These are data of patients' age at hospital XYZ. Interval of Age (in Frequency years) 60-68 51-59 42-50 33-41 24-32 15-23 6-14 1 23 ~18 2 20 5 3 64 55 46 37 28 19 10 Specific Age What is the mean age of the patients in Hospital XYZ?
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- Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 110.Vehicle breakdowns are equally likely to occur at any point on a 10 kilometer stretch of a given expressway. An emergency recovery truck is stationed at one end of this stretch of expressway. Assume that the recovery truck travels at a constant speed of 50 kilometers/hour. What is the expected (average) time taken for the recovery truck to reach a vehicle that breaks down on this stretch of expressway?Scores on a certain IQ test are approximately normally distributed with a mean of 100 and astandard deviation of 20 for a certain population of school children. For purposes of thisexercise, treat this distribution as continuous. Find the proportion of the population having ascore(a) less than 130,(b) between 110 and 130,(c) between 80 and 110,(d) less than 61 or greater than 139,(e) greater than 133.(f) Find the score which is the 90th percentile of this IQ distribution, that is, the score thathas 90% of the population below it.
- The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 120, while the mean score was 72 and the standard deviation was 11. 395061728394105Distribution of Test Scores Use the "Empirical Rule", not a calculator or other technology. Do not round your answers. What is the approximate percentage of students who scored between 50 and 94 on the test?%What is the approximate percentage of students who scored between 61 and 72?%What is the approximate percentage students who scored between 61 and 83 on the test?%What is the approximate percentage of students who scored higher than 94 on the test?How likely it is that a mean from a particular sample is representative of the population is defined as: t-score F-statistic z-score p-valueFind the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. x 0.9 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom, on the right side. The region left of the line is shaded and labeled 0.9. The x-axis below the line is labeled "x". The indicated IQ score, x, is(Round to one decimal place as needed.)
- Assume that a car drove for two hours and traversed 120 miles. The average rate of change is clearly 60 miles per hour. Was it possible for the car to have gone over 60 mph at some point in the interval? Explain how. Was it possible for the car to have stayed under 60 mph the whole time? Explain how. Was it possible for the car never to have gone exactly 60 mph?Explain how. The truth of this statement is an example of the Mean Value Theorem from CalculusReducing the frequency from the tails of a distribution will: increase the standard deviation. reduce the standard deviation. not affect the standard deviation. depend of the N. depend on the range.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- The fuel consumption, in miles per gallon, of all cars of a particular model has a population mean of 25 mpg and population standard deviation of 2 mpg. The population distribution can be assumed to be normal. Find the probability that a car, chosen at random, will have a fuel consumption of less than 24 mpg. Sketch the graph, label the area corresponding to the probability, write the probability in symbolic form before finding the probability (round to 4 decimal places)The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.How do you graph grade curves in StatCruch (finding two bounds within grades; ex. D, C, B)??? In other words, finding two cut off scores? Reference: The mean and standard deviation of last semester’s Test 1 scores are 76.5 and 14.8 respectively. Imagine we want to define letter grades using a Normal distribution (assuming this is appropriate). One possible grade distribution could be that the lowest 10% of students earn F’s, the next 15% earn D’s, the next 50% earn C’s, the next 15% earn B’s, and the rest of the students earn A’s. Using the Normal distribution, calculate the Test 1 scores that would separate these letter grades. Your answer needs to include five Normal graphs from StatCrunch where the shaded area on each graph shows the range of scores needed to earn the specific letter grade. Hint: The graphs for A and F will only have one value as a cutoff score whereas the graphs for a B, C, and D will have two cutoff scores. Which students are happy about their curved grades? Why?…
