Question

The article "Some Parameters of the Population Biology of Spotted Flounder (Ciutharus linguatula Linnaeus, 1758) in Edremit Bay (North Aegean Sea)" (D. Turker, B. Bayhan, etal., Turkish Journal of Veterinary and Animal Science, 2005:1013-1018) reports that a sample of 482 female spotted flounder had an average weight of 20.95 g with a standard deviation of 14.5 g, and a sample of 614 male spotted flounder had an average weight of 22.79 g with a standard deviation of 15.6 g. Can you conclude that the mearn weight of male spotted flounder is greater than that of females?

Answer 1

Answer:

We can conclude at 5% significant level that mean weight of male spotted flounder is greater than that of females

Explanation:

                    Sample size n             Mean                     Std deviation

Females   X        482                           20.95 g                 14.5 g

Males       Y         614                            22.79 g                 15.6 g

The above information is given for samples taken at random for males and females spotted flounder

$H_0: \bar x = \bar Y\\H_a:\bar x < \bar y$

(left tailed test at 5% significance level)

The mean of Group One minus Group Two equals -1.8400

standard error of difference = 0.921

t = 1.9989

 df = 1094

p value = 0.0459

Since p <0.05, our alpha at 5% significance level we reject H0

We can conclude at 5% significant level that mean weight of male spotted flounder is greater than that of females