QUESTLON $3$

$3\mathrm{.}21$ Chapter $3$ Question $21$ from MATLAB for Engineers $($Ffith edition$)$ by Holly Moore $-$ with modifications

Suppose you are designing a container to ship sensitive medical materials between hospitals. The container needs to keep the contents within a specified temperature range. You have created a model predicting how the container responds to the exterior temperature, and you now need to run a simulation.

a$.$ Create a vector of times from $0$ to $120$ minutes in increments of $30$ seconds $(0\mathrm{.}5$ minutes$).$

Then use randn to generate a vector of random, normally distributed values to represent temperature. Use length to ensure that the temperature vector is the same length as the times vector.

We want the temperatures to have a mean of $70$ degrees F and a standard deviation of $2$ degrees. To get this, multiply your temperatures vector by $2$ and add $70.$

b$.$ Plot the data with time on the $x$ axis and temperature on the $y$ axis. Title and label your plot.

c$.$ Find the maximum temperature, the minimum temperature, and the times at which they occur. This will require you to get the position $($or index$)$ of the max and min using code like this:

$[$max temp, index$]=$ max $($temperatures$)$ i

And then use the index value to find the corresponding value in the times vector, Display your output,

Your output should look similar to the followingt

Max temp of $74,85$ at time $69,5$

Min temp of $65,01$ at time $48,5$ I