Question

An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?

Answer 1

first calculate the z-score using z = (x-mean)/standard deviation

then calculate the marin of error: z*population standard deviation/sqrt(n)

Answer 2

Voc, I am not sure you need to, or can, make an assumption that it is bell-shaped.

My understanding of the area, which is very calculus-oriented, is that the **standard error** is \(\sigma_m = \dfrac{\sigma}{\sqrt n}\) [so there's already some redundant info in there]

That's the SD of the mean of a sample. It's also the standard error, which I think is what is meant by the expression "margin of error" in the original question.

As an aside:
{There is no Stats sub-heading within QC. Or on inferior products such PA. Even though, academically, IMHO, it is treated as a separate subject. And even though it is an incredibly interesting subject-area. }

Answer 3

Am going to try using "Physics" as a Stats platform, as it is really interesting, I need a refresher, and no-one ever goes to Physics. Just like with OS :(

Answer 4

I can ask Ultri to add one ^^

Thank you for your input

Answer 5

TU Voc

I think using Physics for stats is a really smart way to talk about statistical physics. Jay can add another subject-- but there are waaaaaay tooo many things you can already click on. you reckon?!

Answer 6

A lot of the subjects are dead or dead-ish

But I'll see what he thinks

Answer 7

personal opinion: the front end is the worst bit. you click on OS (qv QC/PA), you get invited to be excluded: as in: "do you already have an account" (??)

because, if not, you can't even look at the site. it's like the coding looks is OK but is from a template, and the wrong template. the website is ultimately inaccessible

Answer 8

in the old days there was a LOT of lag :)

Answer 9

I was thinking of making it so you can preview the site before signing up (you can currently, so long as you know the url is /study)

and OS was very laggy x.x

Answer 10

Anywho, if you like I can indeed at a statistics subject

Answer 11

it would probably be a sub-category of math though, :thinking_face:

Answer 12

Stats is very much a self-standing line of enquiry. IMHO.

great job on sorting out the lag, BTW

Answer 13

Well there needed to be at least 1 lag free study site (lol)

Answer 14

Socratic is lag free and it's ......

Answer 15

🤣

Answer 16

Reminds me more of brainly and stackoverflow combined then OS though :P

Anywho, I have added the "statistics" subject

Answer 17

Cheers mate 👍