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1} Select the statementis} that are true about sampling distributions. 1.The shape of all sampling distributions are approximately normal. 2.The mean of the sampling distribution

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1} Select the statementis} that are true about sampling distributions. 1.The shape of all sampling distributions are approximately normal. 2.The mean of the sampling distribution of :T: is equal to the mean of the distribution from which the sample was taken. 3.The standard deviation of the sampling distribution of 5'. is equal to the standard deviation of the distribution from which the sample was taken divided by the sample size. 4.The shape of all sampling distributions are symmetrical. 0 None ofthe above 2} Based on FAA estimates the average age of the eets of the I 0 largest US. commercial passenger carriers is 13.4 years with a standard deviation of 1.7 years. Suppose that 40 airplanes were randomly selected from the fleets of these 1!] carriers and were inspected for cracks in these airplanes that are considered too large for ying. What is the probability that the average age of these 4-!) airplanes is at least 14 years old? Round your answer to 4 decimal places. Remember to round your zvalue to two decimal places. 0 0m 29 0 0.2554 0 0.3539 0 0.4?31 O None of the above 3} Assume that the average full time college student in the U.S. requires a total of $10,500 per year to cover the costs of tuition, books and fees with a standard deviation of $1 ,300. If 50 full time students are randomly sampled in the U.S., what is the probability that their total annual costs for tuition, books and fees exceed $550,000? Round your answer to 4 decimal places. Remember to round your zvalue to 2 decimal places. To answer the question input El! the actual number. Do not include units. Do not give your answer in sentence form just include the numerical answer rounded to exactly 4 decimal places. 4} When the sample size n is large, the standard deviation of i is approximately the same as the standard deviation of the distribution from which the sample is taken

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