Suppose the selling price of various houses in Livingstone follow a normal distribution with mean u=k276,000 and standard deviation õ=k32,000. (i) Calculate the probability that the next house in Livingstone will sell for more than k206,000.
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Suppose the selling price of various houses in Livingstone follow a
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- Suppose that IQ scores in 1 region are normally distributed worth a standard deviation of 16. Suppose also that exactly 60% of the individuals from this region have scores greater than 100 and 40% don't. What is the mean IQ score? Carry intermediate computations to 4 places and your answer to 1.Suppose that a recent article stated that the mean time spent in jail by a first–time convicted burglar is 3.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 45 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.4 years. Suppose that it is somehow known that the population standard deviation is 1.1. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.A manufacturer of calculator batrries claims that the mean length of life for its battry is 500 operating hours. Suppose the standard deviation of the length of life is known to be 25 operating hours,and the distribution of life length is symmetric and mound-shaped. Approxiamately what percentage of the manufacturer'sbattries will last less than 525 hours?
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- Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.In a random sample of ten cell phones, the mean full retail price was $554.00 and the standard deviation was $167.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.)11. If the scores for an IQ Test have a mean of 100 and a standard deviation of 15, find the probability of a student having an IQ score that will fall below 112.
- Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 3.0 seconds; what is the average value of the distribution?Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300In Professor Krugman's economics course, the correlation between the students' total scores prior to the final examination and their final‑examination scores is ?=0.5.�=0.5. The pre‑exam totals for all students in the course have mean 280280 and standard deviation 40.40. The final‑exam scores have mean 7575 and standard deviation 8.8. Professor Krugman has lost Julie's final exam but knows that her total before the exam was 300.300. He decides to predict her final‑exam score from her pre‑exam total. © Macmillan Learning (a) What is the slope of the least-squares regression line of final-exam scores on pre-exam total scores in this course? Give your answer to one decimal place. slope: What is the intercept? Give your answer as a whole number. intercept: