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 0.05Question 5 The mean cholesterol levels of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/L. Assume that cholesterol levels are normally distributed and a random sample of 20 women are selected. It is possible with rounding for a probability to be 0.0000. a) Identify the individual, variable, type of variable and the random variable X in the context of this problem. The individual is Select an answer The variable information collected from each individual is Select an answer This variable is a Select an answer |variable. The random variable X is as follows: Select an answer v b) List the givens with the correct symbols. ? v = 5.1 mmol/l ? v = 1 mmol/l ? v = 20 c) Identify the random variable X in the context of this problem. Select an answer v d) Find the mean of the sampling distribution of the sample mean. Put the numeric value in the first box and the correct units in the second box. e) Find the standard deviation of the sampling distribution of the sample mean. Put the numeric value rounded to two decimal places in the first box and the correct units in the second box.) Identify the individual, variable, type of variable and the random variable X in the context of this problem. The individual is Select an answer Select an answer the cholesterol level the mean cholesterol level of 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles all women age 45-59 in Ghana, Nigeria, and Seychelles a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychellesj) If you found a mean cholesterol level for a sample of 20 women age 45-59 in Ghana, Nigeria, and Seychelles as high as 5.54 mmol/l, what might you conclude? Select an answer v Select an answer There is no evidence that the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles has changed from 5.1 mmol/l There is evidence that the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles may now be higher than 5.1 mmol/1 There is evidence that the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles may now be lower than 5.1 mmol/lThe variable information collected from each individual is Select an answer V Select an answer the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles all women age 45-59 in Ghana, Nigeria, and Seychelles the cholesterol level 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles the mean cholesterol level of 20 randomly selected women age 45-59 in Ghana, Nigeria, and SeychellesThis variable is a Select an answer variable. Select an answer The random varia qualitative quantitative -- continuous Select an answer qualitative -- discreteThe random variable X is as follows: Select an answer V Select an answer rv X = cholesterol level is normally distributed rv X = a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles rv X = the cholesterol level of a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles rv X = all women age 45-59 in Ghana, Nigeria, and Seychelles rv X = the mean cholesterol level of 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles rv X = the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles\fc) Identify the random variable X in the context of this problem. Select an answer Select an answer d) rv X = the mean cholesterol level of 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles rv X = the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychelles rv X = cholesterol level is normally distributed rv X = the cholesterol level of a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles rv X = the cholesterol level of 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles rv X = a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychellesf} What is the shape of the sampling distribution of the sample mean? Select an answer V Why? Check all that apply: D n is at least 30 D population is not normal [3 J is known B n is less than 30 [3 population is normal [3 cr is unknown g} Find the probability that the sample mean cholesterol level of the 20 randomly selected women age 45- 59 in Ghana, Nigeria, and Seychelles is less than 5.2 mmolll. Round final answer to 4 decimal places. DO NOT use the rounded standard deviation from part e in this computation. Use the EXACT value of the standard deviation with the square root. \\ h] Find the probability that the sample mean cholesterol level of the 20 randomly selected women age 45- 59 in Ghana, Nigeria, and Seychelles is more than 5.54 mmolll. Round final answer to 4 decimal places. DO NOT use the rounded standard deviation from part e in this computation. Use the EXACT value of the standard deviation with the square root. \\ i} Is a mean cholesterol level of 5.54 mmoUl unusually high for 20 randomly.I selected women age 4559 in Ghana, Nigeria, and Seychelles? Select an answer V j} If you found a mean cholesterol level for a sample of 20 women age 45-59 in Ghana, Nigeria, and Seychelles as high as 5.54 mmolfl, what might you conclude? Select an answer V f) What is the shape of the sampling distribution of the sample mean? Select an answer Select an answer uniform unknown right-skewed normal or approximately normal left-skewedi) Is a mean cholesterol level of 5.54 mmol/l unusually high for 20 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles? Select an answer Select an answer Yes, the probability of having a sample mean cholesterol level of at least 5.54 mmol/l is less than or equal to 0.05 Yes, the probability of having a sample mean cholesterol level of at least 5.54 mmol/l is more than 0.05 Yes, the probability of having a sample mean cholesterol level of at most 5.54 mmol/I is less than or equal to 0.05 Yes, the probability of having a sample mean cholesterol level of at most 5.54 mmoll is more than 0.05 No, the probability of having a sample mean cholesterol level of at least 5.54 mmol/l is less than or equal to 0.05 No, the probability of having a sample mean cholesterol level of at least 5.54 mmol/l is more than 0.05 No, the probability of having a sample mean cholesterol level of at most 5.54 mmol/l is less than or equal to 0.05 No, the probability of having a sample mean cholesterol level of at most 5.54 mmol/l is more than 0.05