Bud Hooper, a cadet at Winsocki Military Academy, sends an invitation to movie star Lucille Ball to come to Winsocki's big dance. Ball's publicity-hungry agent convinces her to go in order to boost her career. Complications arise when Bud's girlfriend Helen Schlesinger unexpectedly shows up, too.
Alice, the only relatively normal member of the eccentric Sycamore family, falls in love with Tony Kirby, but his wealthy banker father and snobbish mother strongly disapprove of the match. When the Kirbys are invited to dinner to become better acquainted with their future in-laws, things don't turn out the way Alice had hoped.