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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.
2
votes
Understanding the Shapiro-Wilk normality test
It's a littlebit rough to say "the chance that the population is normally distributed is too low", however you are right with your short interpretation to assume or interpret that the data is not norm …
3
votes
Accepted
How can I find the value $Q$ for which the given region is a confidence region for $\mu$ wit...
Note, that for any standard normal variable
$$Z \sim N(0,1) $$
it holds that
$$ Z^2 \sim \chi_1^2$$.
I suppose this is what you need here.
1
vote
How does the probablity a sandwich is more than 12 inches relate to how long the sandwich ac...
I'd say it is quite hard to estimate actual lengths since you do not know about the distribution of the random variable "length of a sandwich". However, maybe some of the fellow colleagues here have a …