Known: Variable X: Mean = 6, Standard Deviation = 0,6 and Normal Distribution Variable Y: Mean = 3, Standard Deviation = 0,3 and Lognormal Distribution
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Known:
Variable X:
Mean = 6, Standard Deviation = 0,6 and
Variable Y:
Mean = 3, Standard Deviation = 0,3 and Lognormal Distribution
Find:
a. The probabilty of Y will exceed 6
b. The probabilty of X will exceed 8
c. Calculate X and Y 90th percentile value
d. Calculate X and Y 50 year return period
Step by step
Solved in 2 steps
- The standard error of the mean (Qx) is a(n) estimate of population means which make up the sampling distribution. indication of variability in the distribution of sample means indication of variability in the raw data derived from the sample measure of variability in the populationHeights of me are normally distributed with a mean of 176cm and a standard deviation of 7cm.what is the approximate percentage of men greater than 155cm?use the empirical rulePopulation Mean = 30 Population Standard Deviation=10 what is the score separating bottom 33% from top 67%
- Relative Dispersion can be calculated by dividing absolute dispersion with average dividing standard deviation with mean both noneMean birthweight is studied because low birthweight is an indicator of infant mortality. A study of babies in Norway published in the International Journal of Epidemiology shows that birthweight of full-term babies (37 weeks or more of gestation) are very close to normally distributed with a mean of 3600 g and a standard deviation of 600 g. Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 200 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g. n =Mean 2, x is 5 and z score is 4 find standard deviation
- Mean =8, median =11, standard deviation =5 Find the coefficient of skewness (round to two decimals)Standard deviation is always calculated from (a) (b) median (c) mode (d) lower quartile. meanYearly snow fall of a certain town follows a normal distribution with a mean of 37 inches and a standard deviation of 2.5 inches. What is the z-score if in 2007 the snowfall was 40 inches?
- Let's consider the annual precipitation levels in Los Angeles county. Suppose the average annual precipitation in LA county is normally distributed with a mean of 15 inches and a standard deviation of 3 inches. We can classify the precipitation levels in the following way: Dry Annual precipitation is more than 1 standard deviation below the mean. Normal Annual precipitation is less than 1 standard deviations below the mean and less than 2 standard deviation above the mean. Humid Annual precipitation is more than 2 standard deviations above the mean. Before answering the following questions it may be helpful to mark on a bell shaped curve where the above regions lie. According to the empirical rule, what is the probability of experiencing a Dry year in Los Angeles? According to the empirical rule, what is the probability of experiencing a Humid year in Los Angeles? According to the empirical rule, what is the probability of experiencing a Normal year in Los…cise 6. Remember, the mean and standard deviation of the n speed of 23.84 mph, with 40 hours describing weights of the yearling Angus steers in Exer- 16. Temperatures A town's January high temperatures a standard deviation of 3.56 mph. One car's z-score was a weight of 1152 pounds with 14. Unusual steers? Suppose a Normal model is useful for weights were 1152 lbs and 84 lbs. Which would be more in July the mean high temperature is 74° and the standard deviation is 8°. In which month is it more average 36°F with a standard deviation of 10°, v 11. Mensa sometimes classi points, wha a 22. More mean of 100 and a standa answ ar they a) I te in Exercise 6 had a mean b) A c) cise 7 were traveling at a mean 23. IQ: ans going? +3.2. How fast was that one a) b) c) unusual, a steer weighing 1000 pounds or one 1250 pounds? 15. Unusual cars? Suppose a Normal model is useful for describing speeds of Stanford cars in Exercise 7. Remem- ber, the mean and standard deviation of the speeds were 23.84 mph…A distribution of values is normal with a mean of 120 and a standard deviation of 6. Find the interval containing the mid-44% of the values. Please show your answer to 1 decimal place. Interval = ( , )
