Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 89 males and 111

females in their country. The mean and standard deviation of the spleen lengths for the males were 11.2 cm and 0.9 cm, respectively, and those for the females were 10.3 cm and 0.7 cm, respectively. At the 1% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country?

Next, compute the test statistic.

a. t=

Finally, determine the P-value.

b. P =