$($a$)$ Find the sample standard deviation. Round the answer to at least four decimal places.

Espa$$ol

The sample standard deviation $s$ is $0\mathrm{.}0602.$

Part $2$ of $3$

$($b$)$ Construct a $90\%$ confidence interval for the population standard deviation $.$ Round the answers to at least two decimal places.

A $90\%$ confidence interval for the population standard deviation is

Part: $\frac{2}{3}$

Part $3$ of $3$

$($c$)$ The goal of the quality control manager is for the population standard deviation of the weights to be less than $0\mathrm{.}10.$ Based on the confidence interval,

is it reasonable to believe that the goal has been met?