At Springfield University, the weights, in kg, of 10 chinchilla rabbits and 10 sable rabbits were recorded. The aim was to find out whether chinchilla rabbits are generally heavier than sable rabbits. The results obtained are summarized in the following table. | Weight of chinchilla rabbits, kg | 4.9 | 4.2 | 4.1 | 4.4 | 4.3 | 4.6 | 4.0 | 4.7 | 4.5 | 4.4 | | Weight of sable rabbits, kg | 4.2 | 4.1 | 4.1 | 4.2 | 4.5 | 4.4 | 4.5 | 3.9 | 4.2 | 4.0 | A -test is to be performed at the 5% significance level.
Write down the null and alternative hypotheses.
(let population mean for chinchilla rabbits, population mean for sable rabbits) (A1) (A1) Note: Accept an equivalent statement in words, must include mean and reference to "population mean" / "mean for all chinchilla rabbits" for the first to be awarded. Do not accept an imprecise "the means are equal".
Find the -value for this test.
-value (A1) Note: Award for an answer of , from "unpooled" settings on GDC.
Write down the conclusion to the test. Give a reason for your answer.
(R1) (there is sufficient evidence to) reject (or not accept) (A1) (there is sufficient evidence to suggest that chinchilla rabbits are heavier than sable rabbits) Note: Do not award R0A1. Accept 'accept '.