The IRS is interested in the number of individual tax forms prepared by small accounting firms. To investigate, they sampled $50$ public accounting firms with $10$ or fewer employees in the Dallas$-$Fort Worth area. The following frequency table reports the results of the study. Assume the sample mean is $44\mathrm{.}8$ clients and the sample standard deviation is $9\mathrm{.}37$ clients. Is it reasonable to conclude that the sample data are from a population that follows a normal probability distribution?

$\backslash$table$[[$Number of clients,Frequency$],[20$ up to $30,1],[30$ up to $40,15],[40$ up to $50,22],[50$ up to $60,8],[60$ up to $70,4]]$

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$H_0$ : The population of clients follows a normal distribution.

$H_1$ : The population of clients does not follow a normal distribution.

Required:

a$.$ State the decision rule. Use the $0\mathrm{.}05$ significance level.

Note: Round your answer to $3$ decimal places.

Reiect Hh if chi$-$square?

$5\mathrm{.}991$

$\backslash$table$[[$Reject $H_0$ if chi$-$square $>,$