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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A:
Known:
Variable X:
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 populationPopulation Mean = 30 Population Standard Deviation=10 what is the score separating bottom 33% from top 67%Mean 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 =
- Yearly 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…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 = ( , )
- P(y>250) mean is 250 and standard deviation is 50X is a normally distributed variable with mean = 67 and standard deviation = 9 %3D What value of X separates the upper 17.36% of scores from those below X?Scores on a history test have an average of = 70 with standard deviation of 5. What is the z-score for a student who earned a 65 on the test? What is the coefficient of variation? 2. The annual salaries of employees in a large company are approximately normally distributed with a mean of $70,000 and a standard deviation of $30,000. (6 points) What percent of people earn less than $40,000? What percent of people earn more than $85,000? What percent of people earn between $40,000 and $85,000? 3. Assume women’s heights follow a normal distribution with a mean of u = 64.5 inches and a standard deviation of 2.5 inches. Find the probability that a sample of 14 women have a mean height greater than 65 inches.
- The average playing time of music albums in a large collection is 32 minutes, and the standard deviation is 7 minutes. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean? 1 standard deviation above the mean 1 standard deviation below the mean 2 standard deviations above the mean 2 standard deviations below the meanA distribution of values is normal with a mean of 60 and a standard deviation of 3. Find the interval containing the mid-68% of the values. Please show your answer to 1 decimal place. Interval = (,)Assuming that mean annual temperature uniformly distributed between 100C and 180C, calculate the average annual mean temperature.
