A sociologist is interested in studying short-term memory and gender. The sociologist would like to test the claim that the average duration of short-term memory for males is less than the average duration of short-term memory for females. The sociologist collected a random sample of males and females and conducted a study to record the length of their short-term memory. The summary statistics (in seconds) are shown in the following table.

Assume that the durations are normally distributed and that the population variances are not equal. At the0.10

level of significance, is there sufficient evidence that the average duration of short-term memory for males is less than the average duration of short-term memory for females?

Let1 represent the mean duration of short-term memory for males and

2represent the mean duration of short-term memory for females.

Short-term memory duration for males (in seconds) Short-term memory duration for female

x1=19.2 x2=20.6

s1=2.2 s2=2.6

n1=15 n2=19

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

Provide your answer below:

test statistic =