Gestation Periods of Humans. mean of 266 days and a standard deviation of 16 days.

a. Use the technology of your choice to simulate four random samples of 50 human gestation periods each.

b. Obtain a normal probability plot of each sample in part (a).

c. Are the normal probability plots in part (b) what you expected? Explain your answer.

Simulate the random human gestation period using technology of your choice.

The number of samples, standard deviation and mean is given,

$n=50$

$STD=16$

Mean$=266$

Let's take $n=50$

Then, in MATLAB, generate a random matrix with a standard deviation of and a mean of.

To make a matrix, we'll utilize the "norminv" function.

We'll use the function "rand" $(50,1)$to generate a random sample.

Program:

Query:

We started by determining the quantity of samples.

Then, using the "norminv" function, make a matrix with a standard deviation of $16$and a mean of $266$.

Create a normal probability plot for the random sample from part (a).

Let's take $n=50$

Create a random matrix in MATLAB with a standard deviation of $16$and a mean of $266$

To make a matrix, we'll utilize the "norminv" function.

We'll use the function "rand $(50,1)$" to generate a random sample.

Then, using the function "normplot," make a normal probability plot.

Program,

Query:

We started by determining the quantity of samples.

Then, with the help of the "norminv" function, generate a matrix with a standard deviation of $16$and a mean of $266$.

Then, using the function "normplot," draw a graph for normal probability.

Explain your answer what would you expect from normal probability plot from part (b).

If the probability plot is regular linear, the variables are approximately normally distributed.

The variables are not approximately normally distributed if the plot is not regular linear.