Question

Central Limit Theorem Statistics Help? Any idea?

Answer 1

A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 22 second grade students was 93.3 wpm. What might you conclude based on this​ result?

Answer 2

Hmm.. so we have \(\mu\) and \(\sigma\)

Answer 3

Sooo....

Answer 4

Is this the complete question ?

Answer 5

Well this is the last part of my question

Answer 6

Because we can't conclude anything unless we know the wpm of students in beginning :P

Answer 7

The reading speed of second grade students is approximately​ normal, with a mean of 91 words per minute​ (wpm) and a standard deviation of 10 wpm

Answer 8

That's the original question^^^ And the question I have asked is part of it.

Answer 9

Great! So now we have something...

Answer 10

All we are supposed to conclude is whether the course had a positive effect of speed of students or not

Answer 11

So how would I figure that out.

Answer 12

We have this formula:

\(z = \cfrac{(x - \mu)}{\sigma / \sqrt(n)}\)

Answer 13

Where n will be the number of students

Answer 14

To see whether the course had a positive effect all we have to do is to find the probability that a random sample of 22 students in the original population having speed more than 93.3 wpm

Answer 15

Or wait.. you don't have to do anything :3

Answer 16

Lol this is such a bad time to confuse me.

Answer 17

Since the mean reading speed of the population has increased we can say that on average there is an increase in reading speed of the population

Answer 18

if you have done hypothesis testing you should do that

Answer 19

This is a new unit so I haven't really done anything.

Answer 20

Looks like I'm stuck too :/

Answer 21

Only thing that's coming into my mind is this:

1. Find out the probability that a random sample of 22 students of original population have wpm > 93.3

But what can we do with this.. I don't know :/

Answer 22

Is that something I'd do?