CLT and t-distribution in Practice Exercises

library(downloader) url <- "https://raw.githubusercontent.com/genomicsclass/dagdata/master/inst/extdata/femaleMiceWeights.csv" filename <- "femaleMiceWeights.csv" if(!file.exists("femaleMiceWeights.csv")) download(url,destfile=filename) dat <- read.csv(filename)

Question 1: The result of 4 and 5 tell us that we know the distribution of the difference between our estimate and what we want to estimate, but don't know. However, the equation involves the population standard deviation X, which we don't know. Given what we discussed, what is your estimate of X?

Question 2:

Use the CLT to approximate the probability that our estimate X is off by more than 2 grams from X.

Result 4 is

We don't know X , but want to use X to understand X. Which of the following uses CLT to understand how well X approximates X ?

X follows a normal distribution with mean X and standard deviation X12 where X is the population standard deviation.

Result 5 is

The result above tells us the distribution of the following random variable: Z12XXX. What does the CLT tell us is the mean of Z (you don't need code)?

0