Claim: The standard deviation of pulse rates of adult males is more than $12bpm.$ For a random sample of $142$ adult males, the pulse

rates have a standard deviation of $12\mathrm{.}6bpm.$ Complete parts $($a$)$ and $($b$)$ below.

a$.$ Express the original claim in symbolic form.

bpm

$($Type an integer or a decimal. Do not round.$)$

b$.$ Identify the null and alternative hypotheses.

$H_0$:gradgrad,gradpm

$H_1$:gradgrad $bpm$

$($Type integers or decimals. Do not round.$)$