C o n sid er t h e fo llo w in g c o m p e t i n g h y p o t h e s e s a n d relev a n t su m m ary statistics:

H0: σ2 1 /σ 2 2 ≥ 1 HA: σ2 1 /σ2 2 < 1 Sam ple 1: s 21 = 1 ,3 1 5 a n d n 1 = 17 Sam ple 2 : s21 = 1 ,5 2 3 a n d n2 = 19 C o n d u c t th is left-tailed h y p o t h e s i s t e s t a t t h e 5% sig n ifica n ce level. You m a y w a n t to first c o n v e rt th e a b o v e left-tailed te s t into a right-tailed test by switching th e tw o variances. State your assum ption s. P-399