go to Colab Google

or use your local Python environment to execute the following script and

generate your unique dataset.

import numpy as np

from scipy import stats

sid $=66203$

sample$\_$size $=13$

rng $=$ np$.$random.default$\_$rng$($sid$)$

numbers $=0\mathrm{.}2+2\mathrm{.}25*$rng$.$normal$($size$=$sample$\_$size$)$

print$(\text{'}$These are the random samples we generate'$)$

print$($numbers$)$

print$(\text{'}$Sample mean'$)$

print$($numbers$.$mean$())$

print$(\text{'}$Sample standard deviation'$)$

print$($numbers$.$std$()$

Step $2.$ Execute the code to obtain the samples, and sample mean, and

sample standard deviation of your random samples.

Report the sample mean and sample standard deviation below.

For the next two steps, assuming that we only know the sample

standard deviation instead of the population standard deviation.

Step $3.$ Calculate the $95\%$ confidence interval of your sample mean

estimate. The calculation could be Excel, calculator, or Python based.

Report the $95\%$ CI below.

Step $4.$ Based on the samples, conduct a Hypothesis Testing on

whether the population mean equals to zero, with a significance level

$95\%.$ It could be Excel, calculator, or Python based.

Do you believe the population mean is equal to zero? Why