A quality control manager, who works at a textile facility, claims that the mean number of shirts produced from their new production line is higher than that of the older production line. The quality control manager collected a random sample of production days and recorded the number of shirts produced from the new production line and older production line. The summary statistics (in number of shirts per day) are shown in the following table.

Assume that the shirt amounts are normally distributed and that the population variances are not equal. At the0.025

level of significance, is there sufficient evidence that the mean number of shirts produced from their new production line is higher than that of the older production line?

Let1 represent the mean number of shirts from the new production line and2 represent the mean number of shirts from the old production line.

New production line (number of shirts per day) Older production line (number of shirts per day)x

x1=821.3 x2=796.5

s1=41.9 s2=37.2

-n1=10 n2-14

Calculate the test statistic. Round your answer to the nearest hundredth.

Provide your answer below:

test statistic =