IQuestion1 7| For a 4units class like Statistics, students should spend average of 12 hours per week studying for the class. A surveyr was done on students, and the distribution of total study hours per week is bellshaped with a mean of 14 hours and a standard deviation of 3 hours. Use the Empirical Rule to answer the following questions. a} 68% of the students spend between and hours on this class. b] What percentage of the students between 8 and 1? hours on this class? :] 96 c} What percentage of the students above 5 hours? :] 96 I. Check Answer Question 2 Latasha and Jeremiah began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Latasha took a test in Social Studies and earned a 77.4, and Jeremiah took a test in Science and earned a 61.8. Use the fact that all the students' test grades in the Social Studies class had a mean of 73 and a standard deviation of 10.7, and all the students' test grades in Science had a mean of 63.5 and a standard deviation of 10.8 to answer the following questions. a) Calculate the z-score for Latasha's test grade. 2 b) Calculate the z-score for Jeremiah's test grade. 2 c) Which person did relatively better? Latasha O Jeremiah O They did equally well. Check AnswerQuestion 3 A dishwasher has an average lifetime of 12years with a standard deviation of 2.7years. Assume the dishwawher's lifetime is normally distributed. How long do the 29% of these dishwashers with the shortest lifetime last? (Give the answer rounded to 2 decimal places.) years or less. Check AnswerQuestion 4 The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. Select an answer b) Find the probability that a randomly selected Atlantic cod has a length of 41.08 cm or more. c) Find the probability that a randomly selected Atlantic cod has a length of 57.38 cm or less. d) Find the probability that a randomly selected Atlantic cod has a length between 41.08 and 57.38 cm. e) Find the probability that randomly selected Atlantic cod has a length that is at least 62.99 cm. f) Is a length of 62.99 cm unusually high for a randomly selected Atlantic cod? Why or why not? Select an answer g) What length do 72% of all Atlantic cod have more than? Round your answer to two decimal places in the first box. Put the correct units in the second box. Check Answera) State the random variable. Select an answer Select an answer b) rv X = the mean length of a sample of Atlantic cod tic rv X = the length of a randomly selected Atlantic cod rv X = a randomly selected Atlantic cod ry X = the mean length of all Atlantic cod rv X = length is normally distributedf) Is a length of 62.99 cm unusually high for a randomly selected Atlantic cod? Why or why not? Select an answer Select an answer g) yes, since the probability of having a value of length at least that high is less than or equal to 0.05 yes, since the probability of having a value of length at the most that value is less than or equal to 0.05 no, since the probability of having a value of length at least that high is less than or equal to 0.05 no, since the probability of having a value of length at the most that value is less than or equal to 0.05 yes, since the probability of having a value of length at least that high is greater than 0.05 yes, since the probability of having a value of length at the most that value is greater than 0.05 no, since the probability of having a value of length at least that high is greater than 0.05 no, since the probability of having a value of length at the most that value is greater than 0.05