Mathematics, 23.11.2019 02:31, dondre54
Ilove sharks! in fact, before i became a statistician, i wanted to be a marine biologist specializing in shark research (i even went to school for it for a little while). of particular interest to me were hammerheads and great whites.
great white sharks are big and hungry. the lengths of 44 great white sharks tagged near false bay, south africa had a mean of 15.6 ft with standard deviation 2.5 feet. based on this sample, is there evidence that the mean length of great white sharks near false bay are greater than 15 feet? use a significance level, α = 0.10.
state the null hypothesis.
Answers: 3
represent the sample mean for the length of great white sharks
represent the sample standard deviation for the length of great white sharks
significance level for the test
so we will can use the t approximation. The sample mean have the following distribution
and the degrees of freedom we can calculate the critical value, since 
we need a value from the t distribution with 43 degrees of freedom that accumulates 0.1 of the area on the right or 0.9 of the area on the left.
, we can reject the null hypothesis at 0.1 level of significance.
so we have enough evidence to reject the null hypothesis at 10% level of significance.
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Ilove sharks! in fact, before i became a statistician, i wanted to be a marine biologist specializi...
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