CJN 101-A random sample is drawn from a population

10/25/2016 1. Assignment Print View Award: 16.66 points A random sample is drawn from a population with mean ? = 55 and standard deviation ? = 4.6. Use Table1. a. Is the sampling distribution of the sample mean with n = 13 and n = 37 normally distributed? Yes, both the sample means will have a normal distribution.No, both the sample means will not have a normal distribution.No, only the sample mean with n = 13 will have a normal distribution.No, only the sample mean with n = 37 will have a normal distribution. b. Can you use the standard normal distribution to calculate the probability that the sample mean fallsbetween 55 and 57 for both sample sizes? Yes, for both the sample sizes, standard normal distribution could be used.No, for both the sample sizes, standard normal distribution could not be used.No, only for the sample size with n = 13, standard normal distribution could be used.No, only for the sample size with n = 37, standard normal distribution could be used. c. Calculate the probability that the sample mean falls between 55 and 57 for n = 37. (Roundintermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to4 decimal places.) Probability HintsHint #1 ReferencesWorksheet Difficulty: 3 Hard Learning Objective: 07­03 Describe thesampling distribution of the sample mean. 2. Award: 16.66 points http://ezto.mheducation.com/hm.tpx 1/5 10/25/2016 Assignment Print View A random sample of size n = 46 is taken from a population with mean ? = ?8.7 and standard deviation ? = 3.Use Table 1. a. Calculate the expected value and the standard error for the sampling distribution of the sample mean.(Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal placeand "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample mean is less than ?9? (Round “z” value to 2 decimal places, andfinal answer to 4 decimal places.) Probability c. What is the probability that the sample mean falls between ?9 and ?8? (Do not round intermediatecalculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.) Probability ReferencesWorksheet Learning Objective:07­03 Describe thesampling distributionof the sample mean. Difficulty: 3Hard Learning Objective:07­04 Explain theimportance of thecentral limit theorem. 3. Award: 16.66 points Suppose that the miles­per­gallon (mpg) rating of passenger cars is a normally distributed random variablewith a mean and a standard deviation of 38.9 and 3.1 mpg, respectively. Use Table 1. a. What is the probability that a randomly selected passenger car gets more than 40 mpg? (Round “z”value to 2 decimal places, and final answer to 4 decimal places.) Probability b. What is the probability that the average mpg of three randomly selected passenger cars is more than 40mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) Probability c.http://ezto.mheducation.com/hm.tpx 2/5 10/25/2016 Assignment Print View If three passenger cars are randomly selected, what is the probability that all of the passenger cars getmore than 40 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) Probability ReferencesWorksheet Difficulty: 3 Hard Learning Objective: 07­04 Explain theimportance of the central limit theorem. 4. Award: 16.66 points Consider a population proportion p = 0.44. a­1. Calculate the expected value and the standard error of with n = 14. (Round "expected value" to 2decimal places and "standard deviation" to 4 decimal places.) Expected value Standard error a­2. Is it appropriate to use the normal distribution approximation for ? Yes No b­1. Calculate the expected value and the standard error of with n = 34. (Round "expected value" to 2decimal places and "standard deviation" to 4 decimal places.) Expected value Standard error b­2. Is it appropriate to use the normal distribution approximation for ? Yes No 5. Award: 16.66 points http://ezto.mheducation.com/hm.tpx 3/5 10/25/2016 Assignment Print View A random sample of size n = 145 is taken from a population with population proportion P = 0.61. Use Table1. a. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.(Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample proportion is between 0.50 and 0.70? (Round “z” value to 2decimal places, and final answer to 4 decimal places.) Probability c. What is the probability that the sample proportion is less than 0.50? (Round “z” value to 2 decimalplaces, and final answer to 4 decimal places.) Probability ReferencesWorksheet Difficulty: 3 Hard Learning Objective: 07­05 Describe thesampling distribution of the sampleproportion. 6. Award: 16.70 points A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. Themanagement decides to evaluate the satisfaction surveys of its next 50 customers. The dealer will be finedif the number of customers who report favorably is between 29 and 41. The dealership will be dissolved iffewer than 29 customers report favorably. It is known that 71% of the dealer’s customers report favorably onsatisfaction surveys. Use Table 1. a. What is the probability that the dealer will be fined? (Round “z” value to 2 decimal places, and finalanswer to 4 decimal places.) Probability b. What is the probability that the dealership will be dissolved? (Round “z” value to 2 decimal places,and final answer to 4 decimal places.) Probability Referenceshttp://ezto.mheducation.com/hm.tpx 4/5 10/25/2016 Assignment Print View Worksheet Difficulty: 3 Hard Learning Objective: 07­05 Describe thesampling distribution of the sampleproportion. http://ezto.mheducation.com/hm.tpx 5/5

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