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Homework 2 Directions Write a report of your answers on separate sheets of paper taking care to prepare a legible and organized report Put your name on your report Answer questions in order and underline or draw a box around any final numerical answers Show your work for all answers and include the company name you obtained the data from Full credit will not be given to answers without work and partial credit may be given when work is shown Write any written answers or explanations clearly and be as neat as possible You will have to submit your assignment on Canvas as a pdf file single file please You can embed pictures of your homework in a Word file and save it as pdf Pro tip use a scanning app such as CamScanner It s free and it will produce quality pdf files Notes on iPhones also a allows you to scan documents and save to pdf 1 You will need the same dataset used for problem 3 in homework 1 the dataset obtained from the yahoo website with the company you selected Use Excel to calculate the average and standard deviation of the close data column Assume that these two numbers represent the population parametric mean and population standard deviation respectively for the variable length in cm in a population of a species of fish Attach a printout of the data to your homework and write down the ticker code on it a Calculate the probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average x will be equal to 2 b Calculate the probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average x 2 c Calculate the probability of sampling at random a fish that has a size between the two values x 2 x 2 used in parts a and b respectively d Calculate the 25th and 75th percentiles of fish size for the population using the normal distribution table e Imagine that 5 individuals are sampled at random from this fish population Calculate the probability that the average calculated will be less than the value 3 NOTE Assume the variable is normally distributed and use bell shaped curve diagrams to shade the areas that correspond with the answers to questions a through d 2 Write the last two digits of your 1000 student ID number with a decimal point in between these two digits Assume that this number is the average number of squirrels you come across when you walk from the Life Science Building LS to the Engineering Research Building ERB Tomorrow you plan to walk from LS to ERB and you wonder what it the probability of observing at most three squirrels Assume that squirrels are randomly distributed and that each squirrel is an independent observation NOTE if your last two digits happen to be both 0 use 4 2 as the average number of squirrels encountered 3 Write the last digit of your 1000 student ID number You know that in a specific population of rainbow trout 15 of the individuals carry intestinal parasites Assume you obtain a random sample of 9 individuals from this population a Calculate the probability that last digit of your ID number carry intestinal b Calculate the probability that at least two individuals carry intestinal parasites NOTE you can still calculate a if your last digit is 0 parasites


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UTA BIOL 2300 - Homework 2

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