I we will use the hermit dataset hermit 7 pH (basic water) and for < 7 pH
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we will use the hermit dataset hermit<- read.csv(file = "hermit.csv", header = T) This dataset shows experimental results exploring how the pH of water affects the presence of a shell in male and female hermit crabs. Each row is a result from a single hermit crab and contains information on whether it had a shell (yes, no), its gender (male, female), and the pH of the water. 13 Calculate the separate probabilities of having a shell for hermit crabs in water > 7 pH (basic water) and for < 7 pH (acidic water) irrespective of gender. Round your answers to 3 decimal places (4 pts) 14 Using your answer from Question 13, if you have two bodies of water each containing 75 hermit crabs, one which is acidic (< 7 pH), and another which is basic (> 7 pH), what would be the mean and standard deviation of the number of hermit crabs with shells for each body of water? Round your answer to 2 decimal places (4 pts). 15 Using your answer from Question 13, if you had two bodies of water each containing 30 hermit crabs, one which was acidic (< 7 pH), and another which basic (> 7 pH), what would be the probability that at least 15 of the hermit crabs have shells in the acidic water, and separately for the basic water. Round your answer to 3 decimal places and show your working (4 pts). we will use the hermit dataset hermit<- read.csv(file = "hermit.csv", header = T) This dataset shows experimental results exploring how the pH of water affects the presence of a shell in male and female hermit crabs. Each row is a result from a single hermit crab and contains information on whether it had a shell (yes, no), its gender (male, female), and the pH of the water. 13 Calculate the separate probabilities of having a shell for hermit crabs in water > 7 pH (basic water) and for < 7 pH (acidic water) irrespective of gender. Round your answers to 3 decimal places (4 pts) 14 Using your answer from Question 13, if you have two bodies of water each containing 75 hermit crabs, one which is acidic (< 7 pH), and another which is basic (> 7 pH), what would be the mean and standard deviation of the number of hermit crabs with shells for each body of water? Round your answer to 2 decimal places (4 pts). 15 Using your answer from Question 13, if you had two bodies of water each containing 30 hermit crabs, one which was acidic (< 7 pH), and another which basic (> 7 pH), what would be the probability that at least 15 of the hermit crabs have shells in the acidic water, and separately for the basic water. Round your answer to 3 decimal places and show your working (4 pts).
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