The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of $40$ sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of $38$ sales representatives reveals that the mean number of calls made last week was $41.$ The standard deviation of the sample is $2\mathrm{.}6$ calls. Using the $0\mathrm{.}025$ significance level, can we conclude that the mean number of calls per salesperson per week is more than $40?$

$H_0$:$40$

$H_1=>40$

a$.$ Compute the value of the test statistic. $($Round your answer to $3$ decimal places.$)$

Value of the test statistic

b$.$ What is your decision regarding $H_0?$

$H_0.$ The mean number of calls is

than $40$ per week.