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5. Every morning, the depth of a river is measured. It was found that the average height is at 18.25 meters with a standard deviation

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5. Every morning, the depth of a river is measured. It was found that the average height is at 18.25 meters with a standard deviation of 3.1 meters. Assuming that the measurements are normally distributed, what is the probability that the depth of the river will exceed a critical high level of 23 meters? 0.0627 04373 0.5627 0.9373 6. The Standards-Based Assessment Exam (SBAE] is an examination given to randomly selected students around the world that aims to identify the quality of education between schools, localities, and countries. Suppose that the results of the SBAE is normally distributed with a mean score of 110 and a standard deviation of 11.2.Approximately what score should a student get if s/he wishes to have a score higher than 90% of all the examinees? 92 1096 124 128 7. Suppose that the number of minutes for a group of trained policemen to address a crisis is a random number uniformly distributed between 4.0 and 6.3.What is the probability that the crisis will be addressed for no longer than 5.25 minutes? 0.4651 0.5435 06154 0.7558 8. After complaints from customers that a soda product has less volume than advertised (which was 300mL), a sample of 12 sealed soda bottles were taken from a manufacturing plant and the volume of their contents were measured. The mean volume among the sample was found to be at 290mL with a standard deviation of 14mL.Considering a 95% confidence interval for the actual mean content of the soda bottles, which of the following can be concluded as a result of the data collected? The 95% confidence Interval is (281.10, 298.90). Since the upper limit of the confidence interval does not include 300, there is enough evidence to conclude that the amount of soda is in fact lower than advertised. The 95% confidence interval is (279.52, 300.48). Since the upper limit of the confidence interval does Include 300, there is not enough evidence to conclude that the amount of soda is lower than advertised. The 95% confidence interval is (281.10, 298.90). Since the sample size is less than 30, the data is insufficient in concluding anything about the actual contents of the soda bottles. The 95% confidence interval is (282.08, 297.92). Since the upper limit of the confidence interval does not include 300, there is enough evidence to conclude

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