Re: Central limit theorem

Hey Alexander. Have you learnt about confidence intervals for the mean?

Re: Central limit theorem

Do you know how to find the mean and variance of sample means?

Re: Central limit theorem

Quote:

Originally Posted by

**Shakarri** Hey Alexander. Have you learnt about confidence intervals for the mean?

I just learn it at later of this chapter.......

Quote:

Originally Posted by

**Lord Voldemort** Do you know how to find the mean and variance of sample means?

Yes

This is how I solve this question:

X ̅~N(x ̅,〖4.55〗^2/50)

P(x ̅-μ<0.8) and I got 0.893 as my final answer, is that correct?

Re: Central limit theorem

You're close. Remember that the question asks the probability that the sample mean differs by less than .8 kg - this means you want the confidence level, not the left tailed p value (which is what you calculated, .8925). Take the answer you got and remove the left tail and you'll have the correct answer.

Re: Central limit theorem