How do you compute an interval, centered at a nominal weight when the weight is normally distributed?

and how would you calculate the probability of getting a nominal weight from this weighing more than a certain amount

I'm assuming this question is coming from a statisitcs homework assignment.

You'll want to look-up at probability under a normal distribution,

Given a random variable (for example nominal weight), if that random variable is described by a normal distribution, then the mean and standard deviation is all you need to calculate confidence intervals and the probability of specific weight ranges occurring in the population.

I gave a link to the Wikipedia article for completeness, but there's great resources online and YouTube (kahn academy is a nice resource) to walk you through how the normal distribution works, calculating the probability of specific values occurring, dealing with estimating the shape of a normally distributed variable and much more.

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