Maths, Addmaths and Statistics: Post your doubts here!

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I have a doubt. How do you know when to use what in the Further Stat questions??? Esp. hypothesis-testing!
 
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Can you please provide an example question?
For example :

A college careers officer investigates the income at age 24 of a group of students who left school at 16, and a group who stayed on to take their A-Levels.
The results he finds are summarized in the table.
16-year-old leaversA-Level leavers
Mean156164
Sample estimate of variance673593
Sample size3728

Show, using a 2-sample t-test, that the hypothesis that those staying on at school have higher incomes at age 24 is rejected, on the evidence of this sample.
 
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For example :

A college careers officer investigates the income at age 24 of a group of students who left school at 16, and a group who stayed on to take their A-Levels.
The results he finds are summarized in the table.
16-year-old leaversA-Level leavers
Mean156164
Sample estimate of variance673593
Sample size3728
Show, using a 2-sample t-test, that the hypothesis that those staying on at school have higher incomes at age 24 is rejected, on the evidence of this sample.
can someone please help with this...?
 

PlanetMaster

XPRS Administrator
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For example :

A college careers officer investigates the income at age 24 of a group of students who left school at 16, and a group who stayed on to take their A-Levels.
The results he finds are summarized in the table.
16-year-old leaversA-Level leavers
Mean156164
Sample estimate of variance673593
Sample size3728
Show, using a 2-sample t-test, that the hypothesis that those staying on at school have higher incomes at age 24 is rejected, on the evidence of this sample.
To test the hypothesis, we generally need to find the z-score also known as Test Statistic and then use it to find the p-value.
If \(p>0.05\), this means that the mean values have no difference and the hypothesis is rejected.

Substituting your values in this online calculator, we get \(z=-1.275\) and \(p=0.1036\) and since \(p\) is greater than \(0.05\), we can say the hypothesis is rejected.

P.S. I am not 100% sure about this so please take this with a grain of salt.
 
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To test the hypothesis, we generally need to find the z-score also known as Test Statistic and then use it to find the p-value.
If \(p>0.05\), this means that the mean values have no difference and the hypothesis is rejected.

Substituting your values in this online calculator, we get \(z=-1.275\) and \(p=0.1036\) and since \(p\) is greater than \(0.05\), we can say the hypothesis is rejected.

P.S. I am not 100% sure about this so please take this with a grain of salt.
Thank you soo much! That's exactly what the marking scheme says so you are perfectly correct! Cheers!
 
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