What statistical procedure would you use to predict length of jump using height? Give reasons. Explain clearly two assumptions that must be met in conducting the test that you have identified in Q7(a). Why it is important these assumptions are met?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A physical education teacher collected data on students’ height and the span of jump (see Table 1 below:)
|
Student |
Height (m) |
Span of jump (m) |
|
1 |
1.63 |
2.34 |
|
2 |
1.80 |
2.48 |
|
3 |
1.75 |
2.29 |
|
4 |
1.86 |
2.62 |
|
5 |
1.83 |
2.64 |
|
6 |
1.71 |
2.30 |
|
7 |
1.75 |
2.44 |
|
8 |
1.96 |
2.67 |
|
9 |
1.60 |
2.39 |
|
10 |
1.68 |
2.47 |
|
11 |
1.80 |
2.60 |
|
12 |
1.87 |
2.75 |
|
13 |
1.74 |
2.40 |
|
14 |
1.67 |
2.46 |
|
15 |
1.64 |
2.33 |
- What statistical procedure would you use to predict length of jump using height? Give reasons.
- Explain clearly two assumptions that must be met in conducting the test that you have identified in Q7(a). Why it is important these assumptions are met?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
