In: Statistics and Probability
Q8. Using the Student's distribution table, answer the following questions: a) In order to examine whether the socio-economic levels of families have an impact on the development of children, the height of the boys of the same age from the families with high and low socioeconomic level was measured and the following findings were obtained.
High |
Low |
|||
Ẋ |
S |
Ẋ |
S |
|
Height (cm) |
107.4 |
6 |
104.2 |
5 |
Number of children |
30 |
40 |
Since it is known that it fits the normal distribution in both distributions, are the lengths of these two groups of children different? First write the hypothesis and test it at the error level of α = 0.05 and interpret the results.
b) A researcher who investigates whether the order of birth affects the intelligence level of the child or not, acquires the following findings as a result of the intelligence test applied on the children.
Birth in the first 3 |
Birth in the 4th and above |
|
Ẋ |
110 points |
105 points |
S |
10 points |
12 points |
Number of children |
30 |
32 |