Question

In: Statistics and Probability

data on how eduation is importnat to children living in poverty examples of data how after...

data on how eduation is importnat to children living in poverty

examples of data how after achool programs help in childrens education

Solutions

Expert Solution

Education is the most important thing in everyone's life , It is vital to gain knowledge and expertise in their area of interest to get a good job earning them and their families a living .

For the poorer community, the education becomes more vital because they can't depend on their families for living for a longer time . Studies show that the families with children having proper education became economically stable than the those families with children without education .

The following data gives us the salaries (in 100 dollars)of 15 families of two groups (one with properly educated and other without proper education)

Educated 68 76 78 70 81 77 72 75
Uneducated 34 39 38 36 35 41 40

Since we are using two independent groups , we use two sample independent t test to compare the means of 2 groups and we get p value less than .05 which implies that educated earn more than uneducated

So education is vital for poor children

From the school you are studying , get the students along with their last examination marks

From the non-tution group of children select a sample of 5 children and the same from the tution group and their last exam scores are given below

Tution students

87 84 91 97 94

Non-Tution students

68 45 39 58 51

On seeing the table itself we can identify tution students do well than the non tution students which is evident from the fact the mean of the two groups are 90.6 and 52.2 and the variance among the group is low for rich (27.3) when compared to the rich group (127.7).

Now the class teacher wants to help the poorly studying students to improve their grades and she believes that those students don't spend more time at home on studies .

So she asks the students to come to her home for tutions and this continues for 3 months .

After 3 months she again collects the score of the children sampled before and it is as follows

Tution students 90 81 86 91 95
Non Tution students 78 76 80 79 74

Here also the mean score of tution is high when compared to the non tutioner but the mean score for non tutioner has increased to 77.4 and the variation is just 5.8 compared to 28.3 of the already tution going group which implies that the tution makes the weak students study well and the coaching is reaching all because the variation is low

We can use paired sample t test to check whether the coaching impacts on education at the given level of significance .

If the teacher continues her tutions the weak students can score more


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