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An ecologist studied the habitat of a marine reef fish, the six bar wrasse

(Thalassomahardwicke), near an island in French Polynesia. She examined 48 patch

reef settlements at each of two distances from the reef crest: 250 metres and 800

metres. For each patch reef, she calculated the 'settler density', the number of settlers

or juvenile fish per unit of settlement habitat. Before collecting the data, she

hypothesised that the settler density might decrease as distance from the reef

increased, since the way the waves break over the reef crest causes resources (eg.

Food) to tend to decrease as distance from the reefcrest increases.

a. From the normality plots, argue that a t test should be run on this data. l2l

b. Present an argument for which of the three test outputs we should use to test

the ecologist's hypothesis.

c. Perform the test, making sure you include all steps.

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In a certain population of fish, the lengths of individual fish are approximately normally distributed with a mean of 54.0 mm and a standard deviation of 4.5 mm

If one fish is selected at random, what is the probability that its length will be greater than 60 mm?

If four fish were selected at random, what is the probability that the mean of this sample will be greater than 60 mm?

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f(x)= 8x2 + 8x- 12 . How do you convert in vertex form

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Find the surface are of a square prism with a side measure of 10.

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Find the surface area of a rectangular prism with a height of 5, a length of 6, and a width of 3.

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If I roll 5 dice, what are the odds of getting AT LEAST 3 even numbers?

If its not too much trouble I'd love to know how you arrived at the answer, thanks.

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what is the probability of a player getting all the four aces, when playing cards are uniformly distributed among the four players?

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y^2dx=(x^3-xy)dy

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integral ln(sinx)

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compute standard error of estimate for data below

x values= 3,-2,2,5,10

y values= 4,6,-2,0,-3

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