Girl #24
37.3
24.7
23.1
28.367
Boy #25
20.9
19.8
13.9
18.2
Girl #25
15.9
16.9
19.0
17.267
Boy #26
12.7
16.0
Girl #26
15.2
14.8
9.4
13.133
Boy #27
36.4
24.6
25.8
28.93
Girl #27
34.8
17.4
23.0
25.067
Boy #28
7.4
24.1
17.133
Girl #28
12.0
17.667
Boy #29
27.6
30.9
34.5
31.0
Girl #29
27.1
25.767
Boy #30
20.6
22.7
18.3
20.533
Girl #30
25.1
35.6
3.6
21.433

8. Test:
2-SampT Test
List 1: L1 (Average for each male)
List 2: L2 (Average for each female)
Freq 1: 1
Freq 2: 1
μ1: < μ2
Pooled: No t= p=
df=
x̅1: .1938
x̅2: .2075
Sx 1:
Sx 2:
n1: 34
n2: 34
2-SampT Test because we do not have the population standard deviation, we only have the sample standard deviation.

9. Conclusion:
Due to a p-value of at an α of .05, the p-value is smaller than the α and we reject Ho. We have statistically significant evidence to conclude that the average reaction time of all males who participated in the test was less than the average of all females who participated in the test.

10. Confidence Interval x̅ ± t*(s/√n)
We are 95% confident that the true mean of all males a

11. What we’d do differently:
Ensure that the yardstick is right above their hand before dropping it.
Measure where their top of their hand is on the yardstick more accurately.