Suppose that samples of size n = 25 are selected at random froma normal population with mean 100 and standard deviation 10. What is the probability that the sample mean falls in the interval from ag – 2,00g to µg + 0.60y ? Express your answer to four decimal places (e.g. 0.9876). The probability is 0.8054 Statistical Tables and Charts
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- Suppose that IQ scores in one region are normally distributed with a standard deviation of 13. Suppose also that exactly 55% of the individuals from this region have IQ scores of greater than 100 (and that 45% do not). What is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.The temperature distribution of city A has a population mean u = 21.4, and standard deviation o = 4.32. You randomly select 19 days and get the temperature for these days. What is the probability that your sample mean is less than 22.14? Give your answer to 4 decimal places.Suppose X is a normal random variable with mean µ = 70 inches. If P(X > 79) = 0.025 what is the standard deviation of this random normal variable?
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- Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard deviation of 5 weeks and a sample of 55. In the next five questions we will be calculating the probability that the sample of 55 will provide a mean within 1 week of the population mean. What is the probability to 4 decimals for (x<20.5)? Use the rounded standard error of the mean in calculations.Suppose that IQ scores in one region are normally distributed with a standard deviation of 13. Suppose also that exactly 51% of the individuals from this region have IQ scores of greater than 100 (and that 49% do not). What is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. ?Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were normally distributed with meand of 30 and standard deviation of 10. What proportion of people in this population would have anxiety scored within the following range of scores? between 10-50.