Question

A machine is used to produce butter whose masses are normally distributed with a mean of $\mu$ grams and a standard deviation of $\sigma$ grams. It is found that 5% of the output from this machine has a mass greater than 85 g and 10% have a mass less than 25 g. Find the values of $\mu$ and $\sigma$, and find the ranges symmetrical about the mean, within which 75% of the masses of the butter produced by this machine lie. [8]

          A machine is used to produce butter whose masses
are normally distributed with a mean of $\mu$ grams
and a standard deviation of $\sigma$ grams. It is found
that 5% of the output from this machine has a mass
greater than 85 g and 10% have a mass less than 25 g.
Find the values of $\mu$ and $\sigma$, and find the ranges
symmetrical about the mean, within which 75% of the
masses of the butter produced by this machine lie. [8]

A machine is used to produce butter whose masses
are normally distributed with a mean of μ grams
and a standard deviation of σ grams. It is found
that 5% of the output from this machine has a mass
greater than 85 g and 10% have a mass less than 25 g.
Find the values of μ and σ, and find the ranges
symmetrical about the mean, within which 75% of the
masses of the butter produced by this machine lie. [8]

Added by Purificaci-N N.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Kari Hasz

07/28/2022

Step 1

We are given that 5% of the output has a mass greater than 85g and 10% have a mass less than 25g. Show more…

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HI need help ASAP, thank you! A machine is used to produce butter whose masses are normally distributed with a mean of mu grams and a standard deviation of sigma grams. It is found that 5% of the output from this machine has a mass greater than 85g and 10% have a mass less than 25g. Find the values of mu and sigma , and find the ranges symmetrical about the mean, within which 75% of the masses of the butter produced by this machine lie. [8] A machine is used to produce butter whose masses are normally distributed with a mean of grams and a standard deviation of o grams. It is found that 5% of the output from this machine has a mass greater than 85 g and 10% have a mass less than 25 g Find the values of and o, and find the ranges symmetrical about the mean, within which 75% of the masses of the butter produced by this machine lie. [8]