QUESTION 1 The weight of the contents ofa can of Campbell's minestrone soup can be modelled by a normal distribution with a mean of 439.9 grams and a standard deviation of 3.2 grams. A random sample of 15 cans is selected for quality control testing. Determine the probability that (4 decimal places) 'I. A randomly selected can weighs more than 437.5 grams, 2. The sample mean of the cans taken for quality control testing will NOT be within the target range of 438.0 to 442.0 grams. QUESTION 2 The life of cell batteries is normally distributed with a mean of 81.2 hours and a standard deviation of 18.7 hours. What is the maximum time (in hours) that the worst 13% of batteries last? (2 dec pl) QUESTION 3 Fortune 500 Magazine claimed the average age of all US Chief Executive Ofcers (CEOs) was 57.2 years with a standard deviation of 5.9 years. If a random sample of 40 US CEOs was selected, what is the probability that the sample average will be below 55 years of age? Give your answer correct to four decimal places. QUESTION 4 The HR manager ofa large department store believes the number of resignations per week of casual staff can be approximated by a normal distribution with a mean 27.2 resignations per week and variance of 60.6 resignations per week squared. From a large amount of historical data available on the HR data base regarding weekly resignations for casuals, a sample of 52 weeks was selected. Between which two values should the middle 90% of all sample averages of resignations per week of casual staff lie? Give only the upper value for this range and state the answer to 2 decimal places. QUESTION 5 4 points Save Answer A study was conducted to determine the duration of a typical consultation in an urban medical practice. The results showed that the length of a consultation could be closely approximated by normal distribution with a mean of 12.2 minutes and a variance of 9.37 minutes. a) Find the probability that a consultation would last more than 10 minutes. (3 decimal places) b) How many of the individual patients visiting the medical centre will have a consultation time of more than 10 minutes if there are 578 individual patient consultations on a given day? Use your rounded answer, with 3 decimal places, from part a. (Round your answer to the nearest whole number)QUESTION 6 2 points Save Answer Which of the following is true? 0 The sampling distribution of Xbar is the theoretical distribution of all possible means calculated from all possible samples (of the same size) drawn from a population. O The variance of the sampling distribution of the sample mean Xbar is larger than the variance of the variable X in the original population, 0 As the sample size increases the variance of the distribution of the sample mean also increases. 0 The sampling distribution obear has the same shape, mean and standard deviation as the variable X in the population. QUESTION 7 2 points Save Answer Bags of potting mix have weights that follow a normal distribution with an average weight of 25 kg and a standard deviation of 2.5 kg. Find the weight above which only 4% of the bags are heavier. 0 2943767 0 25.8615 0 29.375 0 25.633 QUESTION 8 4 points Save Answer The general manager of a logistic consulting group believes that 30% of the firm's orders come from new customers. A simple random sample of 150 orders was selected. Using the manager's belief, determine: 1. The standard error for the sampling distribution of proportion. (4 decimal places) 2. The probability that between 26% and 35% of the sample orders will be from new customers. (4 decimal places)QUESTION 9 3 points Save Answer An on-line retailing rm conducts a study into the number of on-line purchases of footwear made during all of last year. The study wants to determine the proportion of Australians over the age of 25 who purchase footwear on-Iine. The managing director of the on-line retailing rm believes this proportion of Australians is 31%. A random sample of 129 Australians over the age of 25 is selected. If the managing director's claim is true, what is the sample proportion value below which 10% of all sample proportions would exist? Express your answer correct to two decimal places. QUESTION 10 2 points Save Answer GIL internet services record customer usage patterns. Historically they have found the duration of an internet session is normally distributed with a variance of 550.2 minutes. What is the probability of selecting a random internet session that is less than or more than 30 minutes either side of the mean internet session duration? (4 decimal places)