I solved my own problem by changing the SQL code in wp-slimstat.php for creating the wp_slim_countries table to the following:
$country_table_sql =
"CREATE TABLE IF NOT EXISTS {$wpdb->base_prefix}slim_countries (
ip_from INT UNSIGNED DEFAULT 0,
ip_to INT UNSIGNED DEFAULT 0,
country_code CHAR(2) DEFAULT '',
CONSTRAINT ip_from_idx PRIMARY KEY (ip_from, ip_to)
)$use_innodb";
Apparently MySQL 5.0.92 did not like the original SQL code and never created the wp_slim_countries table when the plugin was activated.