Question

help

Answer 1

I may try. What is it that you dont understand in the problem?

Answer 2

Let me see because question a) is not clear enough. Does it mean all the 100 students get a score of 541.4?

Answer 3

That's what I was thinking

Answer 4

any luck @CarlosGP ?

Answer 5

@LIKEABOSS1996 do you know how to do it?

Answer 6

Nope sorry!

Answer 7

a) Is a tricky question, let me give it a thought

Answer 8

alright

Answer 9

Is this alegbra 2 or somethin

Answer 10

Let us assume there is a problem of wording in the problem and in both cases refers to average score of the 100 students who, by the way, have been chosen randomly. If it is the case, I get for x=541.4 a P-value =0.0505>0.05, therefore it is not statistically significant (we fail to reject null hypothesis) and we may assume the 100 students still keep the characteristics of the population and may conclude that the improvement program has not worked out.
For x=541.5, I get a P-value=0.0495<0.05 and that is statistically significant , which means we may reject the null hypothesis and conclude the improvement program has worked out. Rejecting the null hypothesis means we might support the claim that this 100 students belong to a population with mean>525.

This would be a normal problem but in my opinion is too borderline as we have to be accurate up to the fourth decimal place in order to tell significances apart. That is why I think it is a tricky (fishy?) one

Does it make sense to you?

Answer 11

Yes, it makes sense. Thank you so much!

Answer 12

you are welcome

Answer 13

Just for your information. From Maths point of view is correct, however, the fishy thing is that according to the wording of a), having all students with exactly the same score means a Standard deviation of zero, which is not likely to happen no matter how good the program is.