Question

You collect 53 samples of hair from baby river otters and find that they are, on average, 22.6 mm long, with a standard devaition of 15.2mm.

Then you collect 41 samples of hair from baby sea otters and find that they are, on average, 26.4 mm long, with a standard deviation of 11.4 mm.

Is there statistical evidence at the 0.05 significance level that the true mean of baby sea otter hair length exceeds the true mean of baby river otter hair length by more than 3 mm? Use a test of your choice.

Answer 1

Population mean S ye. mcan of bahy sea ottre haie ength yuel to mean of baby evee sttre hdie hength th: -4134 2. i "Three .is Signif cance. Difteer10 Be t n popn moons y moe than 3 nn ie teue meotn of Bab sea oltre haie ex cee ds the tsu e 不可 22.6 26 6 Test strhshc Table Value of 2 - one side A lktenohve. ( Rignt taile d) 121 ) 64 calculated 12-1 e l. 74<>-fabulaled 12/ í_cL7 onclusion-叫1742. 1e "The g e )s signi dance Dffeeonce Bfttn Ln ơthce tooeds--Eue mean of Ba b sea ottee hdieJength Pop" mealns exceedo the teue mean ot Bab evee otkce have leh